ResponseSpectraCalculator

The ResponseSpectraCalculator calculates the acceleration, velocity and displacement response spectra for a set of response histories calculated by the ResponseHistoryBuilder VectorPostprocessor. The response spectra will be calculated as functions of frequency and period, and the outputs will be stored in a csv file.

Usage

For example, the input file below contains a ResponseHistoryBuilder VectorPostprocessor called 'accel_hist', which builds the response histories of the acceleration variables, accel_x and accel_y at nodes 8 and 9. It is desired that the corresponding response spectra are calculated. This can be calculated by ResponseSpectraCalculator using the 'accel_spec' block as follows.

[VectorPostprocessors<<<{"href": "../../syntax/VectorPostprocessors/index.html"}>>>]
  [./accel_hist]
    type = ResponseHistoryBuilder<<<{"description": "Calculates response histories for a given node and variable(s).", "href": "ResponseHistoryBuilder.html"}>>>
    variables<<<{"description": "Variable name for which the response history is requested."}>>> = 'accel_x accel_y'
    nodes<<<{"description": "Node number(s) at which the response history is needed."}>>> = '8 9'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator<<<{"description": "Calculate the response spectrum at the requested nodes or points.", "href": "ResponseSpectraCalculator.html"}>>>
    vectorpostprocessor<<<{"description": "Name of the ResponseHistoryBuilder vectorpostprocessor, for which response spectra are calculated."}>>> = accel_hist
    regularize_dt<<<{"description": "dt for response spectra calculation. The acceleration response will be regularized to this dt prior to the response spectrum calculation."}>>> = 0.005
    outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = out
  [../]
[]

note:Acceleration histories only

ResponseSpectraCalculator assumes that the response histories provided through the vectorpostprocessor input parameter (e.g., in the 'accel_hist' block above) are acceleration histories. No checks are performed to ensure that they are accelerations. The user should ensure this by defining the corresponding ResponseHistoryBuilder block appropriately.

Special care must be taken to ensure that the response spectra calculations are performed only at the end of the simulation (last time step) and not at every time step. In order to accomplish this, an 'Outputs' block must be created as shown below. This block (named 'out') ensures that the CSV output is only calculated at the final timestep.

[Outputs<<<{"href": "../../syntax/Mastodon/Outputs/index.html"}>>>]
  [./out]
    type = CSV<<<{"description": "Output for postprocessors, vector postprocessors, and scalar variables using comma seperated values (CSV).", "href": "../outputs/CSV.html"}>>>
    execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'final'
  [../]
[]

The name of the Outputs block 'out' should be provided in the response spectra VectorPostprocessor block as outputs = out as shown above. For this input, a csv file of the response spectra is created, as shown below. Note that the columns in the csv file are organized according to the node numbers and variable names. For example, the spectral accelerations for accel_x at node 8 are under node_8_accel_x_sd, node_8_accel_x_sv, and node_8_accel_x_sa, which are the displacement, velocity and acceleration spectra, respectively. Note that the corresponding frequency and period columns are also included in the output file.

frequency,period,node_8_accel_x_sd,node_8_accel_x_sv,node_8_accel_x_sa,node_8_accel_y_sd,node_8_accel_y_sv,node_8_accel_y_sa,node_9_accel_x_sd,node_9_accel_x_sv,node_9_accel_x_sa,node_9_accel_y_sd,node_9_accel_y_sv,node_9_accel_y_sa
0.01,100,0.11063001712871,0.0069510897480287,0.00043674989789557,0.22126003425737,0.013902179496054,0.00087349979579096,0.1106300171287,0.0069510897480284,0.00043674989789555,0.22126003425736,0.013902179496054,0.00087349979579093
0.010232929922808,97.723722095581,0.11062233946429,0.0071125077893519,0.00045730154775764,0.22124467892862,0.014225015578706,0.00091460309551542,0.1106223394643,0.0071125077893527,0.00045730154775769,0.22124467892863,0.014225015578707,0.0009146030955155
0.010471285480509,95.499258602144,0.1106145011866,0.0072776636743126,0.00047881957598907,0.22122900237319,0.014555327348625,0.00095763915197815,0.11061450118659,0.007277663674312,0.00047881957598904,0.2212290023732,0.014555327348626,0.00095763915197819
0.010715193052376,93.325430079699,0.11060644066131,0.0074466395587944,0.00050134911120052,0.22121288132257,0.014893279117585,0.0010026982224008,0.11060644066132,0.0074466395587948,0.00050134911120054,0.2212128813226,0.014893279117587,0.0010026982224009
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0.011481536214969,87.096358995608,0.11058085393723,0.0079773722040607,0.00057549263743472,0.22116170787446,0.015954744408121,0.0011509852748694,0.11058085393724,0.0079773722040615,0.00057549263743477,0.22116170787446,0.015954744408121,0.0011509852748694
0.011748975549395,85.113803820238,0.11057183146239,0.0081625230251272,0.00060256560151483,0.22114366292479,0.016325046050255,0.0012051312030297,0.11057183146238,0.0081625230251267,0.00060256560151479,0.22114366292478,0.016325046050254,0.0012051312030296
0.012022644346174,83.176377110267,0.11056254892743,0.008351951403512,0.00063091067385224,0.22112509785485,0.016703902807023,0.0012618213477044,0.11056254892742,0.0083519514035113,0.00063091067385219,0.22112509785484,0.016703902807023,0.0012618213477044
0.012302687708124,81.28305161641,0.11055299793307,0.0085457550505012,0.00066058750778862,0.22110599586616,0.017091510101004,0.0013211750155774,0.11055299793307,0.0085457550505011,0.00066058750778862,0.22110599586616,0.017091510101004,0.0013211750155774
0.012589254117942,79.432823472428,0.11054316977398,0.0087440338433972,0.0006916585439951,0.22108633954798,0.017488067686796,0.0013833170879903,0.110543169774,0.0087440338433985,0.00069165854399521,0.22108633954794,0.017488067686792,0.00138331708799
0.012882495516931,77.624711662869,0.11053305542808,0.0089468898695455,0.00072418913987103,0.2210661108562,0.017893779739095,0.0014483782797424,0.1105330554281,0.0089468898695472,0.00072418913987117,0.2210661108562,0.017893779739094,0.0014483782797423
0.013182567385564,75.857757502918,0.11052264554264,0.0091544274707799,0.00075824770486007,0.2210452910853,0.018308854941561,0.0015164954097203,0.11052264554265,0.0091544274707804,0.00075824770486012,0.2210452910853,0.018308854941561,0.0015164954097203
0.013489628825917,74.131024130092,0.11051193042151,0.0093667532885941,0.00079390584197336,0.22102386084302,0.018733506577189,0.0015878116839468,0.1105119304215,0.0093667532885935,0.00079390584197332,0.22102386084302,0.018733506577188,0.0015878116839467
0.013803842646029,72.443596007499,0.1105009000108,0.0095839763098367,0.0008312384957818,0.22100180002161,0.019167952619675,0.0016624769915637,0.11050090001081,0.0095839763098373,0.00083123849578185,0.22100180002159,0.019167952619673,0.0016624769915635
0.014125375446228,70.794578438414,0.11048954388528,0.0098062079130863,0.00087032410717995,0.22097908777058,0.019612415826174,0.00174064821436,0.11048954388528,0.0098062079130863,0.00087032410717995,0.22097908777055,0.019612415826172,0.0017406482143598
0.014454397707459,69.183097091894,0.11047785123239,0.010033561915441,0.00091124477520127,0.22095570246479,0.020067123830882,0.0018224895504026,0.1104778512324,0.010033561915441,0.00091124477520134,0.2209557024648,0.020067123830883,0.0018224895504027
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0.015135612484362,66.06934480076,0.11045341106456,0.010504104863548,0.00099893899084675,0.22090682212914,0.021008209727098,0.0019978779816937,0.11045341106456,0.010504104863548,0.00099893899084675,0.22090682212913,0.021008209727097,0.0019978779816936
0.015488166189125,64.565422903466,0.11044063984526,0.010747534065475,0.001045896588886,0.22088127969055,0.021495068130952,0.0020917931777722,0.11044063984529,0.010747534065477,0.0010458965888862,0.22088127969053,0.02149506813095,0.002091793177772
0.015848931924611,63.095734448019,0.11042748465492,0.010996566276134,0.0010950577226611,0.22085496930986,0.021993132552271,0.0021901154453224,0.11042748465493,0.010996566276135,0.0010950577226612,0.22085496930983,0.021993132552267,0.0021901154453221
0.016218100973589,61.659500186148,0.11041393249643,0.011251328226341,0.0011465254791188,0.22082786499284,0.022502656452681,0.0022930509582375,0.11041393249642,0.011251328226341,0.0011465254791188,0.22082786499285,0.022502656452682,0.0022930509582376
0.016595869074376,60.255958607436,0.1103999698813,0.011511949377119,0.0012004077410876,0.22079993976259,0.023023898754238,0.0024008154821753,0.11039996988129,0.011511949377118,0.0012004077410876,0.22079993976258,0.023023898754237,0.0024008154821751
0.016982436524617,58.884365535559,0.11038558280789,0.011778561969586,0.0012568174080562,0.22077116561577,0.023557123939172,0.0025136348161124,0.11038558280788,0.011778561969586,0.0012568174080562,0.22077116561576,0.023557123939171,0.0025136348161123
0.017378008287494,57.543993733716,0.11037075674215,0.0120513010755,0.0013158726269463,0.22074151348431,0.024102602151,0.0026317452538927,0.11037075674215,0.0120513010755,0.0013158726269463,0.22074151348432,0.024102602151002,0.0026317452538928
0.017782794100389,56.234132519035,0.11035547659466,0.012330304647772,0.0013776970332456,0.22071095318928,0.02466060929554,0.0027553940664908,0.11035547659466,0.012330304647772,0.0013776970332456,0.2207109531893,0.024660609295542,0.002755394066491
0.0181970085861,54.954087385762,0.11033972669661,0.012615713571172,0.0014424200029739,0.2206794533933,0.025231427142354,0.0028848400059489,0.11033972669662,0.012615713571174,0.0014424200029741,0.22067945339321,0.025231427142344,0.0028848400059478
0.018620871366629,53.703179637025,0.11032349077812,0.012907671713545,0.0015101769159907,0.22064698155625,0.025815343427089,0.0030203538319815,0.11032349077812,0.012907671713544,0.0015101769159907,0.22064698155627,0.025815343427092,0.0030203538319818
0.019054607179632,52.480746024977,0.11030675194124,0.013206325976631,0.0015811094310343,0.22061350388251,0.026412651953268,0.0031622188620692,0.11030675194126,0.013206325976635,0.0015811094310347,0.22061350388248,0.026412651953263,0.0031622188620686
0.01949844599758,51.286138399136,0.11028949263442,0.013511826347202,0.0016553657730761,0.22057898526887,0.027023652694407,0.0033107315461525,0.11028949263444,0.013511826347204,0.0016553657730762,0.22057898526887,0.027023652694407,0.0033107315461524
0.019952623149689,50.118723362727,0.11027169462639,0.013824325948177,0.0017331010334876,0.2205433892528,0.027648651896355,0.0034662020669754,0.1102716946264,0.013824325948177,0.0017331010334877,0.22054338925279,0.027648651896354,0.0034662020669752
0.020417379446695,48.977881936845,0.11025333897543,0.014143981089197,0.0018144774834996,0.22050667795085,0.028287962178393,0.0036289549669991,0.11025333897542,0.014143981089197,0.0018144774834996,0.22050667795086,0.028287962178395,0.0036289549669994
0.02089296130854,47.863009232264,0.11023440600221,0.014470951317547,0.0018996649016335,0.22046881200446,0.0289419026351,0.0037993298032678,0.11023440600222,0.014470951317549,0.0018996649016338,0.22046881200444,0.028941902635097,0.0037993298032674
0.021379620895022,46.77351412872,0.11021487525685,0.014805399468166,0.00198884091554,0.22042975051369,0.02961079893633,0.0039776818310798,0.11021487525685,0.014805399468166,0.00198884091554,0.22042975051369,0.02961079893633,0.0039776818310797
0.021877616239496,45.708818961487,0.1101947254881,0.015147491713668,0.0020821913589722,0.22038945097624,0.030294983427341,0.0041643827179451,0.11019472548811,0.01514749171367,0.0020821913589725,0.22038945097622,0.030294983427339,0.0041643827179448
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0.023988329190195,41.686938347034,0.1101074811535,0.01659574465075,0.0025013626470025,0.22021496230699,0.033191489301499,0.0050027252940049,0.11010748115351,0.016595744650752,0.0025013626470028,0.22021496230704,0.033191489301506,0.005002725294006
0.02454708915685,40.738027780411,0.1100838869848,0.016978670181501,0.0026186869761605,0.22016777396962,0.033957340363008,0.0052373739523218,0.11008388698481,0.016978670181504,0.0026186869761609,0.22016777396958,0.033957340363002,0.0052373739523208
0.025118864315096,39.81071705535,0.11005952745001,0.017370309634943,0.0027414951145491,0.22011905490005,0.034740619269891,0.005482990229099,0.11005952745003,0.017370309634945,0.0027414951145495,0.22011905490001,0.034740619269883,0.0054829902290978
0.025703957827689,38.904514499428,0.11003437465357,0.01777085387744,0.0028700417349359,0.22006874930713,0.035541707754878,0.0057400834698714,0.11003437465357,0.01777085387744,0.0028700417349359,0.22006874930716,0.035541707754882,0.0057400834698721
0.026302679918954,38.018939632056,0.1100083995845,0.018180497479445,0.0030045931933243,0.22001679916902,0.036360994958892,0.006009186386649,0.11000839958449,0.018180497479443,0.0030045931933239,0.22001679916898,0.036360994958886,0.0060091863866479
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0.028840315031266,34.673685045253,0.10989565457197,0.019914088663096,0.0036086133598844,0.21979130914395,0.039828177326193,0.0072172267197689,0.10989565457197,0.019914088663096,0.0036086133598844,0.21979130914397,0.039828177326197,0.0072172267197697
0.029512092266664,33.88441561392,0.10986509046608,0.020372279875519,0.0037776311434853,0.21973018093221,0.040744559751049,0.0075552622869725,0.10986509046608,0.02037227987552,0.0037776311434854,0.21973018093216,0.040744559751038,0.0075552622869706
0.03019951720402,33.113112148259,0.10983350377667,0.020840817684869,0.0039545281434082,0.21966700755333,0.041681635369738,0.0079090562868164,0.10983350377667,0.020840817684869,0.0039545281434082,0.21966700755333,0.041681635369739,0.0079090562868165
0.030902954325136,32.359365692963,0.10980085623109,0.021319923548725,0.0041396684481844,0.2196017124622,0.042639847097454,0.0082793368963696,0.10980085623109,0.021319923548725,0.0041396684481844,0.21960171246219,0.042639847097451,0.008279336896369
0.031622776601684,31.622776601684,0.10976710799881,0.021809822866784,0.0043334326844582,0.21953421599763,0.043619645733571,0.008666865368917,0.10976710799882,0.021809822866786,0.0043334326844586,0.21953421599763,0.04361964573357,0.0086668653689167
0.032359365692963,30.902954325136,0.10973221762488,0.022310744994656,0.004536218742231,0.21946443524979,0.044621489989318,0.0090724374844633,0.10973221762489,0.022310744994657,0.0045362187422313,0.2194644352498,0.044621489989319,0.0090724374844636
0.033113112148259,30.19951720402,0.1096961419606,0.022822923252862,0.0047484425294841,0.21939228392118,0.045645846505721,0.0094968850589677,0.1096961419606,0.022822923252862,0.0047484425294842,0.2193922839212,0.045645846505724,0.0094968850589683
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1,1,0.072174029978556,0.45348285472485,2.8493171240472,0.14434805995712,0.90696570944971,5.6986342480945,0.072174029978554,0.45348285472483,2.8493171240471,0.14434805995711,0.90696570944967,5.6986342480942
1.0232929922808,0.97723722095581,0.069583347841131,0.44738893240364,2.8765051272649,0.13916669568225,0.89477786480721,5.7530102545294,0.069583347841124,0.4473889324036,2.8765051272647,0.13916669568226,0.89477786480727,5.7530102545298
1.0471285480509,0.95499258602144,0.067127753648868,0.44165386005263,2.9057747577806,0.13425550729775,0.88330772010534,5.8115495155616,0.067127753648874,0.44165386005267,2.9057747577808,0.13425550729773,0.88330772010526,5.8115495155611
1.0715193052376,0.93325430079699,0.064791622610927,0.43621316907793,2.936829195028,0.12958324522187,0.87242633815593,5.8736583900566,0.064791622610927,0.43621316907793,2.936829195028,0.12958324522187,0.87242633815598,5.8736583900569
1.0964781961432,0.91201083935591,0.062572638575845,0.43108646270089,2.969916924611,0.12514527715169,0.86217292540176,5.9398338492218,0.062572638575837,0.43108646270084,2.9699169246106,0.12514527715169,0.86217292540179,5.939833849222
1.122018454302,0.89125093813375,0.060467723660903,0.42628842058065,3.00526969628,0.1209354473218,0.85257684116126,6.0105393925597,0.060467723660898,0.42628842058061,3.0052696962797,0.1209354473218,0.85257684116125,6.0105393925596
1.1481536214969,0.87096358995608,0.058467948850405,0.42179145248093,3.042830010014,0.11693589770081,0.84358290496184,6.0856600200278,0.0584679488504,0.42179145248089,3.0428300100137,0.11693589770081,0.84358290496186,6.0856600200279
1.1748975549395,0.85113803820238,0.056566531936638,0.41757978797833,3.0826156979775,0.11313306387326,0.83515957595656,6.1652313959542,0.056566531936631,0.41757978797827,3.0826156979771,0.11313306387327,0.83515957595658,6.1652313959544
1.2022644346174,0.83176377110267,0.05475864192311,0.41364957727623,3.1247300292995,0.10951728384622,0.82729915455244,6.2494600585989,0.054758641923107,0.4136495772762,3.1247300292993,0.10951728384621,0.82729915455241,6.2494600585987
1.2302687708124,0.8128305161641,0.053049817100541,0.41007548496295,3.1698865813033,0.10609963420108,0.82015096992588,6.3397731626064,0.053049817100537,0.41007548496292,3.1698865813031,0.10609963420108,0.82015096992586,6.3397731626063
1.2589254117942,0.79432823472428,0.051426861539843,0.40678969011248,3.2177318822694,0.10285372307968,0.81357938022494,6.4354637645386,0.051426861539843,0.40678969011247,3.2177318822693,0.10285372307968,0.81357938022489,6.4354637645382
1.2882495516931,0.77624711662869,0.049893488578671,0.4038534407576,3.2689155691045,0.099786977157334,0.80770688151514,6.5378311382084,0.049893488578666,0.40385344075757,3.2689155691042,0.099786977157331,0.80770688151511,6.5378311382082
1.3182567385564,0.75857757502918,0.048462652786512,0.40140899432647,3.3248114055166,0.096925305573026,0.80281798865294,6.6496228110332,0.048462652786512,0.40140899432647,3.3248114055166,0.09692530557302,0.8028179886529,6.6496228110329
1.3489628825917,0.74131024130092,0.047117032242011,0.39935382091177,3.3848370045394,0.094234064484018,0.79870764182352,6.7696740090785,0.047117032242009,0.39935382091176,3.3848370045393,0.094234064484019,0.79870764182353,6.7696740090786
1.3803842646029,0.72443596007499,0.045839802173536,0.39757828039033,3.4482803490235,0.091679604347072,0.79515656078065,6.8965606980471,0.045839802173535,0.39757828039032,3.4482803490235,0.091679604347071,0.79515656078064,6.896560698047
1.4125375446228,0.70794578438414,0.044609655280259,0.39592122406037,3.5138943503747,0.089219310560518,0.79184244812075,7.0277887007494,0.04460965528026,0.39592122406038,3.5138943503747,0.089219310560518,0.79184244812075,7.0277887007494
1.4454397707459,0.69183097091894,0.043416557435524,0.3943077389044,3.5810898455225,0.086833114871042,0.78861547780874,7.1621796910445,0.043416557435524,0.3943077389044,3.5810898455225,0.086833114871046,0.78861547780878,7.1621796910448
1.4791083881682,0.67608297539198,0.042249261763073,0.39264406837958,3.6490427998061,0.084498523526147,0.78528813675916,7.2980855996123,0.042249261763072,0.39264406837956,3.649042799806,0.084498523526143,0.78528813675912,7.2980855996119
1.5135612484362,0.6606934480076,0.04109735342969,0.39083529053479,3.7168384720623,0.082194706859383,0.7816705810696,7.4336769441248,0.041097353429691,0.39083529053479,3.7168384720623,0.082194706859383,0.78167058106961,7.4336769441248
1.5488166189125,0.64565422903466,0.039953324403089,0.38880589215419,3.7836656656819,0.079906648806176,0.77761178430837,7.5673313313636,0.039953324403088,0.38880589215418,3.7836656656818,0.079906648806175,0.77761178430836,7.5673313313635
1.5848931924611,0.63095734448019,0.038813360950906,0.38651038500961,3.8489394904305,0.077626721901813,0.77302077001922,7.6978789808611,0.038813360950906,0.38651038500961,3.8489394904305,0.077626721901814,0.77302077001924,7.6978789808612
1.6218100973589,0.61659500186148,0.037689355815062,0.38405960491294,3.9136190294592,0.075378711630121,0.76811920982585,7.8272380589181,0.037689355815059,0.38405960491291,3.9136190294589,0.075378711630122,0.76811920982586,7.8272380589182
1.6595869074376,0.60255958607436,0.036580364947357,0.38144150756862,3.9774787349882,0.073160729894713,0.76288301513722,7.9549574699762,0.036580364947357,0.38144150756861,3.9774787349881,0.073160729894713,0.76288301513723,7.9549574699762
1.6982436524617,0.58884365535559,0.035473410822109,0.37851479967994,4.038897028967,0.070946821644215,0.75702959935985,8.0777940579338,0.035473410822107,0.37851479967992,4.0388970289669,0.070946821644215,0.75702959935985,8.0777940579338
1.7378008287494,0.57543993733716,0.034380001917203,0.37539269124378,4.0988849558129,0.068760003834407,0.75078538248756,8.197769911626,0.034380001917203,0.37539269124377,4.0988849558129,0.068760003834407,0.75078538248755,8.1977699116259
1.7782794100389,0.56234132519035,0.033290934003645,0.37196827102796,4.1560983130236,0.066581868007288,0.7439365420559,8.3121966260471,0.033290934003644,0.37196827102795,4.1560983130235,0.066581868007288,0.7439365420559,8.3121966260471
1.81970085861,0.54954087385762,0.032197594079089,0.36813180233765,4.2090419414406,0.064395188158178,0.7362636046753,8.4180838828813,0.032197594079089,0.36813180233765,4.2090419414407,0.064395188158177,0.73626360467529,8.4180838828812
1.8620871366629,0.53703179637025,0.03108643056987,0.36370625848737,4.2553049686926,0.062172861139742,0.72741251697478,8.5106099373856,0.031086430569872,0.3637062584874,4.2553049686929,0.062172861139742,0.72741251697477,8.5106099373855
1.9054607179632,0.52480746024977,0.029978642117712,0.35891521885641,4.2970636835692,0.059957284235425,0.71783043771281,8.5941273671385,0.029978642117713,0.35891521885641,4.2970636835693,0.059957284235424,0.7178304377128,8.5941273671383
1.949844599758,0.51286138399136,0.028847947226927,0.35342301799821,4.329868904307,0.057695894453854,0.70684603599642,8.6597378086142,0.028847947226927,0.3534230179982,4.329868904307,0.057695894453855,0.70684603599643,8.6597378086142
1.9952623149689,0.50118723362727,0.027697896122641,0.34723756207377,4.35317989428,0.055395792245283,0.69447512414756,8.7063597885601,0.027697896122641,0.34723756207377,4.35317989428,0.055395792245283,0.69447512414756,8.7063597885602
2.0417379446695,0.48977881936845,0.026532960022998,0.34038124223099,4.3666213631005,0.053065920045996,0.68076248446199,8.7332427262009,0.026532960022998,0.34038124223099,4.3666213631004,0.053065920045996,0.68076248446199,8.733242726201
2.089296130854,0.47863009232264,0.025377877348899,0.33314646576971,4.3733589743929,0.050755754697798,0.66629293153943,8.7467179487859,0.025377877348899,0.33314646576972,4.373358974393,0.050755754697797,0.66629293153941,8.7467179487858
2.1379620895022,0.4677351412872,0.024220080941208,0.32535351752676,4.3705432539217,0.048440161882417,0.65070703505353,8.7410865078436,0.024220080941208,0.32535351752676,4.3705432539218,0.048440161882418,0.65070703505354,8.7410865078437
2.1877616239496,0.45708818961488,0.023064378390521,0.31704555640374,4.3581441100821,0.046128756781041,0.63409111280746,8.716288220164,0.023064378390521,0.31704555640373,4.3581441100821,0.046128756781041,0.63409111280746,8.7162882201641
2.2387211385683,0.44668359215096,0.021916915159307,0.30828993254268,4.3364990837596,0.043833830318612,0.61657986508534,8.672998167519,0.021916915159307,0.30828993254268,4.3364990837597,0.043833830318613,0.61657986508536,8.6729981675193
2.2908676527678,0.43651583224017,0.020802774661785,0.29943404766169,4.3100379808358,0.04160554932357,0.59886809532337,8.6200759616714,0.020802774661786,0.29943404766169,4.3100379808359,0.04160554932357,0.59886809532338,8.6200759616715
2.3442288153199,0.42657951880159,0.01971133212823,0.29033265923639,4.2763752581974,0.039422664256459,0.58066531847277,8.5527505163945,0.01971133212823,0.29033265923639,4.2763752581973,0.039422664256459,0.58066531847276,8.5527505163944
2.3988329190195,0.41686938347034,0.018641778325334,0.28097472549738,4.2349391238626,0.037283556650667,0.56194945099476,8.4698782477251,0.018641778325334,0.28097472549738,4.2349391238625,0.037283556650667,0.56194945099475,8.469878247725
2.454708915685,0.40738027780411,0.017606647394226,0.27155423677022,4.1882876311842,0.035213294788452,0.54310847354045,8.3765752623684,0.017606647394226,0.27155423677022,4.1882876311842,0.035213294788452,0.54310847354045,8.3765752623684
2.5118864315096,0.3981071705535,0.016608374041876,0.26212414892601,4.1370136099383,0.033216748083752,0.52424829785203,8.2740272198766,0.016608374041876,0.26212414892602,4.1370136099384,0.033216748083753,0.52424829785204,8.2740272198768
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44.668359215096,0.022387211385683,2.7252908987673e-05,0.0076487907877675,2.1467066338313,5.4505817975346e-05,0.015297581575535,4.2934132676626,2.7252908987672e-05,0.0076487907877674,2.1467066338313,5.4505817975347e-05,0.015297581575535,4.2934132676627
45.708818961488,0.021877616239496,2.5700975137397e-05,0.0073812432488927,2.1198710013165,5.1401950274787e-05,0.014762486497783,4.2397420026324,2.5700975137397e-05,0.0073812432488927,2.1198710013165,5.1401950274791e-05,0.014762486497785,4.2397420026327
46.77351412872,0.021379620895022,2.4813234051258e-05,0.0072922792022887,2.143103791077,4.9626468102509e-05,0.014584558404575,4.2862075821534,2.4813234051258e-05,0.0072922792022887,2.143103791077,4.9626468102513e-05,0.014584558404577,4.2862075821538
47.863009232264,0.02089296130854,2.3049345701984e-05,0.0069316802001001,2.0845793636703,4.6098691403961e-05,0.013863360400198,4.16915872734,2.3049345701984e-05,0.0069316802001001,2.0845793636703,4.6098691403965e-05,0.013863360400199,4.1691587273404
48.977881936845,0.020417379446695,2.2368147330236e-05,0.006883509733372,2.1183116129326,4.4736294660473e-05,0.013767019466744,4.2366232258654,2.2368147330236e-05,0.0068835097333719,2.1183116129326,4.4736294660472e-05,0.013767019466744,4.2366232258653
50.118723362727,0.019952623149689,2.1949242751903e-05,0.0069119320168942,2.1766037555909,4.3898485503807e-05,0.013823864033789,4.3532075111818,2.1949242751903e-05,0.0069119320168942,2.1766037555908,4.3898485503806e-05,0.013823864033789,4.3532075111817
51.286138399136,0.01949844599758,2.0936523826485e-05,0.0067465926982879,2.1740243707034,4.1873047652971e-05,0.013493185396576,4.348048741407,2.0936523826485e-05,0.0067465926982878,2.1740243707034,4.187304765297e-05,0.013493185396576,4.3480487414069
52.480746024977,0.019054607179632,2.0277103038752e-05,0.006686299472488,2.2047824361475,4.0554206077509e-05,0.013372598944978,4.4095648722956,2.0277103038752e-05,0.0066862994724881,2.2047824361475,4.0554206077506e-05,0.013372598944977,4.4095648722953
53.703179637025,0.018620871366629,1.9286934436291e-05,0.0065079337076675,2.1959529796348,3.8573868872588e-05,0.013015867415337,4.3919059592702,1.9286934436291e-05,0.0065079337076676,2.1959529796348,3.8573868872584e-05,0.013015867415336,4.3919059592698
54.954087385762,0.0181970085861,1.7944798544803e-05,0.0061961012138914,2.1394316663369,3.5889597089607e-05,0.012392202427783,4.2788633326738,1.7944798544803e-05,0.0061961012138916,2.1394316663369,3.5889597089607e-05,0.012392202427783,4.2788633326739
56.234132519035,0.017782794100389,1.7826846259681e-05,0.0062987509280407,2.2255346052556,3.5653692519364e-05,0.012597501856082,4.4510692105114,1.7826846259682e-05,0.0062987509280408,2.2255346052557,3.5653692519364e-05,0.012597501856082,4.4510692105115
57.543993733716,0.017378008287494,1.7115814925816e-05,0.0061883874688834,2.2374709957439,3.4231629851638e-05,0.012376774937769,4.4749419914885,1.7115814925816e-05,0.0061883874688834,2.2374709957438,3.4231629851636e-05,0.012376774937768,4.4749419914882
58.884365535559,0.016982436524617,1.6478031550444e-05,0.0060965655308194,2.2556159792383,3.2956063100889e-05,0.012193131061639,4.5112319584765,1.6478031550445e-05,0.0060965655308194,2.2556159792383,3.2956063100889e-05,0.012193131061639,4.5112319584766
60.255958607436,0.016595869074376,1.58480844865e-05,0.006000075207037,2.2716248465717,3.1696168972999e-05,0.012000150414074,4.5432496931433,1.58480844865e-05,0.006000075207037,2.2716248465717,3.1696168973e-05,0.012000150414074,4.5432496931433
61.659500186148,0.016218100973589,1.5147756646564e-05,0.0058685152255551,2.2735690674291,3.0295513293128e-05,0.01173703045111,4.5471381348582,1.5147756646564e-05,0.0058685152255552,2.2735690674291,3.0295513293128e-05,0.01173703045111,4.5471381348583
63.095734448019,0.015848931924611,1.4389806564779e-05,0.0057047270807018,2.2615947558981,2.8779613129558e-05,0.011409454161404,4.5231895117962,1.4389806564779e-05,0.0057047270807018,2.2615947558981,2.8779613129558e-05,0.011409454161404,4.5231895117962
64.565422903466,0.015488166189125,1.3587297473825e-05,0.0055120481161493,2.2361087253205,2.717459494765e-05,0.011024096232298,4.4722174506409,1.3587297473825e-05,0.0055120481161493,2.2361087253205,2.717459494765e-05,0.011024096232299,4.4722174506409
66.06934480076,0.015135612484362,1.3903868917938e-05,0.0057718572420695,2.3960479072016,2.7807737835875e-05,0.011543714484139,4.792095814403,1.3903868917938e-05,0.0057718572420697,2.3960479072016,2.7807737835875e-05,0.011543714484139,4.792095814403
67.608297539198,0.014791083881682,1.3981293995175e-05,0.0059391908933167,2.5229416160928,2.796258799035e-05,0.011878381786633,5.0458832321854,1.3981293995176e-05,0.0059391908933168,2.5229416160928,2.7962587990349e-05,0.011878381786633,5.0458832321854
69.183097091894,0.014454397707459,1.374409760999e-05,0.0059744254609208,2.5970245992836,2.7488195219978e-05,0.011948850921841,5.1940491985671,1.374409760999e-05,0.0059744254609209,2.5970245992837,2.7488195219978e-05,0.011948850921841,5.1940491985671
70.794578438414,0.014125375446228,1.320045062528e-05,0.0058717650994972,2.6118521528079,2.640090125056e-05,0.011743530198994,5.2237043056156,1.3200450625281e-05,0.0058717650994973,2.611852152808,2.640090125056e-05,0.011743530198994,5.2237043056156
72.443596007499,0.013803842646029,1.2977307271866e-05,0.0059069664483423,2.6887128347099,2.5954614543733e-05,0.011813932896685,5.3774256694199,1.2977307271866e-05,0.0059069664483422,2.6887128347099,2.5954614543731e-05,0.011813932896684,5.3774256694196
74.131024130092,0.013489628825917,1.3255836660502e-05,0.006174290515951,2.8758549423705,2.6511673321005e-05,0.012348581031902,5.7517098847411,1.3255836660502e-05,0.006174290515951,2.8758549423705,2.6511673321004e-05,0.012348581031901,5.7517098847408
75.857757502918,0.013182567385564,1.3157798867659e-05,0.006271380620942,2.989118110735,2.6315597735317e-05,0.012542761241884,5.97823622147,1.3157798867659e-05,0.006271380620942,2.989118110735,2.6315597735316e-05,0.012542761241883,5.9782362214697
77.624711662869,0.012882495516931,1.2683470998156e-05,0.0061861156716322,3.0171572993211,2.5366941996312e-05,0.012372231343264,6.0343145986421,1.2683470998156e-05,0.0061861156716322,3.0171572993211,2.5366941996311e-05,0.012372231343264,6.0343145986418
79.432823472428,0.012589254117942,1.2536278834301e-05,0.0062567465018851,3.1226871471414,2.5072557668604e-05,0.012513493003771,6.2453742942834,1.2536278834301e-05,0.0062567465018855,3.1226871471416,2.5072557668602e-05,0.012513493003771,6.2453742942831
81.28305161641,0.012302687708124,1.2516174979973e-05,0.0063922174790952,3.2646111424161,2.5032349959949e-05,0.012784434958192,6.5292222848328,1.2516174979974e-05,0.0063922174790956,3.2646111424163,2.5032349959948e-05,0.012784434958191,6.5292222848324
83.176377110267,0.012022644346174,1.2053973583232e-05,0.0062995590555448,3.2922292404473,2.4107947166467e-05,0.012599118111091,6.5844584808951,1.2053973583233e-05,0.0062995590555452,3.2922292404475,2.4107947166466e-05,0.01259911811109,6.5844584808947
85.113803820238,0.011748975549395,1.1621802183651e-05,0.0062151754821591,3.3237879688204,2.3243604367302e-05,0.012430350964318,6.6475759376406,1.1621802183652e-05,0.0062151754821595,3.3237879688206,2.3243604367303e-05,0.012430350964318,6.6475759376408
87.096358995608,0.011481536214969,1.1310286010038e-05,0.0061894705885799,3.3871421229221,2.2620572020075e-05,0.012378941177159,6.7742842458441,1.1310286010038e-05,0.0061894705885803,3.3871421229224,2.2620572020075e-05,0.01237894117716,6.7742842458443
89.125093813375,0.01122018454302,1.0552420158765e-05,0.0059092449284997,3.3091153592852,2.1104840317529e-05,0.011818489856999,6.6182307185702,1.0552420158766e-05,0.0059092449285002,3.3091153592854,2.110484031753e-05,0.011818489856999,6.6182307185703
91.201083935591,0.010964781961432,9.9040552250379e-06,0.0056753541795973,3.2521673528682,1.980811045007e-05,0.011350708359191,6.5043347057344,9.9040552250372e-06,0.0056753541795969,3.252167352868,1.9808110450068e-05,0.01135070835919,6.504334705734
93.325430079699,0.010715193052376,9.0826176905414e-06,0.0053258747684352,3.122991962834,1.8165235381077e-05,0.010651749536867,6.2459839256661,9.0826176905407e-06,0.0053258747684348,3.1229919628338,1.8165235381076e-05,0.010651749536866,6.2459839256655
95.499258602144,0.010471285480509,8.4886605686409e-06,0.0050935325316948,3.0563212466378,1.6977321137281e-05,0.010187065063389,6.1126424932752,8.4886605686403e-06,0.0050935325316945,3.0563212466376,1.6977321137281e-05,0.010187065063389,6.1126424932752
97.723722095581,0.010232929922808,8.083855275399e-06,0.0049636190881367,3.0477431389813,1.6167710550797e-05,0.0099272381762728,6.0954862779623,8.0838552753985e-06,0.0049636190881364,3.0477431389811,1.6167710550797e-05,0.0099272381762727,6.0954862779622
100,0.01,7.5278844380244e-06,0.0047299098110613,2.9718903106123,1.5055768876048e-05,0.0094598196221219,5.9437806212242,7.5278844380239e-06,0.004729909811061,2.9718903106121,1.5055768876048e-05,0.0094598196221217,5.9437806212241

