save$bdn = {{True, "g"}, {False, "F0"}, {False, "PL"}} save$bodypos = {{xg, yg, zg, pitchg, yawg, rollg}, {xF0, 0.5 + yg, zF0, pitchg, yawF0, rollg}, {xPL, yPL, zPL, pitchPL, yawPL, rollPL}} save$damp = {} save$FileName = "141022_Preisolator_Prototype" save$HL = {} save$initpos = {{0, 0, 0}, {0, 0.5, 0}, {0, -1.75, 0}} save$IP = {{1, 2, {{0.6, 0}, {-0.3, -0.5196}, {-0.3, 0.5196}}, {80., 80., 80., 120.}, {10, 10, 10, 1000}, "IP", 0.5, -80, True, 1050, True}} save$mass = {{0, {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}}, {730, {{80, 0, 0}, {0, 280, 0}, {0, 0, 80}}}, {320, {{30, 0, 0}, {0, 50, 0}, {0, 0, 30}}}} save$mat = {{"Maraging Steel", 8., 195, 0.3, 1., -3, "Virgo Data"}, {"C-70 Steel", 7.8, 200, 0.3, 3., -4, "LIGO-G050087-00"}, {"Tungsten", 19.3, 411, 0.28, 1., -4, "Wikipedia"}, {"Copper Beryllium", 8.4, 134, 0.3, 5., -6, "www.alb-copperalloys.com"}, {"Sapphire", 3.98, 345, 0.3, 2., -7, "www.crystalsystems.com"}, {"Bolfur", 7.6, 157, 0.3, 1., -3, "www.alb-copperalloys.com"}} save$shape = {{"Doughnut[y]", {1.5, 1, 0.2, 0.2, 0.2}}, {"Cylinder[y]", {1.4, 0.2, 0.2, 0.2, 0.2}}, {"Cylinder[y]", {0.8, 0.05, 0.2, 0.2, 0.2}}} save$vspr = {{1, 1, 500, 3139.2000000000003, True, -60, {0, 1, 0}, "GAS0", 20.}} save$wire = {{2, {0, 0.03, 0}, 3, {0, 0.22, 0}, 1, 2.7463971050496445, 0.004, 0.02, 0.0025, 3139.2000000000003, {0, -1, 0}, {0, 1, 0}, "F0-PL-1", 871299.342127734, 0.6342073574341877}} save$wire2 = {{1, 2, 3, {0.03, 0.22, 0.2, 0.05, 0.}, 1, {2.75, 0.004, 0.02, 0.0025, True, True}, 3139.2000000000003, {871299.342127734, 0.6342073574341877}}} calc$combif = False calc$combin = {xF0 + zF0, xF0 - zF0} calc$eigenIS = 150 calc$eigenP = {False, False, False, False, False, False, False, False, False} calc$eigenPA = 0.5 calc$eigenTA = 0.2 calc$legend = True calc$lgndpos = {0.35, 0.3} calc$maxx = 2.5 calc$maxz = 2.5 calc$psdline = {} calc$psdname = {} calc$psdplot = {} calc$psdsel = {} calc$psdshow = {} calc$sflag = 0 calc$sni = {False, False, False, False, False, False} calc$sno = {False, False, False, False, False, False, False, False, False} calc$tfFi = {False, False, False, False, False, False, False, False, False} calc$tfFo = {False, False, False, False, False, False, False, False, False} calc$tfGi = {False, False, False, False, False, False} calc$tfGo = {False, False, False, False, False, False, False, False, False} calc$tfk = 2 calc$tfline = {{Thickness[Large]}} calc$tfname = {"zF0/zg"} calc$tfplot = {{{0.01000000000000001, 1.0173999352274172 - 0.0017705863726724246*I}, {0.010092528860766855, 1.0177292224882446 - 0.0018046841847764313*I}, {0.01018591388054118, 1.0180648531952312 - 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1.7079344851008318*^-7*I}, {70.46930689671467, 0.0001421600149468835 - 1.6767608123806917*^-7*I}, {71.12135136533288, 0.00014219059841145477 - 1.646156136158918*^-7*I}, {71.77942912713615, 0.00014222062365437378 - 1.6161100706142696*^-7*I}, {72.44359600749898, 