Input Parameters

regularize_dtdt for response spectra calculation. The acceleration response will be regularized to this dt prior to the response spectrum calculation.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:dt for response spectra calculation. The acceleration response will be regularized to this dt prior to the response spectrum calculation.
vectorpostprocessorName of the ResponseHistoryBuilder vectorpostprocessor, for which response spectra are calculated.
C++ Type:VectorPostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:Name of the ResponseHistoryBuilder vectorpostprocessor, for which response spectra are calculated.

Required Parameters

damping_ratio0.05Damping ratio for response spectra calculation.
Default:0.05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Damping ratio for response spectra calculation.
end_frequency100End frequency for the response spectra calculation.
Default:100
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:End frequency for the response spectra calculation.
num_frequencies401Number of frequencies for the response spectra calculation.
Default:401
C++ Type:unsigned int
Controllable:No
Description:Number of frequencies for the response spectra calculation.
parallel_typeREPLICATEDSet how the data is represented within the VectorPostprocessor (VPP); 'distributed' indicates that data within the VPP is distributed and no auto communication is performed, this setting will result in parallel output within the CSV output; 'replicated' indicates that the data within the VPP is correct on processor 0, the data will automatically be broadcast to all processors unless the '_auto_broadcast' param is set to false within the validParams function.
Default:REPLICATED
C++ Type:MooseEnum
Options:DISTRIBUTED, REPLICATED
Controllable:No
Description:Set how the data is represented within the VectorPostprocessor (VPP); 'distributed' indicates that data within the VPP is distributed and no auto communication is performed, this setting will result in parallel output within the CSV output; 'replicated' indicates that the data within the VPP is correct on processor 0, the data will automatically be broadcast to all processors unless the '_auto_broadcast' param is set to false within the validParams function.
start_frequency0.01Start frequency for the response spectra calculation.
Default:0.01
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Start frequency for the response spectra calculation.

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup

Execution Scheduling Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval Parameters

Input Files

(examples/ex05b/beam_constraint.i)
(examples/ex14/building_basemat_with_isolators_new.i)
(examples/ex03b/shear_beam_Isoil_free_field_explicit.i)
(examples/ex03a/shear_beam_Isoil_free_field.i)
(examples/ex13/site_response/sr_input.i)
(tutorial/site_response_1.i)
(examples/ex09/Structure_Response.i)
(examples/ex13/fixed_base/fixed_base.i)
(examples/ex14/basemat_with_isolators_new.i)
(examples/ex03a/shear_beam_Isoil_free_field_AD.i)
(examples/ex05a/StickModel_accel_base.i)
(examples/ex15/TankUQ_mod.i)
(examples/ex09/SSI_Response.i)
(examples/ex11a/dynamic/3d_beam_dynamic_first_order.i)
(examples/ex11a/dynamic/3d_beam_dynamic_second_order.i)
(examples/ex09/Soil_Response.i)
(examples/ex14/basemat_with_isolators_new_3D.i)
(test/tests/vectorpostprocessors/response_spectra_calculator/response_spectra_calculator.i)

(test/tests/vectorpostprocessors/response_spectra_calculator/response_spectra_calculator.i)

#@requirement F8.2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 4
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  zmin = 0.0
  zmax = 4.0
[]

[Controls]
   [./period0]
      type = TimePeriod
      disable_objects = 'Kernels/inertia_x Kernels/inertia_y Kernels/inertia_z AuxKernels/accel_x AuxKernels/accel_y AuxKernels/accel_z AuxKernels/vel_x AuxKernels/vel_y AuxKernels/vel_z'
      start_time = 0.0
      end_time = 0.005 # same as dt used in the analysis
   [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./layer_id]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.000781
    static_initialization = True
    use_displaced_mesh = True
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    use_displaced_mesh = True
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zx
    index_i = 2
    index_j = 0
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '20'
     direction = '0 0 1'
     execute_on = initial
  [../]
[]

[Materials]
   [./elasticity_tensor]
      type = ComputeIsotropicElasticityTensorSoil
      block = 0
      layer_variable = layer_id
      layer_ids = '0'
      poissons_ratio = '0.3'
      density = '2000.0'
      shear_modulus = '325e7'
   [../]
   [./stress1]
     #Computes the stress, using linear elasticity
     type = ComputeLinearElasticStress
     block = 0
    [../]
    [./strain1]
      #Computes the strain, assuming small strains
      type = ComputeSmallStrain
      block = 0
      displacements = 'disp_x disp_y disp_z'
  [../]
[]

[BCs]
  [./bottom_accel_x]
    type = PresetAcceleration
    boundary = back
    function = accel_bottom_x
    variable = disp_x
    beta = 0.25
    acceleration = accel_x
    velocity = vel_x
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./bottom_accel_y]
    type = PresetAcceleration
    boundary = back
    function = accel_bottom_y
    variable = disp_y
    beta = 0.25
    acceleration = accel_y
    velocity = vel_y
  [../]
  [./Periodic]
    [./x_dir]
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
    [./y_dir]
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom_x]
    type = PiecewiseLinear
    data_file = 'accel.csv'
    format = columns
    scale_factor = 1.0
  [../]
  [./accel_bottom_y]
    type = PiecewiseLinear
    data_file = 'accel.csv'
    format = columns
    scale_factor = 2.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_tol = 1e-8
  start_time = 32
  end_time = 33
  dt = 0.005 # should be 0.005
  timestep_tolerance = 1e-6
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'
  line_search = 'none'
[]

[Outputs]
  [./out]
    type = CSV
    execute_on = 'final'
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y'
    nodes = '8 9'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

(test/tests/vectorpostprocessors/response_spectra_calculator/response_spectra_calculator.i)

#@requirement F8.2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 4
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  zmin = 0.0
  zmax = 4.0
[]

[Controls]
   [./period0]
      type = TimePeriod
      disable_objects = 'Kernels/inertia_x Kernels/inertia_y Kernels/inertia_z AuxKernels/accel_x AuxKernels/accel_y AuxKernels/accel_z AuxKernels/vel_x AuxKernels/vel_y AuxKernels/vel_z'
      start_time = 0.0
      end_time = 0.005 # same as dt used in the analysis
   [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./layer_id]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.000781
    static_initialization = True
    use_displaced_mesh = True
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    use_displaced_mesh = True
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zx
    index_i = 2
    index_j = 0
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '20'
     direction = '0 0 1'
     execute_on = initial
  [../]
[]

[Materials]
   [./elasticity_tensor]
      type = ComputeIsotropicElasticityTensorSoil
      block = 0
      layer_variable = layer_id
      layer_ids = '0'
      poissons_ratio = '0.3'
      density = '2000.0'
      shear_modulus = '325e7'
   [../]
   [./stress1]
     #Computes the stress, using linear elasticity
     type = ComputeLinearElasticStress
     block = 0
    [../]
    [./strain1]
      #Computes the strain, assuming small strains
      type = ComputeSmallStrain
      block = 0
      displacements = 'disp_x disp_y disp_z'
  [../]
[]

[BCs]
  [./bottom_accel_x]
    type = PresetAcceleration
    boundary = back
    function = accel_bottom_x
    variable = disp_x
    beta = 0.25
    acceleration = accel_x
    velocity = vel_x
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./bottom_accel_y]
    type = PresetAcceleration
    boundary = back
    function = accel_bottom_y
    variable = disp_y
    beta = 0.25
    acceleration = accel_y
    velocity = vel_y
  [../]
  [./Periodic]
    [./x_dir]
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
    [./y_dir]
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom_x]
    type = PiecewiseLinear
    data_file = 'accel.csv'
    format = columns
    scale_factor = 1.0
  [../]
  [./accel_bottom_y]
    type = PiecewiseLinear
    data_file = 'accel.csv'
    format = columns
    scale_factor = 2.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_tol = 1e-8
  start_time = 32
  end_time = 33
  dt = 0.005 # should be 0.005
  timestep_tolerance = 1e-6
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'
  line_search = 'none'
[]

[Outputs]
  [./out]
    type = CSV
    execute_on = 'final'
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y'
    nodes = '8 9'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

(test/tests/vectorpostprocessors/response_spectra_calculator/gold/response_spectra_calculator_out_accel_spec.csv)

frequency,period,node_8_accel_x_sd,node_8_accel_x_sv,node_8_accel_x_sa,node_8_accel_y_sd,node_8_accel_y_sv,node_8_accel_y_sa,node_9_accel_x_sd,node_9_accel_x_sv,node_9_accel_x_sa,node_9_accel_y_sd,node_9_accel_y_sv,node_9_accel_y_sa
0.01,100,0.11063001712871,0.0069510897480287,0.00043674989789557,0.22126003425737,0.013902179496054,0.00087349979579096,0.1106300171287,0.0069510897480284,0.00043674989789555,0.22126003425736,0.013902179496054,0.00087349979579093
0.010232929922808,97.723722095581,0.11062233946429,0.0071125077893519,0.00045730154775764,0.22124467892862,0.014225015578706,0.00091460309551542,0.1106223394643,0.0071125077893527,0.00045730154775769,0.22124467892863,0.014225015578707,0.0009146030955155
0.010471285480509,95.499258602144,0.1106145011866,0.0072776636743126,0.00047881957598907,0.22122900237319,0.014555327348625,0.00095763915197815,0.11061450118659,0.007277663674312,0.00047881957598904,0.2212290023732,0.014555327348626,0.00095763915197819
0.010715193052376,93.325430079699,0.11060644066131,0.0074466395587944,0.00050134911120052,0.22121288132257,0.014893279117585,0.0010026982224008,0.11060644066132,0.0074466395587948,0.00050134911120054,0.2212128813226,0.014893279117587,0.0010026982224009
0.010964781961432,91.201083935591,0.11059815084876,0.0076195229601614,0.00052493762051968,0.22119630169752,0.015239045920322,0.0010498752410393,0.11059815084878,0.0076195229601625,0.00052493762051975,0.22119630169754,0.015239045920324,0.0010498752410394
0.01122018454302,89.125093813375,0.11058962445808,0.0077964033518468,0.00054963479189433,0.22117924891623,0.015592806703699,0.001099269583789,0.11058962445809,0.0077964033518477,0.0005496347918944,0.22117924891621,0.015592806703698,0.0010992695837889
0.011481536214969,87.096358995608,0.11058085393723,0.0079773722040607,0.00057549263743472,0.22116170787446,0.015954744408121,0.0011509852748694,0.11058085393724,0.0079773722040615,0.00057549263743477,0.22116170787446,0.015954744408121,0.0011509852748694
0.011748975549395,85.113803820238,0.11057183146239,0.0081625230251272,0.00060256560151483,0.22114366292479,0.016325046050255,0.0012051312030297,0.11057183146238,0.0081625230251267,0.00060256560151479,0.22114366292478,0.016325046050254,0.0012051312030296
0.012022644346174,83.176377110267,0.11056254892743,0.008351951403512,0.00063091067385224,0.22112509785485,0.016703902807023,0.0012618213477044,0.11056254892742,0.0083519514035113,0.00063091067385219,0.22112509785484,0.016703902807023,0.0012618213477044
0.012302687708124,81.28305161641,0.11055299793307,0.0085457550505012,0.00066058750778862,0.22110599586616,0.017091510101004,0.0013211750155774,0.11055299793307,0.0085457550505011,0.00066058750778862,0.22110599586616,0.017091510101004,0.0013211750155774
0.012589254117942,79.432823472428,0.11054316977398,0.0087440338433972,0.0006916585439951,0.22108633954798,0.017488067686796,0.0013833170879903,0.110543169774,0.0087440338433985,0.00069165854399521,0.22108633954794,0.017488067686792,0.00138331708799
0.012882495516931,77.624711662869,0.11053305542808,0.0089468898695455,0.00072418913987103,0.2210661108562,0.017893779739095,0.0014483782797424,0.1105330554281,0.0089468898695472,0.00072418913987117,0.2210661108562,0.017893779739094,0.0014483782797423
0.013182567385564,75.857757502918,0.11052264554264,0.0091544274707799,0.00075824770486007,0.2210452910853,0.018308854941561,0.0015164954097203,0.11052264554265,0.0091544274707804,0.00075824770486012,0.2210452910853,0.018308854941561,0.0015164954097203
0.013489628825917,74.131024130092,0.11051193042151,0.0093667532885941,0.00079390584197336,0.22102386084302,0.018733506577189,0.0015878116839468,0.1105119304215,0.0093667532885935,0.00079390584197332,0.22102386084302,0.018733506577188,0.0015878116839467
0.013803842646029,72.443596007499,0.1105009000108,0.0095839763098367,0.0008312384957818,0.22100180002161,0.019167952619675,0.0016624769915637,0.11050090001081,0.0095839763098373,0.00083123849578185,0.22100180002159,0.019167952619673,0.0016624769915635
0.014125375446228,70.794578438414,0.11048954388528,0.0098062079130863,0.00087032410717995,0.22097908777058,0.019612415826174,0.00174064821436,0.11048954388528,0.0098062079130863,0.00087032410717995,0.22097908777055,0.019612415826172,0.0017406482143598
0.014454397707459,69.183097091894,0.11047785123239,0.010033561915441,0.00091124477520127,0.22095570246479,0.020067123830882,0.0018224895504026,0.1104778512324,0.010033561915441,0.00091124477520134,0.2209557024648,0.020067123830883,0.0018224895504027
0.014791083881682,67.608297539198,0.11046581083679,0.010266154619941,0.00095408642621784,0.22093162167359,0.020532309239882,0.0019081728524358,0.11046581083679,0.010266154619941,0.00095408642621789,0.22093162167359,0.020532309239882,0.0019081728524358
0.015135612484362,66.06934480076,0.11045341106456,0.010504104863548,0.00099893899084675,0.22090682212914,0.021008209727098,0.0019978779816937,0.11045341106456,0.010504104863548,0.00099893899084675,0.22090682212913,0.021008209727097,0.0019978779816936
0.015488166189125,64.565422903466,0.11044063984526,0.010747534065475,0.001045896588886,0.22088127969055,0.021495068130952,0.0020917931777722,0.11044063984529,0.010747534065477,0.0010458965888862,0.22088127969053,0.02149506813095,0.002091793177772
0.015848931924611,63.095734448019,0.11042748465492,0.010996566276134,0.0010950577226611,0.22085496930986,0.021993132552271,0.0021901154453224,0.11042748465493,0.010996566276135,0.0010950577226612,0.22085496930983,0.021993132552267,0.0021901154453221
0.016218100973589,61.659500186148,0.11041393249643,0.011251328226341,0.0011465254791188,0.22082786499284,0.022502656452681,0.0022930509582375,0.11041393249642,0.011251328226341,0.0011465254791188,0.22082786499285,0.022502656452682,0.0022930509582376
0.016595869074376,60.255958607436,0.1103999698813,0.011511949377119,0.0012004077410876,0.22079993976259,0.023023898754238,0.0024008154821753,0.11039996988129,0.011511949377118,0.0012004077410876,0.22079993976258,0.023023898754237,0.0024008154821751
0.016982436524617,58.884365535559,0.11038558280789,0.011778561969586,0.0012568174080562,0.22077116561577,0.023557123939172,0.0025136348161124,0.11038558280788,0.011778561969586,0.0012568174080562,0.22077116561576,0.023557123939171,0.0025136348161123
0.017378008287494,57.543993733716,0.11037075674215,0.0120513010755,0.0013158726269463,0.22074151348431,0.024102602151,0.0026317452538927,0.11037075674215,0.0120513010755,0.0013158726269463,0.22074151348432,0.024102602151002,0.0026317452538928
0.017782794100389,56.234132519035,0.11035547659466,0.012330304647772,0.0013776970332456,0.22071095318928,0.02466060929554,0.0027553940664908,0.11035547659466,0.012330304647772,0.0013776970332456,0.2207109531893,0.024660609295542,0.002755394066491
0.0181970085861,54.954087385762,0.11033972669661,0.012615713571172,0.0014424200029739,0.2206794533933,0.025231427142354,0.0028848400059489,0.11033972669662,0.012615713571174,0.0014424200029741,0.22067945339321,0.025231427142344,0.0028848400059478
0.018620871366629,53.703179637025,0.11032349077812,0.012907671713545,0.0015101769159907,0.22064698155625,0.025815343427089,0.0030203538319815,0.11032349077812,0.012907671713544,0.0015101769159907,0.22064698155627,0.025815343427092,0.0030203538319818
0.019054607179632,52.480746024977,0.11030675194124,0.013206325976631,0.0015811094310343,0.22061350388251,0.026412651953268,0.0031622188620692,0.11030675194126,0.013206325976635,0.0015811094310347,0.22061350388248,0.026412651953263,0.0031622188620686
0.01949844599758,51.286138399136,0.11028949263442,0.013511826347202,0.0016553657730761,0.22057898526887,0.027023652694407,0.0033107315461525,0.11028949263444,0.013511826347204,0.0016553657730762,0.22057898526887,0.027023652694407,0.0033107315461524
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2.8840315031266,0.34673685045253,0.011172456710687,0.20245504191025,3.6686688573762,0.022344913421373,0.40491008382048,7.3373377147519,0.011172456710687,0.20245504191024,3.668668857376,0.022344913421374,0.40491008382049,7.3373377147521
2.9512092266664,0.3388441561392,0.010358002757246,0.1920684088338,3.5615238320092,0.020716005514491,0.3841368176676,7.1230476640183,0.010358002757246,0.1920684088338,3.5615238320091,0.020716005514491,0.38413681766759,7.1230476640183
3.019951720402,0.33113112148259,0.0095704566665556,0.18159863401444,3.4458192565831,0.019140913333111,0.36319726802889,6.8916385131662,0.0095704566665556,0.18159863401444,3.4458192565831,0.019140913333111,0.36319726802889,6.8916385131663
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3.1622776601684,0.31622776601684,0.0080767569979722,0.16047852829077,3.1885765597304,0.016153513995944,0.32095705658154,6.3771531194606,0.0080767569979721,0.16047852829077,3.1885765597303,0.016153513995944,0.32095705658154,6.3771531194607
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3.630780547701,0.27542287033382,0.0055755973493236,0.12719537475028,2.9016914859942,0.011151194698647,0.25439074950056,5.8033829719883,0.0055755973493237,0.12719537475028,2.9016914859942,0.011151194698647,0.25439074950056,5.8033829719883
3.7153522909717,0.26915348039269,0.0053023491672596,0.12377936189504,2.8895363069917,0.010604698334519,0.24755872379008,5.7790726139833,0.0053023491672597,0.12377936189504,2.8895363069918,0.010604698334519,0.24755872379008,5.7790726139834
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4.0738027780411,0.2454708915685,0.0043133637222874,0.11040684449228,2.8260244430018,0.0086267274445748,0.22081368898455,5.6520488860037,0.0043133637222875,0.11040684449228,2.8260244430019,0.0086267274445748,0.22081368898455,5.6520488860037
4.1686938347034,0.23988329190195,0.0040958917985066,0.10728237803411,2.8100128623637,0.0081917835970132,0.21456475606822,5.6200257247274,0.0040958917985066,0.10728237803411,2.8100128623637,0.0081917835970133,0.21456475606822,5.6200257247275
4.2657951880159,0.23442288153199,0.0038835498766195,0.10408995084274,2.7899005319006,0.0077670997532391,0.20817990168547,5.5798010638011,0.0038835498766195,0.10408995084274,2.7899005319005,0.0077670997532391,0.20817990168547,5.5798010638011
4.3651583224017,0.22908676527678,0.0036840648214167,0.1010432203757,2.771322677207,0.0073681296428334,0.2020864407514,5.5426453544139,0.0036840648214167,0.1010432203757,2.771322677207,0.0073681296428334,0.2020864407514,5.5426453544139
4.4668359215096,0.22387211385683,0.0034919084686701,0.098003766640004,2.7505698851512,0.0069838169373402,0.19600753328001,5.5011397703023,0.0034919084686701,0.098003766640004,2.7505698851512,0.0069838169373402,0.19600753328001,5.5011397703023
4.5708818961488,0.21877616239496,0.0033090597428482,0.095035206860849,2.7293827385874,0.0066181194856963,0.1900704137217,5.4587654771748,0.0033090597428482,0.095035206860849,2.7293827385874,0.0066181194856963,0.1900704137217,5.4587654771748
4.677351412872,0.21379620895022,0.0031348699787798,0.092129655896169,2.7075679543336,0.0062697399575595,0.18425931179234,5.4151359086671,0.0031348699787798,0.09212965589617,2.7075679543336,0.0062697399575595,0.18425931179234,5.4151359086671
4.7863009232264,0.2089296130854,0.0029677921451959,0.089251062988291,2.6840667589994,0.0059355842903917,0.17850212597658,5.3681335179988,0.0029677921451959,0.089251062988291,2.6840667589994,0.0059355842903917,0.17850212597658,5.3681335179989
4.8977881936845,0.20417379446695,0.0028114342028101,0.086518272676157,2.6624885972377,0.0056228684056202,0.17303654535231,5.3249771944754,0.0028114342028101,0.086518272676157,2.6624885972377,0.0056228684056201,0.17303654535231,5.3249771944753
5.0118723362727,0.19952623149689,0.0026592387148005,0.083740826146727,2.6370426711625,0.005318477429601,0.16748165229345,5.274085342325,0.0026592387148005,0.083740826146727,2.6370426711625,0.005318477429601,0.16748165229345,5.2740853423251
5.1286138399136,0.1949844599758,0.0025197487857265,0.081196472251984,2.6164779376078,0.0050394975714529,0.16239294450397,5.2329558752155,0.0025197487857265,0.081196472251984,2.6164779376077,0.0050394975714529,0.16239294450397,5.2329558752155
5.2480746024977,0.19054607179632,0.0023823472842451,0.078557017535931,2.5903884983319,0.0047646945684902,0.15711403507186,5.1807769966638,0.0023823472842451,0.078557017535932,2.5903884983319,0.0047646945684902,0.15711403507186,5.1807769966637
5.3703179637025,0.18620871366629,0.0022560736971523,0.076126032932702,2.5686983973022,0.0045121473943046,0.1522520658654,5.1373967946043,0.0022560736971523,0.076126032932702,2.5686983973022,0.0045121473943046,0.1522520658654,5.1373967946043
5.4954087385762,0.181970085861,0.002133226084756,0.073657470716434,2.543294886141,0.0042664521695119,0.14731494143287,5.0865897722819,0.002133226084756,0.073657470716434,2.543294886141,0.004266452169512,0.14731494143287,5.086589772282
5.6234132519035,0.17782794100389,0.0020192535438551,0.071346187362778,2.5208713718468,0.0040385070877102,0.14269237472556,5.0417427436937,0.0020192535438551,0.071346187362777,2.5208713718468,0.0040385070877102,0.14269237472556,5.0417427436937
5.7543993733716,0.17378008287494,0.001910862244544,0.069089061900655,2.4979814677596,0.003821724489088,0.13817812380131,4.9959629355193,0.001910862244544,0.069089061900655,2.4979814677596,0.003821724489088,0.13817812380131,4.9959629355193
5.8884365535559,0.16982436524617,0.0018083730263968,0.066906442227906,2.4754140579699,0.0036167460527936,0.13381288445581,4.9508281159398,0.0018083730263968,0.066906442227907,2.4754140579699,0.0036167460527936,0.13381288445581,4.9508281159398
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(examples/ex05b/beam_constraint.i)

[Mesh]
  [./beam]
    type = BeamMeshGenerator
    mesh_file = stick_model.txt
  [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./rot_x]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_y]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_z]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./vel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_x]
  [../]
  [./accel_y]
  [../]
  [./accel_z]
  [../]
  [./rot_vel_x]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_vel_y]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_vel_z]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_accel_x]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_accel_y]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
  [./rot_accel_z]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
#    add_variables = true
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'

    # dynamic simulation using consistent mass/inertia matrix
    dynamic_nodal_translational_inertia = true

    velocities = 'vel_x vel_y vel_z'
    accelerations = 'accel_x accel_y accel_z'
    rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
    rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

    beta = 0.25 # Newmark time integration parameter
    gamma = 0.5 # Newmark time integration parameter

    # parameters for 5% Rayleigh damping
    zeta = 0.0005438894818 # stiffness proportional damping
    eta = 3.26645357034 # Mass proportional Rayleigh damping
  [./block_1]
    block = 1
    area = 1400
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 142.860001
    boundary = 1
  [../]
  [./block_2]
    block = 2
    area = 1400
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 130.429993
    boundary = '2 3 4 5 6'
  [../]
  [./block_3]
    block = 3
    area = 1400
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 143.169998
    boundary = 7
  [../]
  [./block_4]
    block = 4
    area = 990
    Iy = 1.9e6
    Iz = 1.9e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 93.79000092
    boundary = 8
  [../]
  [./block_5]
    block = 5
    area = 990
    Iy = 1.5e6
    Iz = 1.5e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 76.70999908
    boundary = 9
  [../]
  [./block_6]
    block = 6
    area = 990
    Iy = 8e5
    Iz = 8e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 65.83999634
    boundary = 10
  [../]
  [./block_7]
    block = 7
    area = 990
    Iy = 2e5
    Iz = 2e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 5.90000010
    boundary = 11
  [../]
  # right
  [./block_8]
    block = 8
    area = 2000
    Iy = 1.1e6
    Iz = 1.1e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 86.95999908
    boundary = 12
  [../]
  [./block_9]
    block = 9
    area = 2560
    Iy = 1.2e6
    Iz = 1.2e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 77.94999695
    boundary = 13
  [../]
  [./block_10]
    block = 10
    area = 2210
    Iy = 1.2e6
    Iz = 1.2e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 195.339996
    boundary = 14
  [../]
  [./block_11]
    block = 11
    area = 1960
    Iy = 1.3e6
    Iz = 1.3e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 116.769997
    boundary = 15
  [../]
  [./block_12]
    block = 12
    area = 1740
    Iy = 9e5
    Iz = 9e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 265.220001
    boundary = 16
  [../]
  [./block_13]
    block = 13
    area = 780
    Iy = 2e5
    Iz = 2e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 37.88999939
    boundary = 17
  [../]
  [./block_14]
    block = 14
    area = 190
    Iy = 4000.0
    Iz = 4000.0
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 25.46999931
    boundary = 18
  [../]
[]

[Materials]
  [./elasticity_beam_outer_1]
    type = ComputeElasticityBeam
    youngs_modulus = 6.9e5
    poissons_ratio = 0.278
    shear_coefficient = 0.5
    block = '1 2 3'
  [../]
  [./elasticity_beam_outer_2]
    type = ComputeElasticityBeam
    youngs_modulus = 6.9e5
    poissons_ratio = 0.278
    shear_coefficient = 0.505
    block = '4 5 6 7'
  [../]
  [./elasticity_beam_inner_1]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.66
    block = '8'
  [../]
  [./elasticity_beam_inner_2]
     type = ComputeElasticityBeam
     youngs_modulus = 3.45e5
     poissons_ratio = 0.278
     shear_coefficient = 0.609375
     block = '9'
  [../]
  [./elasticity_beam_inner_3]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.6606
    block = '10'
  [../]
  [./elasticity_beam_inner_4]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.372
    block = '11'
  [../]
  [./elasticity_beam_inner_5]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.345
    block = '12'
  [../]
  [./elasticity_beam_inner_6]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.462
    block = '13'
  [../]
  [./elasticity_beam_inner_7]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.368
    block = '14'
  [../]
  [./stress_beam]
    type = ComputeBeamResultants
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14'
  [../]
[]