0.0001422501008647142 - 1.5866124195049177*^-7*I}, {73.11390834834172, 0.00014227904004556453 - 1.5576531727076216*^-7*I}, {73.79042301291008, 0.00014230745101742303 - 1.5292225028200988*^-7*I}, {74.47319739059888, 0.00014233534342153074 - 1.501310761825425*^-7*I}, {75.16228940182053, 0.00014236272672314403 - 1.473908477817336*^-7*I}, {75.85775750291836, 0.000142389610214747 - 1.4470063517853244*^-7*I}, {76.55966069112561, 0.0001424160030192054 - 1.4205952544584293*^-7*I}, {77.26805850957021, 0.0001424419140928627 - 1.394666223206652*^-7*I}, {77.98301105232578, 0.00014246735222858025 - 1.369210458998949*^-7*I}, {78.70457896950977, 0.00014249232605872123 - 1.3442193234167525*^-7*I}, {79.43282347242805, 0.00014251684405808062 - 1.3196843357220386*^-7*I}, {80.16780633876782, 0.0001425409145467614 - 1.295597169978905*^-7*I}, {80.90958991783813, 0.0001425645456929984 - 1.2719496522277102*^-7*I}, {81.65823713585914, 0.00014258774551593055 - 1.2487337577108003*^-7*I}, {82.41381150130013, 0.00014261052188832243 - 1.2259416081488944*^-7*I}, {83.176377110267, 0.00014263288253923623 - 1.2035654690671856*^-7*I}, {83.94599865193965, 0.00014265483505665507 - 1.1815977471702643*^-7*I}, {84.72274141405954, 0.00014267638689005802 - 1.1600309877649705*^-7*I}, {85.50667128846823, 0.00014269754535294854 - 1.138857872230286*^-7*I}, {86.29785477669694, 0.0001427183176253365 - 1.11807121553343*^-7*I}, {87.09635899560796, 0.0001427387107561749 - 1.0976639637912959*^-7*I}, {87.90225168308834, 0.00014275873166575247 - 1.0776291918764058*^-7*I}, {88.71560120379598, 0.0001427783871480419 - 1.0579601010665791*^-7*I}, {89.53647655495928, 0.0001427976838730059 - 1.0386500167375028*^-7*I}, {90.36494737223005, 0.00014281662838886062 - 1.0196923860974301*^-7*I}, {91.20108393559087, 0.0001428352271242983 - 1.0010807759632364*^-7*I}, {92.04495717531702, 0.00014285348639066865 - 9.828088705770702*^-8*I}, {92.89663867799354, 0.00014287141238412116 - 9.648704694628686*^-8*I}, {93.75620069258792, 0.0001428890111877076 - 9.472594853220043*^-8*I}, {94.6237161365792, 0.00014290628877344677 - 9.299699419673457*^-8*I}, {95.4992586021435, 0.00014292325100435103 - 9.129959722950359*^-8*I}, {96.38290236239695, 0.00014293990363641618 - 8.963318162932956*^-8*I}, {97.2747223776964, 0.00014295625232057477 - 8.799718190875802*^-8*I}, {98.17479430199833, 0.00014297230260461422 - 8.639104290214217*^-8*I}, {99.08319448927665, 0.00014298805993505907 - 8.481421957723041*^-8*I}, {99.9999999999999, 0.00014300352965901982 - 8.326617685019398*^-8*I}}} calc$tfsel = {False} calc$tfshow = {True} calc$tnb = {False, False, False, False, False, False, False, False, False} calc$tnT = 300 calc$xrange = {0.01, 100} calc$ybottom = -2.5 calc$yrange = Automatic calc$ytop = 1. matKff = {{871799.342127734}} matKffc = {{871799.342127734 + 896.2993421277339*I}} matKfp = {{0}, {871299.3421277341}, {0}, {0}, {0}, {0}} matKfpc = {{0}, {871299.3421277341 + 871.2993421277339*I}, {0}, {0}, {0}, {0}} matKfv = {{0}, {0}, {0}, {0}, {-871299.3421277341}, {0}, {0}, {0}, {0}} matKfvc = {{0}, {0}, {0}, {0}, {-871299.3421277341 - 871.2993421277339*I}, {0}, {0}, {0}, {0}} matKpv = {{-240., 0, 0, 0, 0, 10398.538173529027}, {0, 0, -240., -10398.538173529027, 0, 0}, {0, 0, 0, 0, -206.3974656, 0}, {0, 0, 0, 0, 0, 21.961826470972778}, {0, -499.7132367643062, 0, 0, 0, 0}, {0, 0, 0, -21.961826470972778, 0, 0}, {0, 0, 0, -5.0712870330112185, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, -5.0712870330112185}} matKpvc = {{-240. - 24.*I, 0, 0, 0, 0, 10398.538173529027 + 11.9999563637012*I}, {0, 0, -240. - 24.*I, -10398.538173529027 - 11.9999563637012*I, 0, 0}, {0, 0, 0, 0, -206.3974656 - 8.75974656*I, 0}, {0, 0, 0, 0, 0, 21.961826470972778 + 0.00004363629879970963*I}, {0, -499.71392449270934 - 24.971617791485528*I, 0, 0, 0, 0}, {0, 0, 0, -21.961826470972778 - 0.00004363629879970963*I, 0, 0}, {0, 0, 0, -5.0712870330112185 - 0.000010076220052282771*I, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, -5.0712870330112185 - 0.000010076220052282771*I}} matKvv = {{1390.6603520662907, 0, 0, -1150.6603520662907, 0, 0, 0, 0, 265.7032615455063}, {0, 1390.6603520662907, 0, 0, 0, -1150.6603520662907, -265.7032615455063, 0, 0}, {0, 0, 207.03167295743424, 0, 0, 0, 0, -0.6342073574341877, 0}, {-1150.6603520662907, 0, 0, 1150.6603520662907, 0, 0, 0, 0, -265.7032615455063}, {0, 0, 0, 0, 499.7132367643062, 0, 0, 0, 0}, {0, -1150.6603520662907, 0, 0, 0, 1150.6603520662907, 265.7032615455063, 0, 0}, {0, -265.7032615455063, 0, 0, 0, 265.7032615455063, 786.2388759768215, 0, 0}, {0, 0, -0.6342073574341877, 0, 0, 0, 0, 0.6342073574341877, 0}, {265.7032615455063, 0, 0, -265.7032615455063, 0, 0, 0, 0, 786.2388759768215}} matKvvc = {{1390.6603520662907 + 24.002286265170437*I, 0, 0, -1150.6603520662907 - 0.0022862651704359687*I, 0, 0, 0, 0, 265.7032615455063 + 0.0005279299938090965*I}, {0, 1390.6603520662907 + 24.002286265170437*I, 0, 0, 0, -1150.6603520662907 - 0.0022862651704359687*I, -265.7032615455063 - 0.0005279299938090965*I, 0, 0}, {0, 0, 207.03167295743424 + 8.760380767357432*I, 0, 0, 0, 0, -0.6342073574341877 - 0.0006342073574341876*I, 0}, {-1150.6603520662907 - 0.0022862651704359687*I, 0, 0, 1150.6603520662907 + 0.0022862651704359687*I, 0, 0, 0, 0, -265.7032615455063 - 0.0005279299938090965*I}, {0, 0, 0, 0, 499.71392449270934 + 24.971617791485528*I, 0, 0, 0, 0}, {0, -1150.6603520662907 - 0.0022862651704359687*I, 0, 0, 0, 1150.6603520662907 + 0.0022862651704359687*I, 265.7032615455063 + 0.0005279299938090965*I, 0, 0}, {0, -265.7032615455063 - 0.0005279299938090965*I, 0, 0, 0, 265.7032615455063 + 0.0005279299938090965*I, 786.2388759768215 + 0.7250062539018093*I, 0, 0}, {0, 0, -0.6342073574341877 - 0.0006342073574341876*I, 0, 0, 0, 0, 0.6342073574341877 + 0.0006342073574341876*I, 0}, {265.7032615455063 + 0.0005279299938090965*I, 0, 0, -265.7032615455063 - 0.0005279299938090965*I, 0, 0, 0, 0, 786.2388759768215 + 0.7250062539018093*I}} matGpv = {{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}} matGvv = {{0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0}} matMpv = {{-21/200, 0, 0, 0, 0, 0}, {0, 0, -21/200, 0, 0, 0}, {0, 0, 0, 0, -0.037798891200000004, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}} matMvv = {{730, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 730, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 280, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 320, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 320, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 320, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 30., 0, 0}, {0, 0, 0, 0, 0, 0, 0, 50., 0}, {0, 0, 0, 0, 0, 0, 0, 0, 30}} allvars = {xF0, zF0, yawF0, xPL, yPL, zPL, pitchPL, yawPL, rollPL} allparams = {xg, yg, zg, pitchg, yawg, rollg} allfloats = {hGAS0} subdefparams = {xg -> 0, yg -> 0, zg -> 0, pitchg -> 0, yawg -> 0, rollg -> 0} subminvars = {xF0 -> 0., zF0 -> 0., yawF0 -> 0., xPL -> 0., yPL -> -2.4400000000000817, zPL -> 0., pitchPL -> 0., yawPL -> 0., rollPL -> 0., hGAS0 -> -8.133517032096064*^-14} eigenf = {0.017896699349674923, 0.07526486207880256, 0.07526486207880262, 0.13685829373225916, 0.19888662094956752, 0.3480935329270694, 0.34809353292706946, 0.8224105632120817, 0.822410563212082} eigenv = {{4.5970744743132*^-18, 1.9935059670525284*^-17, 0.0031166180038644017, 4.5177117522149884*^-18, 0., 1.9838450577555743*^-17, -3.1387494445102742*^-18, 0.9999951433343154, 2.3829358622542814*^-18}, {-0.6818931363189714, 1.0741587727288521*^-16, 0., -0.7312582524973428, 0., 0., 0., 0., -0.016826134303791148}, {-0.3901519779613566, 0.5592492140823843, -5.833218801728506*^-16, -0.41839672291252805, 0., 0.5997356201706922, -0.013799819772695437, -7.514740507854714*^-18, -0.009627241030032553}, {-6.830377141408772*^-16, 1.1877695995251979*^-15, 0.9998477286414942, -4.911345083964231*^-16, 0., 1.4233375159936796*^-15, -2.397859026758698*^-16, -0.01745048797154538, -1.3707067467756908*^-16}, {0., 0., 0., 0., 1., 0., 0., 0., 0.}, {-0.012994307920406588, -0.37292659060401745, 1.2144232389162088*^-16, 0.027605928419797678, 0., 0.7922688017794469, -0.4816879297269363, -1.5421016506244122*^-18, 0.016784003710427643}, {0.37315290970038933, 1.438487209844486*^-16, 0., -0.792749608361278, 0., 0., 0., 0., -0.48198025314858434}, {0.017117077590254916, -5.342005672254397*^-17, 0., -0.03856754506823021, 0., 0., 0., 0., 0.9991093784577239}, {0.0001959353327312788, -0.017115956139701707, 4.9949796865847614*^-17, -0.0004414740037092844, 0., 0.03856501825870205, 0.9990439203350261, -9.594051403807639*^-20, 0.011436580074539453}} bodylist = {{{xg, yg, zg, pitchg, yawg, rollg}, 0, {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}, "Doughnut[y]", {1.5, 1, 0.2, 0.2, 0.2}}, {{xF0, 0.5 + yg, zF0, pitchg, yawF0, rollg}, 730, {{80, 0, 0}, {0, 280, 0}, {0, 0, 80}}, "Cylinder[y]", {1.4, 0.2, 0.2, 0.2, 0.2}}, {{xPL, yPL, zPL, pitchPL, yawPL, rollPL}, 320, {{30, 0, 0}, {0, 50, 0}, {0, 0, 30}}, "Cylinder[y]", {0.8, 0.05, 0.2, 0.2, 0.2}}, {{xg + 0.6*Cos[rollg]*Cos[yawg], yg + 0.6*Cos[yawg]*Sin[rollg], zg - 0.6*Sin[yawg], -2.