[BCs]
  [./disp_x]
    type = PresetAcceleration
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    function = accel_x
    boundary = '0'
  [../]
  [./disp_y]
    type = PresetAcceleration
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    function = accel_y
    boundary = '0'
  [../]
  [./disp_z]
    type = PresetAcceleration
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    function = accel_z
    boundary = '0'
  [../]
  [./rot_x]
   type = DirichletBC
    boundary = '0'
    variable = rot_x
    value = 0.0
  [../]
  [./rot_y]
    type = DirichletBC
    boundary = '0'
    variable = rot_y
    value = 0.0
  [../]
  [./rot_z]
    type = DirichletBC
    boundary = '0'
    variable = rot_z
    value = 0.0
  [../]
[]

[Functions]
  [./accel_x]
    type = PiecewiseLinear
    data_file = 'accel_x.csv'
    format = 'columns'
    scale_factor = 32.2000008
  [../]
  [./accel_y]
    type = PiecewiseLinear
    data_file = 'accel_y.csv'
    format = 'columns'
    scale_factor = 32.2000008
  [../]
  [./accel_z]
    type = PiecewiseLinear
    data_file = 'accel_z.csv'
    format = 'columns'
    scale_factor = 32.2000008
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  end_time = 45.0
  dt = 0.005
  dtmin = 0.005
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_tol = 1e-8
  l_max_its = 20
  timestep_tolerance = 1e-8
[]

[Postprocessors]
  [./accel_x_11]
    type = PointValue
    variable = accel_x
    point = '0.0 0.0 217.0'
  [../]
  [./accel_y_11]
    type = PointValue
    variable = accel_y
    point = '0.0 0.0 217.0'
  [../]
  [./accel_z_11]
    type = PointValue
    variable = accel_z
    point = '0.0 0.0 217.0'
  [../]
  [./accel_x_14]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 14
  [../]
  [./accel_y_14]
    type = NodalVariableValue
    variable = accel_y
    nodeid = 14
  [../]
  [./accel_z_14]
    type = NodalVariableValue
    variable = accel_z
    nodeid = 14
  [../]
  [./accel_x_17]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 17
  [../]
  [./accel_y_17]
    type = NodalVariableValue
    variable = accel_y
    nodeid = 17
  [../]
  [./accel_z_17]
    type = NodalVariableValue
    variable = accel_z
    nodeid = 17
  [../]
  [./accel_x_18]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 18
  [../]
  [./accel_y_18]
    type = NodalVariableValue
    variable = accel_y
    nodeid = 18
  [../]
  [./accel_z_18]
    type = NodalVariableValue
    variable = accel_z
    nodeid = 18
  [../]
  [./accel_x_0]
    type = PointValue
    variable = accel_x
    point = '0.0 0.0 10.0'
  [../]
  [./accel_y_0]
    type = PointValue
    variable = accel_y
    point = '0.0 0.0 10.0'
  [../]
  [./accel_z_0]
    type = PointValue
    variable = accel_z
    point = '0.0 0.0 10.0'
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y accel_z'
    nodes = '0 11 14 17 18'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

[Outputs]
  [./out]
    type = CSV
    execute_on = 'final'
    file_base = example5bmod
  [../]
  exodus = true
  [./console]
    type = Console
    max_rows = 1
  [../]

[]

(examples/ex14/building_basemat_with_isolators_new.i)

[Mesh]
  [mesh_gen]
    type = FileMeshGenerator
    file = full_structure_with_isolators_new.e
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [rot_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_z]
    block = 'isolator_elems upper_rigid_elems'
  []
[]

[AuxVariables]
  [vel_x]
  []
  [accel_x]
  []
  [vel_y]
  []
  [accel_y]
  []
  [vel_z]
  []
  [accel_z]
  []
  [rot_vel_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_vel_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_vel_z]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_z]
    block = 'isolator_elems upper_rigid_elems'
  []
  [Fb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Fb_y]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Fb_z]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Velb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_y]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_z]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  displacements = 'disp_x disp_y disp_z'
  rotations = 'rot_x rot_y rot_z'

  velocities = 'vel_x vel_y vel_z'
  accelerations = 'accel_x accel_y accel_z'
  rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
  rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

  beta = 0.275625
  gamma = 0.55
  alpha = -0.05

  [rigid_beams]
    block = 'upper_rigid_elems'
    area = 130.06
    Iy = 24166.729
    Iz = 24166.729
    y_orientation = '0.0 0.0 1.0'
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
    hht_alpha = -0.05
    static_initialization = true
    stiffness_damping_coefficient = 0.0019
  []
  [inertia_x]
    type = InertialForce
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
    variable = disp_x
    eta = 0.038
    alpha = -0.05
  []
  [inertia_y]
    type = InertialForce
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
    variable = disp_y
    eta = 0.038
    alpha = -0.05
  []
  [inertia_z]
    type = InertialForce
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
    variable = disp_z
    eta = 0.038
    alpha = -0.05
  []
  [lr_disp_x]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 0
    variable = disp_x
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_disp_y]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 1
    variable = disp_y
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_disp_z]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 2
    variable = disp_z
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_x]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 3
    variable = rot_x
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_y]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 4
    variable = rot_y
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_z]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 5
    variable = rot_z
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
    alpha = -0.05
  []
[]

[AuxKernels]
  [Fb_x]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 0
    column = 0
    variable = Fb_x
    block = 'isolator_elems'
  []
  [Fb_y]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 1
    column = 0
    variable = Fb_y
    block = 'isolator_elems'
  []
  [Fb_z]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 2
    column = 0
    variable = Fb_z
    block = 'isolator_elems'
  []
  [Defb_x]
    type = MaterialRealCMMAux
    property = deformations
    row = 0
    column = 0
    variable = Defb_x
    block = 'isolator_elems'
  []
  [Velb_x]
    type = MaterialRealCMMAux
    property = deformation_rates
    row = 0
    column = 0
    variable = Velb_x
    block = 'isolator_elems'
  []
  [Defb_y]
    type = MaterialRealCMMAux
    property = deformations
    row = 1
    column = 0
    variable = Defb_y
    block = 'isolator_elems'
  []
  [Defb_z]
    type = MaterialRealCMMAux
    property = deformations
    row = 2
    column = 0
    variable = Defb_z
    block = 'isolator_elems'
  []
  [accel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
  []
  [vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
  []
  [accel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = accel_y
    first = false
  []
  [vel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = vel_y
  []
  [accel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = accel_z
    first = false
  []
  [vel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = vel_z
  []
  [rot_accel_x]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_x
    variable = rot_accel_x
    first = false
  []
  [rot_vel_x]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_x
    variable = rot_vel_x
  []
  [rot_accel_y]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_y
    variable = rot_accel_y
    first = false
  []
  [rot_vel_y]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_y
    variable = rot_vel_y
  []
  [rot_accel_z]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_z
    variable = rot_accel_z
    first = false
  []
  [rot_vel_z]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_z
    variable = rot_vel_z
  []
[]

[Materials]
  [elasticity_concrete]
    type = ComputeIsotropicElasticityTensor
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls RV_slab'
    youngs_modulus = 24.8 #GPa
    poissons_ratio = 0.2
  []
  [elasticity_rigid_concrete]
    type = ComputeIsotropicElasticityTensor
    block = 'upper_basemat'
    youngs_modulus = 99.2 #GPa # 4 x concrete for rigid basemat
    poissons_ratio = 0.2
  []
  [elasticity_steel_316]
    type = ComputeIsotropicElasticityTensor
    block = 'SGs RV'
    youngs_modulus = 170 #GPa
    poissons_ratio = 0.3
  []
  [elasticity_fluid]
    type = ComputeIsotropicElasticityTensor
    block = 'fluid_material'
    bulk_modulus = 2 #GPa #water
    poissons_ratio = 0.45 #water
  []
  [strain_1]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
  []
  [stress_1]
    type = ComputeFiniteStrainElasticStress
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases SGs int_wall int_slab RV_housing RV small_walls upper_basemat fluid_material RV_slab'
  []
  [concrete_density]
    type = GenericConstantMaterial
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls upper_basemat RV_slab'
    prop_names = density
    prop_values = 2.4e-6 #e9kg/m3
  []
  [steel_density]
    type = GenericConstantMaterial
    block = 'SGs RV'
    prop_names = density
    prop_values = 7.85e-6 #e9kg/m3
  []
  [fluid_density]
    type = GenericConstantMaterial
    block = 'fluid_material'
    prop_names = density
    prop_values = 1.0e-6 #e9kg/m3 #water
  []

  [isolator_deformation]
    type = ComputeIsolatorDeformation
    sd_ratio = 0.5
    y_orientation = '1.0 0.0 0.0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    velocities = 'vel_x vel_y vel_z'
    block = 'isolator_elems'
  []
  [elasticity]
    type = ComputeFPIsolatorElasticity
    mu_ref = 0.06
    p_ref = 0.006 # GPa
    block = 'isolator_elems'
    diffusivity = 4.4e-6
    conductivity = 18
    a = 100
    r_eff = 1.0 # meters. 2sec sliding period
    r_contact = 0.2
    uy = 0.001
    unit = 4
    beta = 0.275625
    gamma = 0.55
    pressure_dependent = false
    temperature_dependent = false
    velocity_dependent = false
    k_x = 78.53 # 7.853e10 N
    k_xx = 0.62282 # 622820743.6 N
    k_yy = 0.3114 # 311410371.8 N
    k_zz = 0.3114 # 311410371.8 N
  []

  [elasticity_beam_rigid]
    type = ComputeElasticityBeam
    youngs_modulus = 2e4
    poissons_ratio = 0.27
    shear_coefficient = 0.85
    block = 'upper_rigid_elems'
  []
  [stress_beam_rigid]
    type = ComputeBeamResultants
    block = 'upper_rigid_elems'
  []
[]

[Functions]
  [input_motion_x]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 1
    xy_in_file_only = false
  []
  [input_motion_y]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 2
    xy_in_file_only = false
  []
  [input_motion_z]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 3
    xy_in_file_only = false
  []
[]

[BCs]
  [x_motion]
    type = PresetAcceleration
    acceleration = accel_x
    velocity = vel_x
    variable = disp_x
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_x'
  []
  [y_motion]
    type = PresetAcceleration
    acceleration = accel_y
    velocity = vel_y
    variable = disp_y
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_y'
  []
  [z_motion]
    type = PresetAcceleration
    acceleration = accel_z
    velocity = vel_z
    variable = disp_z
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_z'
  []
  [fixrxbot]
    type = DirichletBC
    variable = rot_x
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrybot]
    type = DirichletBC
    variable = rot_y
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrzbot]
    type = DirichletBC
    variable = rot_z
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrxcon]
    type = DirichletBC
    variable = rot_x
    boundary = 'connections'
    value = 0.0
  []
  [fixrycon]
    type = DirichletBC
    variable = rot_y
    boundary = 'connections'
    value = 0.0
  []
  [fixrzcon]
    type = DirichletBC
    variable = rot_z
    boundary = 'connections'
    value = 0.0
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  solve_type = 'NEWTON'
  nl_rel_tol = 1e-7
  nl_abs_tol = 1e-15
  dt = 0.01
  end_time = 28
  timestep_tolerance = 1e-6
  automatic_scaling = true
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.275625
    gamma = 0.55
    inactive_tsteps = 2
  []
[]

[Controls]
  [inertia_switch]
    type = TimePeriod
    start_time = 0.0
    end_time = 0.03
    disable_objects = '*/inertia_x */inertia_y */inertia_z
                       */vel_x */vel_y */vel_z
                       */accel_x */accel_y */accel_z
                       */rot_vel_x */rot_vel_y */rot_vel_z
                       */rot_accel_x */rot_accel_y */rot_accel_z'
    set_sync_times = true
    execute_on = 'timestep_begin timestep_end'
  []
[]

[Postprocessors]
  [inp_accel_x]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_x
  []
  [inp_accel_y]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_y
  []
  [inp_accel_z]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_z
  []
  [basemat_accel_x]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_x
  []
  [basemat_accel_y]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_y
  []
  [basemat_accel_z]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_z
  []
  [iso1_fb_axial]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_x
  []
  [iso1_defb_axial]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_x
  []
  [iso1_fb_shear1]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_y
  []
  [iso1_defb_shear1]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_y
  []
  [iso1_fb_shear2]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_z
  []
  [iso1_defb_shear2]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_z
  []
[]

[VectorPostprocessors]
  [accel_hist_x]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '5252 2767 59044 24207 44503 41781 59152 38767 59100'
    # locations:
    # 5252-roof_edge
    # 2767-roof_center
    # 59044-RV_slab_center
    # 24207-SG_base
    # 44503-basemat_center-(0.35,-0.75,-1)(approx)
    # 41781-center_isolator_top-(5,0,-1)
    # 59152-center_isolator_bottom-(5,0,-1.3)
    # 38767-edge_isolator_top-(-45,30,-1)
    # 59100-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_x]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_x
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []

  [accel_hist_y]
    type = ResponseHistoryBuilder
    variables = 'accel_y'
    nodes = '5252 2767 59044 24207 44503 41781 59152 38767 59100'
    # locations:
    # 5252-roof_edge
    # 2767-roof_center
    # 59044-RV_slab_center
    # 24207-SG_base
    # 44503-basemat_center-(0.35,-0.75,-1)(approx)
    # 41781-center_isolator_top-(5,0,-1)
    # 59152-center_isolator_bottom-(5,0,-1.3)
    # 38767-edge_isolator_top-(-45,30,-1)
    # 59100-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_y]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_y
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []

  [accel_hist_z]
    type = ResponseHistoryBuilder
    variables = 'accel_z'
    nodes = '5252 2767 59044 24207 44503 41781 59152 38767 59100'
    # locations:
    # 5252-roof_edge
    # 2767-roof_center
    # 59044-RV_slab_center
    # 24207-SG_base
    # 44503-basemat_center-(0.35,-0.75,-1)(approx)
    # 41781-center_isolator_top-(5,0,-1)
    # 59152-center_isolator_bottom-(5,0,-1.3)
    # 38767-edge_isolator_top-(-45,30,-1)
    # 59100-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_z]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_z
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  [out1]
    type = CSV
    execute_on = 'final'
  []
[]

(examples/ex03b/shear_beam_Isoil_free_field_explicit.i)

[Mesh]
  type = GeneratedMesh
  nx = 1
  ny = 1
  nz = 20
  xmin = -0.5
  ymin = -0.5
  zmin = 0.0
  xmax = 0.5
  ymax = 0.5
  zmax = 20.0
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./strain_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_yz]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./layer_id]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    # stiffness_damping_coefficient = 0.000781
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    # eta = 0.64026
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    # eta = 0.64026
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    # eta = 0.64026
  [../]
  [./gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
  [../]
[]

[AuxKernels]
  [./strain_xy]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_xy
    index_i = 1
    index_j = 0
  [../]
  [./strain_yz]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_yz
    index_i = 2
    index_j = 1
  [../]
  [./strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zx
    index_i = 0
    index_j = 2
  [../]
  [./accel_x]
    type = TestNewmarkTI
    variable = accel_x
    displacement = disp_x
    first = false
  [../]
  [./vel_x]
    type = TestNewmarkTI
    variable = vel_x
    displacement = disp_x
  [../]
  [./accel_y]
    type = TestNewmarkTI
    variable = accel_y
    displacement = disp_y
    first = false
  [../]
  [./vel_y]
    type = TestNewmarkTI
    variable = vel_y
    displacement = disp_y
  [../]
  [./accel_z]
    type = TestNewmarkTI
    variable = accel_z
    displacement = disp_z
    first = false
  [../]
  [./vel_z]
    type = TestNewmarkTI
    variable = vel_z
    displacement = disp_z
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20.2'
     direction = '0.0 0.0 1.0'
     execute_on = initial
  [../]
[]

[BCs]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_shake]
    type = FunctionDirichletBC
    boundary = 'back'
    function = disp_bottom
    variable = 'disp_x'
  [../]
  [./Periodic]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./disp_bottom]
     type = PiecewiseLinear
     data_file = chichi_bc_mpss_xp20_disp.csv
     format = 'columns'
  [../]

  [./initial_zz]
    type = ParsedFunction
    value = '-2000.0 * 9.81 * (20.0 - z)'
  [../]
  [./initial_xx]
    type = ParsedFunction
    value = '-2000.0 * 9.81 * (20.0 - z) * 0.3/0.7'
  [../]
[]

# [Materials]
#   [./sample_isoil]
#     type = ComputeISoilStress
#     soil_type = 'gqh'
#     layer_variable = layer_id
#     layer_ids = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19'
#     initial_soil_stress = 'initial_xx 0 0 0 initial_xx 0 0 0 initial_zz'
#     poissons_ratio = '0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3'
#     number_of_points = 100
#     ### GQ/H ####
#     initial_shear_modulus = '125000000 118098000 111392000 103968000 96800000 89888000 83232000 76832000 70688000 64800000 59168000 53792000 48672000 43808000 39200000 34848000 30752000 26912000 23328000 20000000'
#     theta_1 = '-6.66 -6.86 -7.06 -7.35 -7.65 -7.95 -8.3 -8.61 -8.95 -9.3 -9.61 -9.92 -10.0 -10.0 -10.0 -10.0 -10.0 -9.31 -7.17 -5.54'
#     theta_2 = '5.5 5.7 5.9 6.2 6.6 6.9 7.3 7.6 8.0 8.4 8.6 8.8 8.82 8.71 8.55 8.3 7.88 6.4 2.4 -2.28'
#     theta_3 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
#     theta_4 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
#     theta_5 = '0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99'
#     taumax = '292500 277500 262500 247500 232500 217500 202500 187500 172500 157500 142500 127500 112500 97500 82500 67500 52500 37500 22500 7500'
#     p_ref = '236841 224695 212550 200404 188258 176112 163967 151821 139675 127530 115384 103238 91092 78947 66801 54655 42510 30364 18218 6072'
#     ######
#     a0 = 1.0
#     a1 = 0.0
#     a2 = 0.0
#     b_exp = 0.0
#     block = '0'
#   [../]
#   [./sample_isoil_strain]
#     type = ComputeIncrementalSmallStrain
#     block = '0'
#     displacements = 'disp_x disp_y disp_z'
#     implicit = false
#   [../]
#   [./sample_isoil_elasticitytensor]
#     type = ComputeIsotropicElasticityTensorSoil
#     block = '0'
#     density = '2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0'
#     wave_speed_calculation = false
#     layer_ids = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19'
#     poissons_ratio = '0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3'
#     shear_modulus = '125000000 118098000 111392000 103968000 96800000 89888000 83232000 76832000 70688000 64800000 59168000 53792000 48672000 43808000 39200000 34848000 30752000 26912000 23328000 20000000'
#     layer_variable = layer_id
#   [../]
# []

[Materials]
  [./I_Soil]
    [./soil_all]
       block = 0
       layer_variable = layer_id
       layer_ids = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19'
       initial_soil_stress = 'initial_xx 0 0 0 initial_xx 0 0 0 initial_zz'
       poissons_ratio = '0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3'
       soil_type = 'gqh'
       number_of_points = 100
       ### GQ/H ####
       initial_shear_modulus = '125000000 118098000 111392000 103968000 96800000 89888000 83232000 76832000 70688000 64800000 59168000 53792000 48672000 43808000 39200000 34848000 30752000 26912000 23328000 20000000'
       theta_1 = '-6.66 -6.86 -7.06 -7.35 -7.65 -7.95 -8.3 -8.61 -8.95 -9.3 -9.61 -9.92 -10.0 -10.0 -10.0 -10.0 -10.0 -9.31 -7.17 -5.54'
       theta_2 = '5.5 5.7 5.9 6.2 6.6 6.9 7.3 7.6 8.0 8.4 8.6 8.8 8.82 8.71 8.55 8.3 7.88 6.4 2.4 -2.28'
       theta_3 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
       theta_4 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
       theta_5 = '0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99'
       taumax = '292500 277500 262500 247500 232500 217500 202500 187500 172500 157500 142500 127500 112500 97500 82500 67500 52500 37500 22500 7500'
       p_ref = '236841 224695 212550 200404 188258 176112 163967 151821 139675 127530 115384 103238 91092 78947 66801 54655 42510 30364 18218 6072'
       ######
       density = '2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0'
       a0 = 1.0
       a1 = 0.0
       a2 = 0.0
       b_exp = 0.0
    [../]
  [../]
[]

[Executioner]
  type = Transient
  start_time = 0.0
  end_time = 85.4
  timestep_tolerance = 1e-6
  l_abs_tol = 1e-12
  # dt = 0.001
  [./TimeIntegrator]
    type = CentralDifference
  [../]
  [./TimeStepper]
    type = PostprocessorDT
    postprocessor = time_step
    dt = 0.001
  [../]
[]

[Postprocessors]
  [./accelx_top]
    type = PointValue
    point = '0.0 0.0 20.0'
    variable = accel_x
  [../]
  [./accelx_top1]
    type = PointValue
    point = '0.0 0.0 19.0'
    variable = accel_x
  [../]
  [./accelx_mid]
    type = PointValue
    point = '0.0 0.0 10.0'
    variable = accel_x
  [../]
  [./accelx_bot]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_x
  [../]
  [./time_step]
    type = CriticalTimeStep
    factor = 0.9
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '80'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.001
    outputs = out
  [../]
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = true
  print_linear_residuals = true
  [./out]
   type = CSV
   execute_on = 'timestep_begin'
   file_base = topsoil_response_explicit
  [../]
  [./screen]
   type = Console
   max_rows = 1
   interval = 1000
  [../]
[]

(examples/ex03a/shear_beam_Isoil_free_field.i)

[Mesh]
  type = GeneratedMesh
  nx = 1
  ny = 1
  nz = 20
  xmin = -0.5
  ymin = -0.5
  zmin = 0.0
  xmax = 0.5
  ymax = 0.5
  zmax = 20.0
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./layer_id]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.000781
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    eta = 0.64026
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    eta = 0.64026
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
    eta = 0.64026
  [../]
  [./gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20.2'
     direction = '0.0 0.0 1.0'
     execute_on = initial
  [../]
[]

[BCs]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_accel]
    type = PresetAcceleration
    boundary = 'back'
    function = accel_bottom
    variable = 'disp_x'
    beta = 0.25
    acceleration = 'accel_x'
    velocity = 'vel_x'
  [../]
  [./Periodic]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom]
     type = PiecewiseLinear
     data_file = chichi_bc_mpss_xp20.csv
     format = 'columns'
  [../]
  [./initial_zz]
    type = ParsedFunction
    value = '-2000.0 * 9.81 * (20.0 - z)'
  [../]
  [./initial_xx]
    type = ParsedFunction
    value = '-2000.0 * 9.81 * (20.0 - z) * 0.3/0.7'
  [../]
[]

[Materials]
  [./I_Soil]
    [./soil_all]
       block = 0
       layer_variable = layer_id
       layer_ids = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19'
       initial_soil_stress = 'initial_xx 0 0 0 initial_xx 0 0 0 initial_zz'
       poissons_ratio = '0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3'
       soil_type = 'gqh'
       number_of_points = 100
       ### GQ/H ####
       initial_shear_modulus = '125000000 118098000 111392000 103968000 96800000 89888000 83232000 76832000 70688000 64800000 59168000 53792000 48672000 43808000 39200000 34848000 30752000 26912000 23328000 20000000'
       theta_1 = '-6.66 -6.86 -7.06 -7.35 -7.65 -7.95 -8.3 -8.61 -8.95 -9.3 -9.61 -9.92 -10.0 -10.0 -10.0 -10.0 -10.0 -9.31 -7.17 -5.54'
       theta_2 = '5.5 5.7 5.9 6.2 6.6 6.9 7.3 7.6 8.0 8.4 8.6 8.8 8.82 8.71 8.55 8.3 7.88 6.4 2.4 -2.28'
       theta_3 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
       theta_4 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
       theta_5 = '0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99'
       taumax = '292500 277500 262500 247500 232500 217500 202500 187500 172500 157500 142500 127500 112500 97500 82500 67500 52500 37500 22500 7500'
       p_ref = '236841 224695 212550 200404 188258 176112 163967 151821 139675 127530 115384 103238 91092 78947 66801 54655 42510 30364 18218 6072'
       ######
       density = '2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0'
       a0 = 1.0
       a1 = 0.0
       a2 = 0.0
       b_exp = 0.0
    [../]
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  nl_abs_tol = 1e-6
  nl_rel_tol = 1e-6
  l_tol = 1e-6
  l_max_its = 50
  start_time = 0.0
  end_time = 85.4
  dt = 0.005
  timestep_tolerance = 1e-6
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'
  line_search = 'none'
[]

[Postprocessors]
  [./accelx_top]
    type = PointValue
    point = '0.0 0.0 20.0'
    variable = accel_x
  [../]
  [./accelx_top1]
    type = PointValue
    point = '0.0 0.0 19.0'
    variable = accel_x
  [../]
  [./accelx_mid]
    type = PointValue
    point = '0.0 0.0 10.0'
    variable = accel_x
  [../]
  [./accelx_bot]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_x
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '80'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = true
  print_linear_residuals = true
  [./out]
   type = CSV
   execute_on = 'timestep_begin'
   file_base = topsoil_response
  [../]
  [./screen]
   type = Console
   max_rows = 1
   interval = 1000
  [../]
[]

(examples/ex13/site_response/sr_input.i)

[Mesh]
  type = GeneratedMesh
  nx = 1
  ny = 1
  nz = 17
  xmin = -0.05
  ymin = -0.05
  zmin = 0.0
  xmax = 0.05
  ymax = 0.05
  zmax = 32.0
  dim = 3
[]

[Variables]
  [disp_x]
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    order = FIRST
    family = LAGRANGE
  []
[]

[AuxVariables]
  [vel_x]
  []
  [accel_x]
  []
  [vel_y]
  []
  [accel_y]
  []
  [vel_z]
  []
  [accel_z]
  []
  [layer_id]
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    stiffness_damping_coefficient = 0.0017490 #1.5% 1-20hz
    displacements = 'disp_x disp_y disp_z'
    static_initialization = true
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    eta = 0.0607069 #1.5% 1-20hz
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    eta = 0.0607069 #1.5% 1-20hz
  []
  [inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
    eta = 0.0607069 #1.5% 1-20hz
  []
  [gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  []
  [layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '32'
     direction = '0.0 0.0 1.0'
     execute_on = initial
  []
[]

[Materials]
  [I_Soil]
    [soil_all]
      block = 0
      layer_variable = layer_id
      layer_ids = '0'
      soil_type = 'user_defined'
      backbone_curve_files = '../backbone.csv'
      displacements = 'disp_x disp_y disp_z'
      poissons_ratio = '0.3'
      initial_shear_modulus = '0.523325'
      density = '1.730e-6'
      a0 = 1.0
      a1 = 0.0
      a2 = 0.0
      b_exp = 0.0
    []
  []
[]

[Controls]
  [inertia_switch]
    type = TimePeriod
    start_time = 0.0
    end_time = 0.01
    disable_objects = '*/inertia_x */inertia_y */inertia_z */vel_x */vel_y */vel_z  */accel_x */accel_y */accel_z'
    set_sync_times = true
    execute_on = 'timestep_begin timestep_end'
  []
[]

[Functions]
  [input_motion_x]
    type = PiecewiseLinear
    data_file = '../ground_motion.csv'
    format = columns
    xy_in_file_only = false
    y_index_in_file = 1
  []
  [input_motion_y]
    type = PiecewiseLinear
    data_file = '../ground_motion.csv'
    format = columns
    xy_in_file_only = false
    y_index_in_file = 2
  []
  [input_motion_z]
    type = PiecewiseLinear
    data_file = '../ground_motion.csv'
    format = columns
    xy_in_file_only = false
    y_index_in_file = 3
  []
[]

[BCs]
  [x_motion]
    type = PresetAcceleration
    acceleration = accel_x
    velocity = vel_x
    variable = disp_x
    beta = 0.25
    boundary = 'back'
    function = 'input_motion_x'
  []
  [y_motion]
    type = PresetAcceleration
    acceleration = accel_y
    velocity = vel_y
    variable = disp_y
    beta = 0.25
    boundary = 'back'
    function = 'input_motion_y'
  []
  [z_motion]
    type = PresetAcceleration
    acceleration = accel_z
    velocity = vel_z
    variable = disp_z
    beta = 0.25
    boundary = 'back'
    function = 'input_motion_z'
  []
  [Periodic]
    [y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 0.1 0.0'
    []
    [x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '0.1 0.0 0.0'
    []
  []
[]

[VectorPostprocessors]
  [accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y accel_z'
    nodes = '0 71'
  []
  [accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.002
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  solve_type = 'NEWTON'
  nl_rel_tol = 1e-7
  nl_abs_tol = 1e-12
  # l_tol = 1e-2
  dt = 0.01
  end_time = 28.0
  timestep_tolerance = 1e-6
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  [out1]
    type = CSV
    execute_on = 'final'
  []
[]

(tutorial/site_response_1.i)

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Mesh]
  type = GeneratedMesh
  nx = 1
  ny = 1
  nz = 100
  xmin = -0.5
  ymin = -0.5
  zmin = 0.0
  xmax = 0.5
  ymax = 0.5
  zmax = 100.0
  dim = 3
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./layer_id]
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    # displacements = 'disp_x disp_y disp_z'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '20 60 100.1'
     direction = '0.0 0.0 1.0'
     execute_on = initial
  [../]
[]


[BCs]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_accel]
    type = PresetAcceleration
    boundary = 'back'
    function = accel_bottom
    variable = 'disp_x'
    beta = 0.25
    acceleration = 'accel_x'
    velocity = 'vel_x'
  [../]
  [./Periodic]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom]
     type = PiecewiseLinear
     data_file = 'acceleration_hist.csv'
     format = 'columns'
  [../]
[]

[Materials]
  [./linear_soil]
    type = ComputeIsotropicElasticityTensorSoil
    layer_variable = layer_id
    layer_ids = '0 1 2'
    shear_modulus = '3e6 2e6 1e6'
    poissons_ratio = '0.2 0.2 0.2'
    density = '1200 1000 800'
  [../]
  [./strain]
    type = ComputeSmallStrain
    # displacements = 'disp_x disp_y disp_z'
  [../]
  [./stress]
    type = ComputeLinearElasticStress
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  start_time = 0
  end_time = 4
  dt = 0.01
  timestep_tolerance = 1e-6
[]

[Postprocessors]
  [top_ax_pv]
    type = PointValue
    point = '0 0 100'
    variable = 'accel_x'
  []
  [./top_ax_nvv]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 401
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y accel_z'
    nodes = '401'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.01
    # outputs = out
  [../]
[]


[Outputs]
  csv = true
  exodus = true
[]

(examples/ex09/Structure_Response.i)

[Mesh]
  type = FileMesh
  file = STR_2D_3.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./rot_x]
    block = '2 3'
  [../]
  [./rot_y]
    block = '2 3'
  [../]
  [./rot_z]
    block = '2 3'
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./vel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_x]
  [../]
  [./accel_y]
  [../]
  [./accel_z]
  [../]
  [./rot_vel_x]
    block = '2 3'
  [../]
  [./rot_vel_y]
    block = '2 3'
  [../]
  [./rot_vel_z]
    block = '2 3'
  [../]
  [./rot_accel_x]
    block = '2 3'
  [../]
  [./rot_accel_y]
    block = '2 3'
  [../]
  [./rot_accel_z]
    block = '2 3'
  [../]
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'

    # dynamic simulation using consistent mass/inertia matrix
    dynamic_nodal_translational_inertia = true

    velocities = 'vel_x vel_y vel_z'
    accelerations = 'accel_x accel_y accel_z'
    rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
    rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

    beta = 0.25 # Newmark time integration parameter
    gamma = 0.5 # Newmark time integration parameter

    [./block_2]
      block = 2
      area = 130.06
      Iy = 24166.729
      Iz = 24166.729
      y_orientation = '0.0 1.0 0.0'

      nodal_mass = 0.1
      boundary = 1
    [../]
  [./block_3]
    block = 3

    nodal_mass = 166.0
    area = 500
    Iy = 1e3
    Iz = 1e3
    y_orientation = '1.0 0.0 0.0'
    density = 2.7

    boundary = 1000
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y'
    block = '1'
  [../]
  [./inertia_x1]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    block = '1'
  [../]
  [./inertia_y1]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    block = '1'
  [../]
  [./inertia_z1]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
    block = '1'
  [../]
  [./gravity]
    type = Gravity
    variable = disp_y
    value = -9.81
    block = '1'
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'timestep_end'
    block = '1'
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'timestep_end'
    block = '1'
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'timestep_end'
    block = '1'
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'timestep_end'
    block = '1'
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = 'timestep_end'
    block = '1'
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = 'timestep_end'
    block = '1'
  [../]
[]

[Materials]
  [./elasticity_base]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e11
    poissons_ratio = 0
    block = '1'
  [../]
  [./stress_beam2]
    type = ComputeFiniteStrainElasticStress
    block = '1'
  [../]
  [./strain_15]
    type = ComputeFiniteStrain
    block = '1'
    displacements = 'disp_x disp_y'
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '1'
    prop_names = density
    prop_values =  2.7
  [../]
  [./elasticity_beam_rigid]
    type = ComputeElasticityBeam
    youngs_modulus = 1e10
    poissons_ratio = 0.3
    shear_coefficient = 0.85
    block = '2 3'
  [../]
  [./stress_beam]
    type = ComputeBeamResultants
    block = '2 3'
  [../]
[]

[BCs]
  [./disp_x]
    type = PresetAcceleration
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    function = accel_bottom
    boundary = 'NY_ns'
  [../]
  [./disp_y]
    type = DirichletBC
    boundary = 'NY'
    variable = disp_y
    value = 0.0
  [../]
  [./disp_z]
    type = DirichletBC
    boundary = 'NY'
    variable = disp_z
    value = 0.0
  [../]
[]

[Functions]
  [./accel_bottom]
    type = PiecewiseLinear
    data_file = Ormsby_USE1.csv
    format = 'columns'
    scale_factor = 1
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'
  start_time = 0.0
  end_time = 4.0
  dt = 0.001
  dtmin = 0.0001
  nl_abs_tol = 1e-3
  nl_rel_tol = 1e-9
  l_tol = 1e-9
  l_max_its = 50
  timestep_tolerance = 1e-8
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '79 109'
    outputs = out
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.001
    damping_ratio = 0.01
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out
  [../]
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = true
  print_linear_residuals = true
  [./out]
  execute_on = 'FINAL'
  type = CSV
  file_base = Str_Final_NoDamp
  [../]
  [./out2]
    type = Exodus
    file_base = Exod_Str_Final_NoDamp
    interval = 10
  [../]
[]

(examples/ex13/fixed_base/fixed_base.i)

[Mesh]
  [mesh_gen]
    type = FileMeshGenerator
    file = fixed_base_mesh.e
  []
  [interface1]
    type = SideSetsBetweenSubdomainsGenerator
    input = mesh_gen
    primary_block = 'fluid_material'
    paired_block = 'RV'
    new_boundary = 'Interface'
  []
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [disp_x]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' #' # 99 98 97 96 95 94'
    order = FIRST
    family = LAGRANGE
  []
  [disp_y]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    order = FIRST
    family = LAGRANGE
  []
  [disp_z]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    order = FIRST
    family = LAGRANGE
  []
  [p]
    block = 'fluid_material'
  []
[]

[AuxVariables]
  [Wave1]
    block = 'fluid_material'
  []
  [vel_x]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
  [accel_x]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
  [vel_y]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
  [accel_y]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
  [vel_z]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
  [accel_z]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
[]

[Kernels]
  [diffusion]
    type = Diffusion
    variable = 'p'
    block = 'fluid_material'
    use_displaced_mesh = false
  []
  [inertia]
    type = AcousticInertia
    variable = p
    block = 'fluid_material'
    use_displaced_mesh = false
  []
  [DynamicTensorMechanics]
    stiffness_damping_coefficient = 0.00006366
    displacements = 'disp_x disp_y disp_z'
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
  []
  [inertia_x]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = InertialForce
    variable = disp_x
    eta = 7.854
  []
  [inertia_y]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = InertialForce
    variable = disp_y
    eta = 7.854
  []
  [inertia_z]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = InertialForce
    variable = disp_z
    eta = 7.854
  []
[]

[AuxKernels]
  [accel_x]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_x]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_y]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_y]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_z]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_z]
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat RV SGs RV_slab' # 99 98 97 96 95 94'
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  []
  [waves]
    type = WaveHeightAuxKernel
    variable = 'Wave1'
    pressure = p
    density = 1e-6
    gravity = 9.81
    execute_on = timestep_end
    block = 'fluid_material'
  []
[]

[InterfaceKernels]
  [interface1]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_x
    boundary = 'Interface'
    D = 1e-6
    component = 0
  []
  [interface2]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_y
    boundary = 'Interface'
    D = 1e-6
    component = 1
  []
  [interface3]
    type =  StructureAcousticInterface
    variable = p
    neighbor_var = disp_z
    boundary = 'Interface'
    D = 1e-6
    component = 2
  []
[]

[Materials]
  [elasticity_1]
    type = ComputeIsotropicElasticityTensor
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat'
    youngs_modulus = 24.8
    poissons_ratio = 0.2
  []
  [strain_1]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat'
  []
  [stress_1]
    type = ComputeLinearElasticStress
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat'
  []
  [den_1]
    type = GenericConstantMaterial
    block = 'roof ext_buttresses ext_walls int_buttresses SG_bases int_wall int_slab RV_housing small_walls basemat'
    prop_names = density
    prop_values = 2.4e-6 #kg/m3
  []

  [elasticity_2]
    type = ComputeIsotropicElasticityTensor
    block = 'RV SGs RV_slab'
    youngs_modulus = 170
    poissons_ratio = 0.3
  []
  [strain_2]
    type = ComputeSmallStrain
    displacements = 'disp_x disp_y disp_z'
    block = 'RV SGs RV_slab'
  []
  [stress_2]
    type = ComputeLinearElasticStress
    block = 'RV SGs RV_slab'
  []

  [den_rv]
    type = GenericConstantMaterial
    block = 'RV RV_slab'
    prop_names = density
    prop_values = 7.85e-6 #kg/m3
  []
  [den_sg]
    type = GenericConstantMaterial
    block = 'SGs'
    prop_names = density
    prop_values = 7.85e-6 #kg/m3
  []

  [density_fluid]
    type = GenericConstantMaterial
    prop_names = inv_co_sq
    prop_values = 4.65e-7
    block = 'fluid_material'
  []
  [dens2]
    type = GenericConstantMaterial
    block = 'fluid_material'
    prop_names = density
    prop_values = 1e-6
  []
[]

[Functions]
  [input_motion_x]
    type = PiecewiseLinear
    data_file = 'fixed_base_input_motion.csv'
    format = columns
    xy_in_file_only = false
    y_index_in_file = 1
  []
  [input_motion_y]
    type = PiecewiseLinear
    data_file = 'fixed_base_input_motion.csv'
    format = columns
    xy_in_file_only = false
    y_index_in_file = 2
  []
  [input_motion_z]
    type = PiecewiseLinear
    data_file = 'fixed_base_input_motion.csv'
    format = columns
    xy_in_file_only = false
    y_index_in_file = 3
  []
[]

[BCs]
  [x_motion]
    type = PresetAcceleration
    acceleration = accel_x
    velocity = vel_x
    variable = disp_x
    beta = 0.25
    boundary = 'bottom_surface'
    function = 'input_motion_x'
  []
  [y_motion]
    type = PresetAcceleration
    acceleration = accel_y
    velocity = vel_y
    variable = disp_y
    beta = 0.25
    boundary = 'bottom_surface'
    function = 'input_motion_y'
  []
  [z_motion]
    type = PresetAcceleration
    acceleration = accel_z
    velocity = vel_z
    variable = disp_z
    beta = 0.25
    boundary = 'bottom_surface'
    function = 'input_motion_z'
  []

  [free]
    type = FluidFreeSurfaceBC
    variable = p
    boundary = 'fluid_top'
  []
[]

[Postprocessors]
[Wave1]
  type = PointValue
  point = '-17.235 0.0 6.655'
  variable = Wave1
[]
[Wave2]
  type = PointValue
  point = '-17.0 0.0 6.655'
  variable = Wave1
[]
[Wave3]
  type = PointValue
  point = '-16.75 0.0 6.655'
  variable = Wave1
[]
[Wave4]
  type = PointValue
  point = '-16.5 0.0 6.655'
  variable = Wave1
[]
[Wave5]
  type = PointValue
  point = '-16.25 0.0 6.655'
  variable = Wave1
[]
[Wave6]
  type = PointValue
  point = '-16.0 0.0 6.655'
  variable = Wave1
[]
[Wave7]
  type = PointValue
  point = '-15.75 0.0 6.655'
  variable = Wave1
[]
[Wave8]
  type = PointValue
  point = '-15.5 0.0 6.655'
  variable = Wave1
[]
[Wave9]
  type = PointValue
  point = '-15.25 0.0 6.655'
  variable = Wave1
[]
[Wave10]
  type = PointValue
  point = '-15.0 0.0 6.655'
  variable = Wave1
[]
[Wave11]
  type = PointValue
  point = '-14.75 0.0 6.655'
  variable = Wave1
[]
[Wave12]
  type = PointValue
  point = '-14.5 0.0 6.655'
  variable = Wave1
[]
[Wave13]
  type = PointValue
  point = '-14.25 0.0 6.655'
  variable = Wave1
[]
[Wave14]
  type = PointValue
  point = '-14.0 0.0 6.655'
  variable = Wave1
[]
[Wave15]
  type = PointValue
  point = '-13.75 0.0 6.655'
  variable = Wave1
[]
[Wave16]
  type = PointValue
  point = '-13.5 0.0 6.655'
  variable = Wave1
[]
[Wave17]
  type = PointValue
  point = '-13.25 0.0 6.655'
  variable = Wave1
[]
[Wave18]
  type = PointValue
  point = '-13.0 0.0 6.655'
  variable = Wave1
[]
[Wave19]
  type = PointValue
  point = '-12.765 0.0 6.655'
  variable = Wave1
[]