*(-zF0 + zg + 0.6*Sin[yawF0] - 0.6*Sin[yawg]), 0, 2.*(-xF0 + xg - 0.6*Cos[yawF0] + 0.6*Cos[yawg])}, 0, {{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}}, "DoubleCylinder[y]", {0.15, 0.2, 0.5, 0.2, 0.15}}, {{xg - 0.3*Cos[rollg]*Cos[yawg] - 0.5196*(Sin[pitchg]*Sin[rollg] + Cos[pitchg]*Cos[rollg]*Sin[yawg]), yg - 0.3*Cos[yawg]*Sin[rollg] - 0.5196*(-(Cos[rollg]*Sin[pitchg]) + Cos[pitchg]*Sin[rollg]* Sin[yawg]), zg - 0.5196*Cos[pitchg]*Cos[yawg] + 0.3*Sin[yawg], -2.*(-zF0 + zg + 0.5196*Cos[yawF0] - 0.5196*Cos[yawg] - 0.3*Sin[yawF0] + 0.3*Sin[yawg]), 0, 2.*(-xF0 + xg + 0.3*Cos[yawF0] - 0.3*Cos[yawg] + 0.5196*Sin[yawF0] - 0.5196*Sin[yawg])}, 0, {{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}}, "DoubleCylinder[y]", {0.15, 0.2, 0.5, 0.2, 0.15}}, {{xg - 0.3*Cos[rollg]*Cos[yawg] + 0.5196*(Sin[pitchg]*Sin[rollg] + Cos[pitchg]*Cos[rollg]*Sin[yawg]), yg - 0.3*Cos[yawg]*Sin[rollg] + 0.5196*(-(Cos[rollg]*Sin[pitchg]) + Cos[pitchg]*Sin[rollg]* Sin[yawg]), zg + 0.5196*Cos[pitchg]*Cos[yawg] + 0.3*Sin[yawg], -2.*(-zF0 + zg - 0.5196*Cos[yawF0] + 0.5196*Cos[yawg] - 0.3*Sin[yawF0] + 0.3*Sin[yawg]), 0, 2.*(-xF0 + xg + 0.3*Cos[yawF0] - 0.3*Cos[yawg] - 0.5196*Sin[yawF0] + 0.5196*Sin[yawg])}, 0, {{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}}, "DoubleCylinder[y]", {0.15, 0.2, 0.5, 0.2, 0.15}}, {{xF0 + (0.019086280701015344 + hGAS0)*(-(Cos[pitchg]*Sin[rollg]) + Cos[rollg]*Sin[pitchg]*Sin[yawF0]), 0.5 + yg + (0.019086280701015344 + hGAS0)*(Cos[pitchg]*Cos[rollg] + Sin[pitchg]*Sin[rollg]*Sin[yawF0]), zF0 + (0.019086280701015344 + hGAS0)*Cos[yawF0]*Sin[pitchg], pitchg, yawF0, rollg}, 0, {{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}}, "Cylinder[y]", {0.1, 0.03, 0., 0, 0}}} bodylist /: bodylist::usage = "bodylist is a list of structures defining \ bodies. Each structure containing the following items:\n\tcoordinate list \ defining the body,\n\tmass,\n\tmoment of inertia \ tensor,\n\tshape,\n\tdimension" wirelist = {{{xF0, 0.5 + yg, zF0, pitchg, yawF0, rollg}, {0, 0.019086280701015344 + hGAS0, 0}, {xPL, yPL, zPL, pitchPL, yawPL, rollPL}, {0, 0.23091371929898466, 0}, 2.7245696664516754, 871299.342127734, 0.6342073574341877, 0.001, 1.9869157447985614*^-6, 0.001}} wirelist /: wirelist::usage = "wirelist is a list of structures defining \ wires. Each structure containing the following items:\n\tcoordinate list \ defining first mass,\n\tattachment point for first mass (local \ coordinates),\n\tcoordinate list defining second mass,\n\tattachment point \ for second mass (local coordinates),\n\tunstretched length,\n\tstretching \ elasticity,\n\ttorsional elasticity,\n\tloss angle of the stretching \ mode,\n\tloss angle of the bending mode,\n\tloss angle of the torsion mode," calcdone = True