[p1_n]
  type = PointValue
  point = '-17.48 0.0 6.655'
  variable = p
[]
[p2_n]
  type = PointValue
  point = '-17.48 0.0 6.3'
  variable = p
[]
[p3_n]
  type = PointValue
  point = '-17.48 0.0 6.0'
  variable = p
[]
[p4_n]
  type = PointValue
  point = '-17.48 0.0 5.7'
  variable = p
[]
[p5_n]
  type = PointValue
  point = '-17.48 0.0 5.4'
  variable = p
[]
[p6_n]
  type = PointValue
  point = '-17.48 0.0 5.1'
  variable = p
[]
[p7_n]
  type = PointValue
  point = '-17.48 0.0 4.8'
  variable = p
[]
[p8_n]
  type = PointValue
  point = '-17.48 0.0 4.5'
  variable = p
[]
[p9_n]
  type = PointValue
  point = '-17.48 0.0 4.2'
  variable = p
[]
[p10_n]
  type = PointValue
  point = '-17.48 0.0 3.9'
  variable = p
[]
[p11_n]
  type = PointValue
  point = '-17.48 0.0 3.6'
  variable = p
[]
[p12_n]
  type = PointValue
  point = '-17.48 0.0 3.3'
  variable = p
[]
[p13_n]
  type = PointValue
  point = '-17.48 0.0 3.0'
  variable = p
[]
[p14_n]
  type = PointValue
  point = '-17.48 0.0 2.855'
  variable = p
[]

[p1_p]
  type = PointValue
  point = '-12.52 0.0 6.655'
  variable = p
[]
[p2_p]
  type = PointValue
  point = '-12.52 0.0 6.3'
  variable = p
[]
[p3_p]
  type = PointValue
  point = '-12.52 0.0 6.0'
  variable = p
[]
[p4_p]
  type = PointValue
  point = '-12.52 0.0 5.7'
  variable = p
[]
[p5_p]
  type = PointValue
  point = '-12.52 0.0 5.4'
  variable = p
[]
[p6_p]
  type = PointValue
  point = '-12.52 0.0 5.1'
  variable = p
[]
[p7_p]
  type = PointValue
  point = '-12.52 0.0 4.8'
  variable = p
[]
[p8_p]
  type = PointValue
  point = '-12.52 0.0 4.5'
  variable = p
[]
[p9_p]
  type = PointValue
  point = '-12.52 0.0 4.2'
  variable = p
[]
[p10_p]
  type = PointValue
  point = '-12.52 0.0 3.9'
  variable = p
[]
[p11_p]
  type = PointValue
  point = '-12.52 0.0 3.6'
  variable = p
[]
[p12_p]
  type = PointValue
  point = '-12.52 0.0 3.3'
  variable = p
[]
[p13_p]
  type = PointValue
  point = '-12.52 0.0 3.0'
  variable = p
[]
[p14_p]
  type = PointValue
  point = '-12.52 0.0 2.855'
  variable = p
[]
[moment_x]
  type = SidesetMoment
  boundary = 'fluid_interface'
  reference_point = '-15.0 0.0 7.625'
  moment_direction = '1 0 0'
  pressure = p
[]
[moment_y]
  type = SidesetMoment
  boundary = 'fluid_interface'
  reference_point = '-15.0 0.0 7.625'
  moment_direction = '0 1 0'
  pressure = p
[]
[moment_z]
  type = SidesetMoment
  boundary = 'fluid_interface'
  reference_point = '-15.0 0.0 7.625'
  moment_direction = '0 0 1'
  pressure = p
[]
[]


[VectorPostprocessors]
  [accel_hist_x]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    boundary = 'rv_head_nodes'
    outputs = out1
  []
  [accel_spec_x]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_x
    regularize_dt = 0.002
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out1
  []

  [accel_hist_y]
    type = ResponseHistoryBuilder
    variables = 'accel_y'
    boundary = 'rv_head_nodes'
    outputs = out1
  []
  [accel_spec_y]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_y
    regularize_dt = 0.002
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out1
  []

  [accel_hist_z]
    type = ResponseHistoryBuilder
    variables = 'accel_z'
    boundary = 'rv_head_nodes'
    outputs = out1
  []
  [accel_spec_z]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_z
    regularize_dt = 0.002
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out1
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  solve_type = 'NEWTON'
  nl_rel_tol = 1e-7
  nl_abs_tol = 1e-12
  dt = 0.01
  end_time = 28.0
  timestep_tolerance = 1e-6
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.25
    gamma = 0.5
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  [out1]
    type = CSV
    execute_on = 'final'
  []
[]

(examples/ex14/basemat_with_isolators_new.i)

[Mesh]
  [mesh_gen]
    type = FileMeshGenerator
    file = basemat_with_isolators_new.e
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [rot_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_z]
    block = 'isolator_elems upper_rigid_elems'
  []
[]

[AuxVariables]
  [vel_x]
  []
  [accel_x]
  []
  [vel_y]
  []
  [accel_y]
  []
  [vel_z]
  []
  [accel_z]
  []
  [rot_vel_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_vel_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_vel_z]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_z]
    block = 'isolator_elems upper_rigid_elems'
  []
  [Fb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Fb_y]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Fb_z]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Velb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_y]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_z]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  displacements = 'disp_x disp_y disp_z'
  rotations = 'rot_x rot_y rot_z'

  velocities = 'vel_x vel_y vel_z'
  accelerations = 'accel_x accel_y accel_z'
  rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
  rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

  beta = 0.275625
  gamma = 0.55
  alpha = -0.05

  [rigid_beams]
    block = 'upper_rigid_elems'
    area = 130.06
    Iy = 24166.729
    Iz = 24166.729
    y_orientation = '0.0 0.0 1.0'
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    block = 'upper_basemat'
    hht_alpha = -0.05
    static_initialization = true
    stiffness_damping_coefficient = 0.0019
  []
  [inertia_x]
    type = InertialForce
    block = 'upper_basemat'
    variable = disp_x
    eta = 0.038
    alpha = -0.05
  []
  [inertia_y]
    type = InertialForce
    block = 'upper_basemat'
    variable = disp_y
    eta = 0.038
    alpha = -0.05
  []
  [inertia_z]
    type = InertialForce
    block = 'upper_basemat'
    variable = disp_z
    eta = 0.038
    alpha = -0.05
  []
  [lr_disp_x]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 0
    variable = disp_x
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_disp_y]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 1
    variable = disp_y
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_disp_z]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 2
    variable = disp_z
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_x]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 3
    variable = rot_x
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_y]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 4
    variable = rot_y
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_z]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 5
    variable = rot_z
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    block = 'upper_basemat'
    alpha = -0.05
  []
[]

[AuxKernels]
  [Fb_x]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 0
    column = 0
    variable = Fb_x
    block = 'isolator_elems'
  []
  [Fb_y]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 1
    column = 0
    variable = Fb_y
    block = 'isolator_elems'
  []
  [Fb_z]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 2
    column = 0
    variable = Fb_z
    block = 'isolator_elems'
  []
  [Defb_x]
    type = MaterialRealCMMAux
    property = deformations
    row = 0
    column = 0
    variable = Defb_x
    block = 'isolator_elems'
  []
  [Velb_x]
    type = MaterialRealCMMAux
    property = deformation_rates
    row = 0
    column = 0
    variable = Velb_x
    block = 'isolator_elems'
  []
  [Defb_y]
    type = MaterialRealCMMAux
    property = deformations
    row = 1
    column = 0
    variable = Defb_y
    block = 'isolator_elems'
  []
  [Defb_z]
    type = MaterialRealCMMAux
    property = deformations
    row = 2
    column = 0
    variable = Defb_z
    block = 'isolator_elems'
  []
  [accel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
  []
  [vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
  []
  [accel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = accel_y
    first = false
  []
  [vel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = vel_y
  []
  [accel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = accel_z
    first = false
  []
  [vel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = vel_z
  []
  [rot_accel_x]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_x
    variable = rot_accel_x
    first = false
  []
  [rot_vel_x]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_x
    variable = rot_vel_x
  []
  [rot_accel_y]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_y
    variable = rot_accel_y
    first = false
  []
  [rot_vel_y]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_y
    variable = rot_vel_y
  []
  [rot_accel_z]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_z
    variable = rot_accel_z
    first = false
  []
  [rot_vel_z]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_z
    variable = rot_vel_z
  []
[]

[Materials]
  [elasticity_concrete]
    type = ComputeIsotropicElasticityTensor
    block = 'upper_basemat'
    youngs_modulus = 99.2 #GPa # concrete x 4 making basemat rigid
    poissons_ratio = 0.2
  []
  [strain_1]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
    block = 'upper_basemat'
  []
  [stress_1]
    type = ComputeFiniteStrainElasticStress
    block = 'upper_basemat'
  []
  [concrete_density]
    type = GenericConstantMaterial
    block = 'upper_basemat'
    prop_names = density
    prop_values = 11.04e-6 # e9kg/m3 # total wt of 75,000 tons
  []

  [isolator_deformation]
    type = ComputeIsolatorDeformation
    sd_ratio = 0.5
    y_orientation = '1.0 0.0 0.0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    velocities = 'vel_x vel_y vel_z'
    block = 'isolator_elems'
  []
  [elasticity]
    type = ComputeFPIsolatorElasticity
    mu_ref = 0.06
    p_ref = 0.05 # GPa
    block = 'isolator_elems'
    diffusivity = 4.4e-6
    conductivity = 18
    a = 100
    r_eff = 1.0 # meters. 2sec sliding period
    r_contact = 0.2
    uy = 0.001
    unit = 4
    beta = 0.275625
    gamma = 0.55
    pressure_dependent = false
    temperature_dependent = false
    velocity_dependent = false
    k_x = 78.53 # 7.853e10 N
    k_xx = 0.62282 # 622820743.6 N
    k_yy = 0.3114 # 311410371.8 N
    k_zz = 0.3114 # 311410371.8 N
  []

  [elasticity_beam_rigid]
    type = ComputeElasticityBeam
    youngs_modulus = 2e4
    poissons_ratio = 0.27
    shear_coefficient = 0.85
    block = 'upper_rigid_elems'
  []
  [stress_beam_rigid]
    type = ComputeBeamResultants
    block = 'upper_rigid_elems'
  []
[]

[Functions]
  [input_motion_x]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 1
    xy_in_file_only = false
  []
[]

[BCs]
  [x_motion]
    type = PresetAcceleration
    acceleration = accel_x
    velocity = vel_x
    variable = disp_x
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_x'
  []
  [fix_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrxbot]
    type = DirichletBC
    variable = rot_x
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrybot]
    type = DirichletBC
    variable = rot_y
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrzbot]
    type = DirichletBC
    variable = rot_z
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrxcon]
    type = DirichletBC
    variable = rot_x
    boundary = 'connections'
    value = 0.0
  []
  [fixrycon]
    type = DirichletBC
    variable = rot_y
    boundary = 'connections'
    value = 0.0
  []
  [fixrzcon]
    type = DirichletBC
    variable = rot_z
    boundary = 'connections'
    value = 0.0
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  solve_type = 'NEWTON'
  nl_rel_tol = 1e-7
  nl_abs_tol = 1e-15
  dt = 0.01
  end_time = 28
  timestep_tolerance = 1e-6
  automatic_scaling = true
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.275625
    gamma = 0.55
    inactive_tsteps = 2
  []
[]

[Controls]
  [inertia_switch]
    type = TimePeriod
    start_time = 0.0
    end_time = 0.03
    disable_objects = '*/inertia_x */inertia_y */inertia_z
                       */vel_x */vel_y */vel_z
                       */accel_x */accel_y */accel_z
                       */rot_vel_x */rot_vel_y */rot_vel_z
                       */rot_accel_x */rot_accel_y */rot_accel_z'
    set_sync_times = true
    execute_on = 'timestep_begin timestep_end'
  []
[]

[Postprocessors]
  [inp_accel_x]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_x
  []
  [inp_accel_y]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_y
  []
  [inp_accel_z]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_z
  []
  [basemat_accel_x]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_x
  []
  [basemat_accel_y]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_y
  []
  [basemat_accel_z]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_z
  []
  [iso1_fb_axial]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_x
  []
  [iso1_defb_axial]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_x
  []
  [iso1_fb_shear1]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_y
  []
  [iso1_defb_shear1]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_y
  []
  [iso1_fb_shear2]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_z
  []
  [iso1_defb_shear2]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_z
  []
[]

[VectorPostprocessors]
  [accel_hist_x]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '7943 4568 8640 564 8588'
    # locations:
    # 7943-basemat_center-(0.35,-0.75,-1)(approx)
    # 4568-center_isolator_top-(5,0,-1)
    # 8640-center_isolator_bottom-(5,0,-1.3)
    # 564-edge_isolator_top-(-45,30,-1)
    # 8588-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_x]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_x
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []

  [accel_hist_y]
    type = ResponseHistoryBuilder
    variables = 'accel_y'
    nodes = '7943 4568 8640 564 8588'
    # locations:
    # 7943-basemat_center-(0.35,-0.75,-1)(approx)
    # 4568-center_isolator_top-(5,0,-1)
    # 8640-center_isolator_bottom-(5,0,-1.3)
    # 564-edge_isolator_top-(-45,30,-1)
    # 8588-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_y]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_y
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []

  [accel_hist_z]
    type = ResponseHistoryBuilder
    variables = 'accel_z'
    nodes = '7943 4568 8640 564 8588'
    # locations:
    # 7943-basemat_center-(0.35,-0.75,-1)(approx)
    # 4568-center_isolator_top-(5,0,-1)
    # 8640-center_isolator_bottom-(5,0,-1.3)
    # 564-edge_isolator_top-(-45,30,-1)
    # 8588-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_z]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_z
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  [out1]
    type = CSV
    execute_on = 'final'
  []
[]

(examples/ex03a/shear_beam_Isoil_free_field_AD.i)

[Mesh]
  type = GeneratedMesh
  nx = 1
  ny = 1
  nz = 20
  xmin = -0.5
  ymin = -0.5
  zmin = 0.0
  xmax = 0.5
  ymax = 0.5
  zmax = 20.0
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./layer_id]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.000781
    use_automatic_differentiation = true
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    eta = 0.64026
    density = 'reg_density'
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    eta = 0.64026
    density = 'reg_density'
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
    eta = 0.64026
    density = 'reg_density'
  [../]
  [./gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    density = 'reg_density'
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20.2'
     direction = '0.0 0.0 1.0'
     execute_on = initial
  [../]
[]

[BCs]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_accel]
    type = PresetAcceleration
    boundary = 'back'
    function = accel_bottom
    variable = 'disp_x'
    beta = 0.25
    acceleration = 'accel_x'
    velocity = 'vel_x'
  [../]
  [./Periodic]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom]
     type = PiecewiseLinear
     data_file = chichi_bc_mpss_xp20.csv
     format = 'columns'
  [../]
  [./initial_zz]
    type = ParsedFunction
    value = '-2000.0 * 9.81 * (20.0 - z)'
  [../]
  [./initial_xx]
    type = ParsedFunction
    value = '-2000.0 * 9.81 * (20.0 - z) * 0.3/0.7'
  [../]
[]

[Materials]
  [./I_Soil]
    [./soil_all]
       block = 0
       layer_variable = layer_id
       layer_ids = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19'
       initial_soil_stress = 'initial_xx 0 0 0 initial_xx 0 0 0 initial_zz'
       poissons_ratio = '0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3'
       soil_type = 'gqh'
       number_of_points = 100
       ### GQ/H ####
       initial_shear_modulus = '125000000 118098000 111392000 103968000 96800000 89888000 83232000 76832000 70688000 64800000 59168000 53792000 48672000 43808000 39200000 34848000 30752000 26912000 23328000 20000000'
       theta_1 = '-6.66 -6.86 -7.06 -7.35 -7.65 -7.95 -8.3 -8.61 -8.95 -9.3 -9.61 -9.92 -10.0 -10.0 -10.0 -10.0 -10.0 -9.31 -7.17 -5.54'
       theta_2 = '5.5 5.7 5.9 6.2 6.6 6.9 7.3 7.6 8.0 8.4 8.6 8.8 8.82 8.71 8.55 8.3 7.88 6.4 2.4 -2.28'
       theta_3 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
       theta_4 = '1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0'
       theta_5 = '0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99'
       taumax = '292500 277500 262500 247500 232500 217500 202500 187500 172500 157500 142500 127500 112500 97500 82500 67500 52500 37500 22500 7500'
       p_ref = '236841 224695 212550 200404 188258 176112 163967 151821 139675 127530 115384 103238 91092 78947 66801 54655 42510 30364 18218 6072'
       ######
       density = '2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0 2000.0'
       a0 = 1.0
       a1 = 0.0
       a2 = 0.0
       b_exp = 0.0
       use_automatic_differentiation = true
    [../]
  [../]
  [converter]
    type = MaterialConverter
    ad_props_in = 'density'
    reg_props_out = 'reg_density'
  []
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  nl_abs_tol = 1e-6
  nl_rel_tol = 1e-6
  start_time = 0
  end_time = 85.4
  dt = 0.001
  l_max_its = 50
  timestep_tolerance = 1e-6
[]

[Postprocessors]
  [./accelx_top]
    type = PointValue
    point = '0.0 0.0 20.0'
    variable = accel_x
  [../]
  [./accelx_top1]
    type = PointValue
    point = '0.0 0.0 19.0'
    variable = accel_x
  [../]
  [./accelx_mid]
    type = PointValue
    point = '0.0 0.0 10.0'
    variable = accel_x
  [../]
  [./accelx_bot]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_x
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '80'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = true
  print_linear_residuals = true
  [./out]
   type = CSV
   execute_on = 'final'
   file_base = topsoil_response_AD
  [../]
 [./screen]
   type = Console
   max_rows = 1
   interval = 1000
 [../]
[]

(examples/ex05a/StickModel_accel_base.i)

[Mesh]
  type = FileMesh
  file = foundbeam_noded.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./rot_x]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 16'
  [../]
  [./rot_y]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 16'
  [../]
  [./rot_z]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 16'
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./vel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_x]
  [../]
  [./accel_y]
  [../]
  [./accel_z]
  [../]
  [./rot_vel_x]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
  [../]
  [./rot_vel_y]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
  [../]
  [./rot_vel_z]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
  [../]
  [./rot_accel_x]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
  [../]
  [./rot_accel_y]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
  [../]
  [./rot_accel_z]
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
  [../]
[]


[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.0005438894818
    block = 15
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    eta = 3.26645357034 # Mass proportional Rayleigh damping
    block = 15
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    eta = 3.26645357034 # Mass proportional Rayleigh damping
    block = 15
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
    eta = 3.26645357034 # Mass proportional Rayleigh damping
    block = 15
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'timestep_end'
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'timestep_end'
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'timestep_end'
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'timestep_end'
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = 'timestep_end'
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = 'timestep_end'
  [../]
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
#    add_variables = true
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'

    # dynamic simulation using consistent mass/inertia matrix
    dynamic_nodal_translational_inertia = true

    velocities = 'vel_x vel_y vel_z'
    accelerations = 'accel_x accel_y accel_z'
    rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
    rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

    beta = 0.25 # Newmark time integration parameter
    gamma = 0.5 # Newmark time integration parameter

    # parameters for 5% Rayleigh damping
    zeta = 0.0005438894818 # stiffness proportional damping
    eta = 3.26645357034 # Mass proportional Rayleigh damping
  [./block_1]
    block = 1
    area = 1400
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 142.860001
    boundary = 1 # vertex 2
  [../]
  [./block_2]
    block = 2
    area = 1400
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 130.429993
    boundary = 2 # vertex 4, 6, 8, 10, 12
  [../]
  [./block_3]
    block = 3
    area = 1400
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 143.169998
    boundary = 3 # vertex 12
  [../]
  [./block_4]
    block = 4
    area = 990
    Iy = 1.9e6
    Iz = 1.9e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 93.79000092
    boundary = 4 # vertex 14
  [../]
  [./block_5]
    block = 5
    area = 990
    Iy = 1.5e6
    Iz = 1.5e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 76.70999908
    boundary = 5 # vertex 16
  [../]
  [./block_6]
    block = 6
    area = 990
    Iy = 8e5
    Iz = 8e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 65.83999634
    boundary = 6 # vertex 18
  [../]
  [./block_7]
    block = 7
    area = 990
    Iy = 2e5
    Iz = 2e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 5.90000010
    boundary = 7 # vertex 20
  [../]
  # right
  [./block_8]
    block = 8
    area = 2000
    Iy = 1.1e6
    Iz = 1.1e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 86.95999908
    boundary = 8 # vertex 22
  [../]
  [./block_9]
    block = 9
    area = 2560
    Iy = 1.2e6
    Iz = 1.2e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 77.94999695
    boundary = 9 # vertex 24
  [../]
  [./block_10]
    block = 10
    area = 2210
    Iy = 1.2e6
    Iz = 1.2e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 195.339996
    boundary = 10 # vertex 26
  [../]
  [./block_11]
    block = 11
    area = 1960
    Iy = 1.3e6
    Iz = 1.3e6
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 116.769997
    boundary = 11 # vertex 28
  [../]
  [./block_12]
    block = 12
    area = 1740
    Iy = 9e5
    Iz = 9e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 265.220001
    boundary = 12 # vertex 30
  [../]
  [./block_13]
    block = 13
    area = 780
    Iy = 2e5
    Iz = 2e5
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 37.88999939
    boundary = 13 # vertex 32
  [../]
  [./block_14]
    block = 14
    area = 190
    Iy = 4000.0
    Iz = 4000.0
    y_orientation = '0.0 1.0 0.0'

    nodal_mass = 25.46999931
    boundary = 14 # vertex 34
  [../]
  [./block_16]
    block = 16
    area = 2000
    Iy = 2.8e6
    Iz = 2.8e6
    y_orientation = '0.0 0.0 1.0'
    dynamic_nodal_translational_inertia = false
  [../]
[]

[Materials]
  [./elasticity_beam_outer_1]
    type = ComputeElasticityBeam
    youngs_modulus = 6.9e5
    poissons_ratio = 0.278
    shear_coefficient = 0.5
    block = '1 2 3'
  [../]
  [./elasticity_beam_outer_2]
    type = ComputeElasticityBeam
    youngs_modulus = 6.9e5
    poissons_ratio = 0.278
    shear_coefficient = 0.505
    block = '4 5 6 7'
  [../]
  [./elasticity_beam_inner_1]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.66
    block = '8'
  [../]
  [./elasticity_beam_inner_2]
     type = ComputeElasticityBeam
     youngs_modulus = 3.45e5
     poissons_ratio = 0.278
     shear_coefficient = 0.609375
     block = '9'
  [../]
  [./elasticity_beam_inner_3]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.6606
    block = '10'
  [../]
  [./elasticity_beam_inner_4]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.372
    block = '11'
  [../]
  [./elasticity_beam_inner_5]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.345
    block = '12'
  [../]
  [./elasticity_beam_inner_6]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.462
    block = '13'
  [../]
  [./elasticity_beam_inner_7]
    type = ComputeElasticityBeam
    youngs_modulus = 3.45e5
    poissons_ratio = 0.278
    shear_coefficient = 0.368
    block = '14'
  [../]
  [./elasticity_beam_foundation]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 9e7
    poissons_ratio = 0
    block = '15'
  [../]
  [./foundation_connecting_beam]
    type = ComputeElasticityBeam
    youngs_modulus = 9e7
    poissons_ratio = 0
    shear_coefficient = 0.833
    block = '16'
  [../]
  [./stress_beam]
    type = ComputeBeamResultants
    block = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 16'
  [../]
  [./stress_beam2]
    type = ComputeFiniteStrainElasticStress
    block = '15'
  [../]
  [./strain_15]
    type = ComputeFiniteStrain
    block = '15'
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '15 16'
    prop_names = density
    prop_values =  0.115
  [../]
[]

[BCs]
  [./disp_x]
    type = PresetAcceleration
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    function = accel_x
    boundary = '100'
  [../]
  [./disp_y]
    type = PresetAcceleration
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    function = accel_y
    boundary = '100'
  [../]
  [./disp_z]
    type = PresetAcceleration
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    function = accel_z
    boundary = '100'
  [../]
  [./rot_x]
    type = DirichletBC
    boundary = '1002'
    variable = rot_x
    value = 0.0
  [../]
  [./rot_y]
    type = DirichletBC
    boundary = '1002'
    variable = rot_y
    value = 0.0
  [../]
  [./rot_z]
    type = DirichletBC
    boundary = '1002'
    variable = rot_z
    value = 0.0
  [../]
[]

[Functions]
  [./accel_x]
    type = PiecewiseLinear
    data_file = 'accel_x.csv'
    format = 'columns'
    scale_factor = 32.2000008
  [../]
  [./accel_y]
    type = PiecewiseLinear
    data_file = 'accel_y.csv'
    format = 'columns'
    scale_factor = 32.2000008
  [../]
  [./accel_z]
    type = PiecewiseLinear
    data_file = 'accel_z.csv'
    format = 'columns'
    scale_factor = 32.2000008
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  end_time = 45.0
  dt = 0.005
  dtmin = 0.001
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-6
  l_tol = 1e-8
  timestep_tolerance = 1e-8
[]

[Postprocessors]
    [./accel_x_11]
    type = PointValue
    variable = accel_x
    point = '0.0 0.0 217.0'
  [../]
  [./accel_y_11]
    type = PointValue
    variable = accel_y
    point = '0.0 0.0 217.0'
  [../]
  [./accel_z_11]
    type = PointValue
    variable = accel_z
    point = '0.0 0.0 217.0'
  [../]
  [./accel_x_14]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 238
  [../]
  [./accel_y_14]
    type = NodalVariableValue
    variable = accel_y
    nodeid = 238
  [../]
  [./accel_z_14]
    type = NodalVariableValue
    variable = accel_z
    nodeid = 238
  [../]
  [./accel_x_17]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 278
  [../]
  [./accel_y_17]
    type = NodalVariableValue
    variable = accel_y
    nodeid = 278
  [../]
  [./accel_z_17]
    type = NodalVariableValue
    variable = accel_z
    nodeid = 278
  [../]
  [./accel_x_18]
    type = NodalVariableValue
    variable = accel_x
    nodeid = 311
  [../]
  [./accel_y_18]
    type = NodalVariableValue
    variable = accel_y
    nodeid = 311
  [../]
  [./accel_z_18]
    type = NodalVariableValue
    variable = accel_z
    nodeid = 311
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y accel_z'
    nodes = '1 238 209 278 311 217'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

[Outputs]
  [./out]
    type = CSV
    execute_on = 'final'
    file_base = matfoundation_response
  [../]
  exodus = true
  [./console]
    type = Console
    max_rows = 1
  [../]
[]

(examples/ex15/TankUQ_mod.i)

[Mesh]
  [file]
    type = FileMeshGenerator
    file = Vessel_NoIsolator_Coarse.e
  []
  [interface1]
    type = SideSetsBetweenSubdomainsGenerator
    input = file
    primary_block = '2'
    paired_block = '1'
    new_boundary = 'Interface'
  []
[]

[GlobalParams]
[]

[Variables]
  [p]
   block = 2
  []
  [disp_x]
    block = 1
  []
  [disp_y]
    block = 1
  []
  [disp_z]
    block = 1
  []
[]

[AuxVariables]
  [Wave1]
    block = 2
  []
  [vel_x]
    order = FIRST
    family = LAGRANGE
    block = 1
  []
  [accel_x]
    order = FIRST
    family = LAGRANGE
    block = 1
  []
  [vel_y]
    order = FIRST
    family = LAGRANGE
    block = 1
  []
  [accel_y]
    order = FIRST
    family = LAGRANGE
    block = 1
  []
  [vel_z]
    order = FIRST
    family = LAGRANGE
    block = 1
  []
  [accel_z]
    order = FIRST
    family = LAGRANGE
    block = 1
  []
  [stress_xx]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
  [stress_yy]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
  [stress_xy]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
  [stress_zz]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
  [stress_yz]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
  [stress_xz]
    order = CONSTANT
    family = MONOMIAL
    block = 1
  []
[]

[Kernels]
  [diffusion]
    type = Diffusion
    variable = 'p'
    block = 2
  []
  [inertia]
    type = AcousticInertia
    variable = p
    block = 2
  []
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    block = 1
  []
  [inertia_x1]
    type = InertialForce
    variable = disp_x
    block = 1
  []
  [inertia_y1]
    type = InertialForce
    variable = disp_y
    block = 1
  []
  [inertia_z1]
    type = InertialForce
    variable = disp_z
    block = 1
  []
[]

[AuxKernels]
  [waves]
    type = WaveHeightAuxKernel
    variable = 'Wave1'
    pressure = p
    density = 1e-6
    gravity = 9.81
    execute_on = timestep_end
    block = 2
  []
  [accel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
    block = 1
  []
  [vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
    block = 1
  []
  [accel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = accel_y
    first = false
    block = 1
  []
  [vel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = vel_y
    block = 1
  []
  [accel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = accel_z
    first = false
    block = 1
  []
  [vel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = vel_z
    block = 1
  []
  [stress_xx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xx
    index_i = 0
    index_j = 0
    block = 1
  []
  [stress_yy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yy
    index_i = 1
    index_j = 1
    block = 1
  []
  [stress_xy]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xy
    index_i = 0
    index_j = 1
    block = 1
  []
  [stress_zz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zz
    index_i = 2
    index_j = 2
    block = 1
  []
  [stress_yz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_yz
    index_i = 1
    index_j = 2
    block = 1
  []
  [stress_xz]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_xz
    index_i = 0
    index_j = 2
    block = 1
  []
[]

[InterfaceKernels]
  [interface1]
    type = StructureAcousticInterface
    variable = p
    neighbor_var = disp_x
    boundary = 'Interface'
    D = 1e-6
    component = 0
  []
  [interface2]
    type = StructureAcousticInterface
    variable = p
    neighbor_var = disp_y
    boundary = 'Interface'
    D = 1e-6
    component = 1
  []
  [interface3]
    type = StructureAcousticInterface
    variable = p
    neighbor_var = disp_z
    boundary = 'Interface'
    D = 1e-6
    component = 2
  []
[]

[BCs]
  [top_accel1]
    type = PresetAcceleration
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    function = groundmotion
    boundary = 'Top'
  []
  [disp_x2]
    type = DirichletBC
    variable = disp_y
    boundary = 'Top'
    value = 0.0
  []
  [disp_x3]
    type = DirichletBC
    variable = disp_z
    boundary = 'Top'
    value = 0.0
  []
  [free]
    type = FluidFreeSurfaceBC
    variable = p
    boundary = 'Fluid_top'
    alpha = '0.1'
  []
[]

[Functions]
  [groundmotion]
    type = GroundMotionSim
    M = 0
    R = 0
    Vs30 = 0
    F = 'SS'
    n = 0
    execute_on = INITIAL
  []
[]

[Materials]
  [density]
    type = GenericConstantMaterial
    prop_names = inv_co_sq
    prop_values = 4.65e-7
    block = 2
  []
  [density0]
    type = GenericConstantMaterial
    block = 1
    prop_names = density
    prop_values = 7.85e-6
  []
  [elasticity_base]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 2e2
    poissons_ratio = 0.27
    block = 1
  []
  [strain]
    type = ComputeFiniteStrain
    block = 1
    displacements = 'disp_x disp_y disp_z'
  []
  [stress]
    type =  ComputeFiniteStrainElasticStress
    block = 1
  []
[]

[Preconditioning]
  [andy]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  start_time = 0.0
  end_time = 10.0
  dt = 0.005
  dtmin = 0.001
  nl_abs_tol = 1e-14
  nl_rel_tol = 1e-14
  l_tol = 1e-14
  l_max_its = 25
  timestep_tolerance = 1e-8
  automatic_scaling = true
  [TimeIntegrator]
    type = NewmarkBeta
  []
[]

[Controls]
  [stochastic]
    type = SamplerReceiver
  []
[]

[Postprocessors]
  [PSide]
    type = PointValue
    point = '2.412779 -0.425438 0.050000'
    variable = p
  []
  [Wave]
    type = PointValue
    point = '2.450000 0.000000 5.050000'
    variable = Wave1
  []
  [DispBottom]
    type = PointValue
    point = '2.462019 0.434120 0.000'
    variable = disp_x
  []
  [AccBottom]
    type = PointValue
    point = '2.462019 0.434120 0.000'
    variable = accel_x
  []
  [PeakDisp]
    type = TimeExtremeValue
    postprocessor = DispBottom
    output_type = extreme_value
  []
  [PeakAcc]
    type = TimeExtremeValue
    postprocessor = AccBottom
    output_type = extreme_value
  []
  [PeakPressure]
    type = TimeExtremeValue
    postprocessor = PSide
    output_type = extreme_value
  []
  [PeakWaveHeight]
    type = TimeExtremeValue
    postprocessor = Wave
    output_type = extreme_value
  []
  [AppliedAcc]
     type = FunctionValuePostprocessor
     function = groundmotion
  []

[]
[VectorPostprocessors]
  [accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '578'
    block = 1
  []
  [accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  []
[]

[Outputs]
  [accout]
    type = CSV
    show = 'AppliedAcc PSide Wave DispBottom AccBottom'
  []
  [out]
    type = CSV
    execute_on = FINAL
  []
[]

(examples/ex09/SSI_Response.i)

[Mesh]
  type = FileMesh
  file = Full_3D_Str_red.e
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
  [./rot_x]
    block = '3 4 6'
  [../]
  [./rot_y]
    block = '3 4 6'
  [../]
  [./rot_z]
    block = '3 4 6'
  [../]
[]

[AuxVariables]
  [./stress_x]
  [../]
  [./stress_y]
  [../]
  [./stress_z]
  [../]
  [./vel_x]
  [../]
  [./vel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_x]
  [../]
  [./accel_y]
  [../]
  [./accel_z]
  [../]
  [./rot_vel_x]
    block = '3 4 6'
  [../]
  [./rot_vel_y]
    block = '3 4 6'
  [../]
  [./rot_vel_z]
    block = '3 4 6'
  [../]
  [./rot_accel_x]
    block = '3 4 6'
  [../]
  [./rot_accel_y]
    block = '3 4 6'
  [../]
  [./rot_accel_z]
    block = '3 4 6'
  [../]
  [./layer_id]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  displacements = 'disp_x disp_y disp_z'
  rotations = 'rot_x rot_y rot_z'

  # dynamic simulation using consistent mass/inertia matrix
  dynamic_nodal_translational_inertia = true

  velocities = 'vel_x vel_y vel_z'
  accelerations = 'accel_x accel_y accel_z'
  rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
  rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

  beta = 0.25 # Newmark time integration parameter
  gamma = 0.5 # Newmark time integration parameter

  [./block_3]
    block = 3
    area = 500
    Iy = 1e3
    Iz = 1e3
    y_orientation = '0.0 1.0 0.0'
    nodal_mass = 0.1
    boundary = 'B0'
  [../]
  [./block_4]
    block = 4
    area = 500
    Iy = 1e3
    Iz = 1e3
    y_orientation = '1.0 0.0 0.0'
    nodal_mass = 0.1
    boundary = 'B0'
  [../]
  [./block_6]
    block = 6
    area = 500
    Iy = 1e3
    Iz = 1e3
    y_orientation = '0.0 1.0 0.0'
    nodal_mass = 166.0
    density = 2.7
    boundary = 'B1'
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    block = '1 2'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
    block = '1 2'
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
    block = '1 2'
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
    block = '1 2'
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = 'timestep_end'
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = 'timestep_end'
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = 'timestep_end'
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = 'timestep_end'
  [../]
  [./layer_id]
    type = UniformLayerAuxKernel
    block = '1'
    variable = layer_id
    interfaces = '29.6'
    direction = '0.0 0.0 1.0'
    execute_on = initial
  [../]
[]

[Materials]
  [./elastic_soil]
    type = ComputeIsotropicElasticityTensorSoil
    layer_variable = layer_id
    layer_ids = '0'
    poissons_ratio = '0.3'
    density = '1.7'
    shear_modulus = '46282.5'
    block = '1'
  [../]
  [./elasticity_base]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 1e10
    poissons_ratio = 0
    block = '2'
  [../]
  [./stress_beam2]
    type = ComputeFiniteStrainElasticStress
    block = '1 2'
  [../]
  [./strain_15]
    type = ComputeFiniteStrain
    block = '1 2'
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./density]
    type = GenericConstantMaterial
    block = '2'
    prop_names = density
    prop_values =  2.7
  [../]
  [./elasticity_beam_rigid]
    type = ComputeElasticityBeam
    youngs_modulus = 1e10
    poissons_ratio = 0.3
    shear_coefficient = 0.85
    block = '3 4 6'
  [../]
  [./stress_beam]
    type = ComputeBeamResultants
    block = '3 4 6'
  [../]
[]

[BCs]
  [./disp_x]
    type = PresetAcceleration
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    function = accel_bottom
    boundary = 'NZ'
  [../]
  [./disp_y]
    type = DirichletBC
    boundary = 'NZ'
    variable = disp_y
    value = 0.0
  [../]
  [./disp_z]
    type = DirichletBC
    boundary = 'NZ'
    variable = disp_z
    value = 0.0
  [../]
  [./Periodic]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'NX'
      secondary = 'PX'
      translation = '75.0 0.0 0.0'
    [../]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'NY'
      secondary = 'PY'
      translation = '0.0 75.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom]
    type = PiecewiseLinear
    data_file = Ormsby_USE1.csv
    format = 'columns'
    scale_factor = 1
  [../]
[]

[Preconditioning]
  [./smp]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  nl_abs_tol = 1e-7
  nl_rel_tol = 1e-7
  l_tol = 1e-7
  l_max_its = 12
  start_time = 0.0
  end_time = 3.0
  dt = 0.001
  timestep_tolerance = 1e-6
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes =  '23935 2331 104 5'
    outputs = out
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.001
    damping_ratio = 0.01
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out
  [../]
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = true
  print_linear_residuals = true
  [./out]
    execute_on = 'FINAL'
    type = CSV
    file_base = SSI_NoDamp_RigidStr
  [../]
  [./out2]
    type = Exodus
    file_base = Exod_SSI_NoDamp_RigidStr
    interval = 10
  [../]
[]

(examples/ex11a/dynamic/3d_beam_dynamic_first_order.i)

[Mesh]
  [mesh_gen]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 20
    ny = 2
    nz = 2
    xmin = 0.0
    xmax = 5.0
    ymin = 0.0
    ymax = 1.0
    zmin = 0.0
    zmax = 1.0
    # elem_type = 'HEX8'
    elem_type = 'HEX20'
  []
  [nodeset_gen]
    type = ExtraNodesetGenerator
    new_boundary = 'base_node end_node'
    coord = '0.0 0.0 0.5; 5.0 0.0 0.5'
    input = 'mesh_gen'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    # order = FIRST
    order = SECOND
    family = LAGRANGE
  [../]
  [./disp_y]
    # order = FIRST
    order = SECOND
    family = LAGRANGE
  [../]
  [./disp_z]
    # order = FIRST
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Kernels]
  [DynamicTensorMechanics]
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
  []
  [inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
  []
[]

[AuxVariables]
  [vel_x]
    # order = FIRST
    order = SECOND
  []
  [accel_x]
    # order = FIRST
    order = SECOND
  []
  [vel_y]
    order = SECOND
  []
  [accel_y]
    order = SECOND
  []
  [vel_z]
    order = SECOND
  []
  [accel_z]
    order = SECOND
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0.0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'left'
    value = 0.0
  []
  [y_motion]
    type = PresetAcceleration
    acceleration = accel_y
    velocity = vel_y
    variable = disp_y
    beta = 0.25
    boundary = 'left'
    function = 'ormsby'
  []
[]

[Functions]
  [ormsby]
    type = OrmsbyWavelet
    f1 = 0.0
    f2 = 0.1
    f3 = 45.0
    f4 = 50.0
    ts = 1.5
    scale_factor = 0.5
  []
[]


[Materials]
  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 10e9
    poissons_ratio = 0.3
  []
  [strain_1]
    type = ComputeSmallStrain
  []
  [stress_1]
    type = ComputeLinearElasticStress
  []
  [den_1]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 1200
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  dt = 0.01
  end_time = 3.0
  timestep_tolerance = 1e-6
[]

[VectorPostprocessors]
  [accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_y'
    boundary = 'base_node end_node'
  []
  [accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 100
    outputs = 2_2
  []
[]

[Outputs]
  perf_graph = true
  [./2_2]
    type = CSV
    execute_on = 'final'
  [../]
[]

(examples/ex11a/dynamic/3d_beam_dynamic_second_order.i)

[Mesh]
  [mesh_gen]
    type = GeneratedMeshGenerator
    dim = 3
    nx = 20
    ny = 2
    nz = 2
    xmin = 0.0
    xmax = 5.0
    ymin = 0.0
    ymax = 1.0
    zmin = 0.0
    zmax = 1.0
    # elem_type = 'HEX8'
    elem_type = 'HEX20'
  []
  [nodeset_gen]
    type = ExtraNodesetGenerator
    new_boundary = 'base_node end_node'
    coord = '0.0 0.0 0.5; 5.0 0.0 0.5'
    input = 'mesh_gen'
  []
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
    # order = FIRST
    order = SECOND
    family = LAGRANGE
  [../]
  [./disp_y]
    # order = FIRST
    order = SECOND
    family = LAGRANGE
  [../]
  [./disp_z]
    # order = FIRST
    order = SECOND
    family = LAGRANGE
  [../]
[]

[Kernels]
  [DynamicTensorMechanics]
  []
  [inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
  []
  [inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
  []
  [inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
  []
[]

[AuxVariables]
  [vel_x]
    # order = FIRST
    order = SECOND
  []
  [accel_x]
    # order = FIRST
    order = SECOND
  []
  [vel_y]
    order = SECOND
  []
  [accel_y]
    order = SECOND
  []
  [vel_z]
    order = SECOND
  []
  [accel_z]
    order = SECOND
  []
[]

[AuxKernels]
  [accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  []
  [accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  []
  [vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  []
[]

[BCs]
  [fix_x]
    type = DirichletBC
    variable = disp_x
    boundary = 'left'
    value = 0.0
  []
  [fix_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'left'
    value = 0.0
  []
  [y_motion]
    type = PresetAcceleration
    acceleration = accel_y
    velocity = vel_y
    variable = disp_y
    beta = 0.25
    boundary = 'left'
    function = 'ormsby'
  []
[]

[Functions]
  [ormsby]
    type = OrmsbyWavelet
    f1 = 0.0
    f2 = 0.1
    f3 = 45.0
    f4 = 50.0
    ts = 1.5
    scale_factor = 0.5
  []
[]


[Materials]
  [elasticity]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 10e9
    poissons_ratio = 0.3
  []
  [strain_1]
    type = ComputeSmallStrain
  []
  [stress_1]
    type = ComputeLinearElasticStress
  []
  [den_1]
    type = GenericConstantMaterial
    prop_names = density
    prop_values = 1200
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  solve_type = NEWTON
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  line_search = 'none'
  nl_rel_tol = 1e-8
  nl_abs_tol = 1e-10
  dt = 0.01
  end_time = 3.0
  timestep_tolerance = 1e-6
[]

[VectorPostprocessors]
  [accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_y'
    boundary = 'base_node end_node'
  []
  [accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 100
    outputs = 2_2
  []
[]

[Outputs]
  perf_graph = true
  [./2_2]
    type = CSV
    execute_on = 'final'
  [../]
[]

(examples/ex09/Soil_Response.i)

[Mesh]
  type = GeneratedMesh
  nx = 1
  ny = 1
  nz = 15
  xmin = 0
  ymin = 0
  zmin = 0.0
  xmax = 1
  ymax = 1
  zmax = 29.47
  dim = 3
[]

[GlobalParams]
  displacements = 'disp_x disp_y disp_z'
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./layer_id]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    beta = 0.25
    gamma = 0.5
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    beta = 0.25
    gamma = 0.5
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    beta = 0.25
    gamma = 0.5
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./layer_id]
    type = UniformLayerAuxKernel
    variable = layer_id
    interfaces = '29.8'
    direction = '0.0 0.0 1.0'
    execute_on = initial
  [../]
[]

[BCs]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_y]
    type = DirichletBC
    variable = disp_y
    boundary = 'back'
    value = 0.0
  [../]
  [./bottom_accel]
    type = PresetAcceleration
    boundary = 'back'
    function = accel_bottom
    variable = 'disp_x'
    beta = 0.25
    acceleration = 'accel_x'
    velocity = 'vel_x'
  [../]
  [./Periodic]
    [./y_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
    [./x_dir]
      variable = 'disp_x disp_y disp_z'
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom]
    type = PiecewiseLinear
    data_file = Ormsby_USE1.csv
    scale_factor = 1.0
    format = 'columns'
  [../]
  [./initial_zz]
    type = ParsedFunction
    value = '-1.7 * 9.81 * (29.47 - z)'
  [../]
  [./initial_xx]
    type = ParsedFunction
    value = '-1.7 * 9.81 * (29.47 - z) * 0.3/0.7'
  [../]
[]

[Materials]
  [./elastic_soil]
    type = ComputeIsotropicElasticityTensorSoil
    layer_variable = layer_id
    layer_ids = '0'
    poissons_ratio = '0.3'
    density = '1.7'
    shear_modulus = '46282.5'
  [../]
  [./stress_beam2]
    type = ComputeFiniteStrainElasticStress
  [../]
  [./strain_15]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
  [../]
[]

[Preconditioning]
  [./andy]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  solve_type = 'NEWTON'
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'
  start_time = 0.0
  end_time = 4.0
  dt = 0.001
  dtmin = 0.0001
  nl_abs_tol = 1e-4
  nl_rel_tol = 1e-5
  l_tol = 1e-5
  l_max_its = 25
  timestep_tolerance = 1e-8
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '3 63'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.001
    damping_ratio = 0.01
    start_frequency = 0.1
    end_frequency = 1000
    outputs = out
  [../]
[]

[Outputs]
  csv = true
  exodus = true
  perf_graph = true
  print_linear_residuals = true
  [./out]
    execute_on = 'FINAL'
    type = CSV
    file_base = Soil_Final_NoDamp
  [../]
  [./out2]
    type = Exodus
    file_base = Exod_Soil_Final_NoDamp
    interval = 10
  [../]
[]

(examples/ex14/basemat_with_isolators_new_3D.i)

[Mesh]
  [mesh_gen]
    type = FileMeshGenerator
    file = basemat_with_isolators_new.e
  []
[]

[Variables]
  [disp_x]
  []
  [disp_y]
  []
  [disp_z]
  []
  [rot_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_z]
    block = 'isolator_elems upper_rigid_elems'
  []
[]

[AuxVariables]
  [vel_x]
  []
  [accel_x]
  []
  [vel_y]
  []
  [accel_y]
  []
  [vel_z]
  []
  [accel_z]
  []
  [rot_vel_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_vel_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_vel_z]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_x]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_y]
    block = 'isolator_elems upper_rigid_elems'
  []
  [rot_accel_z]
    block = 'isolator_elems upper_rigid_elems'
  []
  [Fb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Fb_y]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Fb_z]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Velb_x]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_y]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
  [Defb_z]
    block = 'isolator_elems'
    order = CONSTANT
    family = MONOMIAL
  []
[]

[Physics/SolidMechanics/LineElement/QuasiStatic]
  displacements = 'disp_x disp_y disp_z'
  rotations = 'rot_x rot_y rot_z'

  velocities = 'vel_x vel_y vel_z'
  accelerations = 'accel_x accel_y accel_z'
  rotational_velocities = 'rot_vel_x rot_vel_y rot_vel_z'
  rotational_accelerations = 'rot_accel_x rot_accel_y rot_accel_z'

  beta = 0.275625
  gamma = 0.55
  alpha = -0.05

  [rigid_beams]
    block = 'upper_rigid_elems'
    area = 130.06
    Iy = 24166.729
    Iz = 24166.729
    y_orientation = '0.0 0.0 1.0'
  []
[]

[Kernels]
  [DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    block = 'upper_basemat'
    hht_alpha = -0.05
    static_initialization = true
    stiffness_damping_coefficient = 0.0019
  []
  [inertia_x]
    type = InertialForce
    block = 'upper_basemat'
    variable = disp_x
    eta = 0.038
    alpha = -0.05
  []
  [inertia_y]
    type = InertialForce
    block = 'upper_basemat'
    variable = disp_y
    eta = 0.038
    alpha = -0.05
  []
  [inertia_z]
    type = InertialForce
    block = 'upper_basemat'
    variable = disp_z
    eta = 0.038
    alpha = -0.05
  []
  [lr_disp_x]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 0
    variable = disp_x
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_disp_y]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 1
    variable = disp_y
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_disp_z]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 2
    variable = disp_z
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_x]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 3
    variable = rot_x
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_y]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 4
    variable = rot_y
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [lr_rot_z]
    type = StressDivergenceIsolator
    block = 'isolator_elems'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    component = 5
    variable = rot_z
    static_initialization = true
    zeta = 0.0019
    alpha = -0.05
  []
  [gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    block = 'upper_basemat'
    alpha = -0.05
  []
[]

[AuxKernels]
  [Fb_x]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 0
    column = 0
    variable = Fb_x
    block = 'isolator_elems'
  []
  [Fb_y]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 1
    column = 0
    variable = Fb_y
    block = 'isolator_elems'
  []
  [Fb_z]
    type = MaterialRealCMMAux
    property = basic_forces
    row = 2
    column = 0
    variable = Fb_z
    block = 'isolator_elems'
  []
  [Defb_x]
    type = MaterialRealCMMAux
    property = deformations
    row = 0
    column = 0
    variable = Defb_x
    block = 'isolator_elems'
  []
  [Velb_x]
    type = MaterialRealCMMAux
    property = deformation_rates
    row = 0
    column = 0
    variable = Velb_x
    block = 'isolator_elems'
  []
  [Defb_y]
    type = MaterialRealCMMAux
    property = deformations
    row = 1
    column = 0
    variable = Defb_y
    block = 'isolator_elems'
  []
  [Defb_z]
    type = MaterialRealCMMAux
    property = deformations
    row = 2
    column = 0
    variable = Defb_z
    block = 'isolator_elems'
  []
  [accel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = accel_x
    first = false
  []
  [vel_x]
    type = TestNewmarkTI
    displacement = disp_x
    variable = vel_x
  []
  [accel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = accel_y
    first = false
  []
  [vel_y]
    type = TestNewmarkTI
    displacement = disp_y
    variable = vel_y
  []
  [accel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = accel_z
    first = false
  []
  [vel_z]
    type = TestNewmarkTI
    displacement = disp_z
    variable = vel_z
  []
  [rot_accel_x]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_x
    variable = rot_accel_x
    first = false
  []
  [rot_vel_x]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_x
    variable = rot_vel_x
  []
  [rot_accel_y]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_y
    variable = rot_accel_y
    first = false
  []
  [rot_vel_y]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_y
    variable = rot_vel_y
  []
  [rot_accel_z]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_z
    variable = rot_accel_z
    first = false
  []
  [rot_vel_z]
    block = 'isolator_elems upper_rigid_elems'
    type = TestNewmarkTI
    displacement = rot_z
    variable = rot_vel_z
  []
[]

[Materials]
  [elasticity_concrete]
    type = ComputeIsotropicElasticityTensor
    block = 'upper_basemat'
    youngs_modulus = 99.2 #GPa # concrete x 4 making basemat rigid
    poissons_ratio = 0.2
  []
  [strain_1]
    type = ComputeFiniteStrain
    displacements = 'disp_x disp_y disp_z'
    block = 'upper_basemat'
  []
  [stress_1]
    type = ComputeFiniteStrainElasticStress
    block = 'upper_basemat'
  []
  [concrete_density]
    type = GenericConstantMaterial
    block = 'upper_basemat'
    prop_names = density
    prop_values = 11.04e-6 # e9kg/m3 # total wt of 75,000 tons
  []

  [isolator_deformation]
    type = ComputeIsolatorDeformation
    sd_ratio = 0.5
    y_orientation = '1.0 0.0 0.0'
    displacements = 'disp_x disp_y disp_z'
    rotations = 'rot_x rot_y rot_z'
    velocities = 'vel_x vel_y vel_z'
    block = 'isolator_elems'
  []
  [elasticity]
    type = ComputeFPIsolatorElasticity
    mu_ref = 0.06
    p_ref = 0.1 # GPa
    block = 'isolator_elems'
    diffusivity = 4.4e-6
    conductivity = 18
    a = 100
    r_eff = 1.0 # meters. 2sec sliding period
    r_contact = 0.2
    uy = 0.001
    unit = 4
    beta = 0.275625
    gamma = 0.55
    pressure_dependent = true
    temperature_dependent = true
    velocity_dependent = true
    k_x = 78.53 # 7.853e10 N
    k_xx = 0.62282 # 622820743.6 N
    k_yy = 0.3114 # 311410371.8 N
    k_zz = 0.3114 # 311410371.8 N
  []

  [elasticity_beam_rigid]
    type = ComputeElasticityBeam
    youngs_modulus = 2e4
    poissons_ratio = 0.27
    shear_coefficient = 0.85
    block = 'upper_rigid_elems'
  []
  [stress_beam_rigid]
    type = ComputeBeamResultants
    block = 'upper_rigid_elems'
  []
[]

[Functions]
  [input_motion_x]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 1
    xy_in_file_only = false
  []
  [input_motion_y]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 2
    xy_in_file_only = false
  []
  [input_motion_z]
    type = PiecewiseLinear
    data_file = 'case2_scaled.csv'
    format = columns
    scale_factor = 9.81
    y_index_in_file = 3
    xy_in_file_only = false
  []
[]

[BCs]
  [x_motion]
    type = PresetAcceleration
    acceleration = accel_x
    velocity = vel_x
    variable = disp_x
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_x'
  []
  [y_motion]
    type = PresetAcceleration
    acceleration = accel_y
    velocity = vel_y
    variable = disp_y
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_y'
  []
  [z_motion]
    type = PresetAcceleration
    acceleration = accel_z
    velocity = vel_z
    variable = disp_z
    beta = 0.2725625
    boundary = 'bottom_isolators'
    function = 'input_motion_z'
  []
  [fixrxbot]
    type = DirichletBC
    variable = rot_x
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrybot]
    type = DirichletBC
    variable = rot_y
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrzbot]
    type = DirichletBC
    variable = rot_z
    boundary = 'bottom_isolators'
    value = 0.0
  []
  [fixrxcon]
    type = DirichletBC
    variable = rot_x
    boundary = 'connections'
    value = 0.0
  []
  [fixrycon]
    type = DirichletBC
    variable = rot_y
    boundary = 'connections'
    value = 0.0
  []
  [fixrzcon]
    type = DirichletBC
    variable = rot_z
    boundary = 'connections'
    value = 0.0
  []
[]

[Preconditioning]
  [smp]
    type = SMP
    full = true
  []
[]

[Executioner]
  type = Transient
  petsc_options = '-ksp_snes_ew'
  petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
  petsc_options_value = 'lu       superlu_dist'
  solve_type = 'NEWTON'
  nl_rel_tol = 1e-7
  nl_abs_tol = 1e-15
  dt = 0.01
  end_time = 28
  timestep_tolerance = 1e-6
  automatic_scaling = true
  [TimeIntegrator]
    type = NewmarkBeta
    beta = 0.275625
    gamma = 0.55
    inactive_tsteps = 2
  []
[]

[Controls]
  [inertia_switch]
    type = TimePeriod
    start_time = 0.0
    end_time = 0.03
    disable_objects = '*/inertia_x */inertia_y */inertia_z
                       */vel_x */vel_y */vel_z
                       */accel_x */accel_y */accel_z
                       */rot_vel_x */rot_vel_y */rot_vel_z
                       */rot_accel_x */rot_accel_y */rot_accel_z'
    set_sync_times = true
    execute_on = 'timestep_begin timestep_end'
  []
[]

[Postprocessors]
  [inp_accel_x]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_x
  []
  [inp_accel_y]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_y
  []
  [inp_accel_z]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = accel_z
  []
  [basemat_accel_x]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_x
  []
  [basemat_accel_y]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_y
  []
  [basemat_accel_z]
    type = PointValue
    point = '0.0 0.0 0.0'
    variable = accel_z
  []
  [iso1_fb_axial]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_x
  []
  [iso1_defb_axial]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_x
  []
  [iso1_fb_shear1]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_y
  []
  [iso1_defb_shear1]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_y
  []
  [iso1_fb_shear2]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Fb_z
  []
  [iso1_defb_shear2]
    type = PointValue
    point = '5.0 0.0 -1.3'
    variable = Defb_z
  []
[]

[VectorPostprocessors]
  [accel_hist_x]
    type = ResponseHistoryBuilder
    variables = 'accel_x'
    nodes = '7943 4568 8640 564 8588'
    # locations:
    # 7943-basemat_center-(0.35,-0.75,-1)(approx)
    # 4568-center_isolator_top-(5,0,-1)
    # 8640-center_isolator_bottom-(5,0,-1.3)
    # 564-edge_isolator_top-(-45,30,-1)
    # 8588-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_x]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_x
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []

  [accel_hist_y]
    type = ResponseHistoryBuilder
    variables = 'accel_y'
    nodes = '7943 4568 8640 564 8588'
    # locations:
    # 7943-basemat_center-(0.35,-0.75,-1)(approx)
    # 4568-center_isolator_top-(5,0,-1)
    # 8640-center_isolator_bottom-(5,0,-1.3)
    # 564-edge_isolator_top-(-45,30,-1)
    # 8588-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_y]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_y
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []

  [accel_hist_z]
    type = ResponseHistoryBuilder
    variables = 'accel_z'
    nodes = '7943 4568 8640 564 8588'
    # locations:
    # 7943-basemat_center-(0.35,-0.75,-1)(approx)
    # 4568-center_isolator_top-(5,0,-1)
    # 8640-center_isolator_bottom-(5,0,-1.3)
    # 564-edge_isolator_top-(-45,30,-1)
    # 8588-edge_isolator_bottom(-45,30,-1.3)
    outputs = out1
  []
  [accel_spec_z]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist_z
    regularize_dt = 0.01
    damping_ratio = 0.05
    start_frequency = 0.1
    end_frequency = 50
    outputs = out1
  []
[]

[Outputs]
  exodus = true
  perf_graph = true
  csv = true
  [out1]
    type = CSV
    execute_on = 'final'
  []
[]

(test/tests/vectorpostprocessors/response_spectra_calculator/response_spectra_calculator.i)

#@requirement F8.2
[Mesh]
  type = GeneratedMesh
  dim = 3
  nx = 1
  ny = 1
  nz = 4
  xmin = 0.0
  xmax = 1.0
  ymin = 0.0
  ymax = 1.0
  zmin = 0.0
  zmax = 4.0
[]

[Controls]
   [./period0]
      type = TimePeriod
      disable_objects = 'Kernels/inertia_x Kernels/inertia_y Kernels/inertia_z AuxKernels/accel_x AuxKernels/accel_y AuxKernels/accel_z AuxKernels/vel_x AuxKernels/vel_y AuxKernels/vel_z'
      start_time = 0.0
      end_time = 0.005 # same as dt used in the analysis
   [../]
[]

[Variables]
  [./disp_x]
  [../]
  [./disp_y]
  [../]
  [./disp_z]
  [../]
[]

[AuxVariables]
  [./vel_x]
  [../]
  [./accel_x]
  [../]
  [./vel_y]
  [../]
  [./accel_y]
  [../]
  [./vel_z]
  [../]
  [./accel_z]
  [../]
  [./stress_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./strain_zx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./layer_id]
    family = MONOMIAL
    order = CONSTANT
  [../]
[]

[Kernels]
  [./DynamicTensorMechanics]
    displacements = 'disp_x disp_y disp_z'
    stiffness_damping_coefficient = 0.000781
    static_initialization = True
    use_displaced_mesh = True
  [../]
  [./inertia_x]
    type = InertialForce
    variable = disp_x
    velocity = vel_x
    acceleration = accel_x
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./inertia_y]
    type = InertialForce
    variable = disp_y
    velocity = vel_y
    acceleration = accel_y
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./inertia_z]
    type = InertialForce
    variable = disp_z
    velocity = vel_z
    acceleration = accel_z
    eta = 0.64026
    beta = 0.25
    gamma = 0.5
    use_displaced_mesh = True
  [../]
  [./gravity]
    type = Gravity
    variable = disp_z
    value = -9.81
    use_displaced_mesh = True
  [../]
[]

[AuxKernels]
  [./accel_x]
    type = NewmarkAccelAux
    variable = accel_x
    displacement = disp_x
    velocity = vel_x
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_x]
    type = NewmarkVelAux
    variable = vel_x
    acceleration = accel_x
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_y]
    type = NewmarkAccelAux
    variable = accel_y
    displacement = disp_y
    velocity = vel_y
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_y]
    type = NewmarkVelAux
    variable = vel_y
    acceleration = accel_y
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./accel_z]
    type = NewmarkAccelAux
    variable = accel_z
    displacement = disp_z
    velocity = vel_z
    beta = 0.25
    execute_on = timestep_end
  [../]
  [./vel_z]
    type = NewmarkVelAux
    variable = vel_z
    acceleration = accel_z
    gamma = 0.5
    execute_on = timestep_end
  [../]
  [./stress_zx]
    type = RankTwoAux
    rank_two_tensor = stress
    variable = stress_zx
    index_i = 2
    index_j = 0
  [../]
  [./strain_zx]
    type = RankTwoAux
    rank_two_tensor = total_strain
    variable = strain_zx
    index_i = 2
    index_j = 0
  [../]
  [./layer_id]
     type = UniformLayerAuxKernel
     variable = layer_id
     interfaces = '20'
     direction = '0 0 1'
     execute_on = initial
  [../]
[]

[Materials]
   [./elasticity_tensor]
      type = ComputeIsotropicElasticityTensorSoil
      block = 0
      layer_variable = layer_id
      layer_ids = '0'
      poissons_ratio = '0.3'
      density = '2000.0'
      shear_modulus = '325e7'
   [../]
   [./stress1]
     #Computes the stress, using linear elasticity
     type = ComputeLinearElasticStress
     block = 0
    [../]
    [./strain1]
      #Computes the strain, assuming small strains
      type = ComputeSmallStrain
      block = 0
      displacements = 'disp_x disp_y disp_z'
  [../]
[]

[BCs]
  [./bottom_accel_x]
    type = PresetAcceleration
    boundary = back
    function = accel_bottom_x
    variable = disp_x
    beta = 0.25
    acceleration = accel_x
    velocity = vel_x
  [../]
  [./bottom_z]
    type = DirichletBC
    variable = disp_z
    boundary = back
    value = 0.0
  [../]
  [./bottom_accel_y]
    type = PresetAcceleration
    boundary = back
    function = accel_bottom_y
    variable = disp_y
    beta = 0.25
    acceleration = accel_y
    velocity = vel_y
  [../]
  [./Periodic]
    [./x_dir]
      primary = 'left'
      secondary = 'right'
      translation = '1.0 0.0 0.0'
    [../]
    [./y_dir]
      primary = 'bottom'
      secondary = 'top'
      translation = '0.0 1.0 0.0'
    [../]
  [../]
[]

[Functions]
  [./accel_bottom_x]
    type = PiecewiseLinear
    data_file = 'accel.csv'
    format = columns
    scale_factor = 1.0
  [../]
  [./accel_bottom_y]
    type = PiecewiseLinear
    data_file = 'accel.csv'
    format = columns
    scale_factor = 2.0
  [../]
[]

[Executioner]
  type = Transient
  solve_type = PJFNK
  nl_abs_tol = 1e-8
  nl_rel_tol = 1e-8
  l_tol = 1e-8
  start_time = 32
  end_time = 33
  dt = 0.005 # should be 0.005
  timestep_tolerance = 1e-6
  petsc_options = '-snes_ksp_ew'
  petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
  petsc_options_value = '201                hypre    boomeramg      4'
  line_search = 'none'
[]

[Outputs]
  [./out]
    type = CSV
    execute_on = 'final'
  [../]
[]

[VectorPostprocessors]
  [./accel_hist]
    type = ResponseHistoryBuilder
    variables = 'accel_x accel_y'
    nodes = '8 9'
  [../]
  [./accel_spec]
    type = ResponseSpectraCalculator
    vectorpostprocessor = accel_hist
    regularize_dt = 0.005
    outputs = out
  [../]
[]

Usage
Input Parameters
Input Files

Usage

Development

Demonstration

ResponseSpectraCalculator

Usage

Input Parameters

Required Parameters

Optional Parameters

Execution Scheduling Parameters

Advanced Parameters

Material Property Retrieval Parameters

Input Files