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 = "MultiSAS_forplot" save$HL = {} save$initpos = {{0, 0, 0}, {0, 0.5, 0}, {0, -1.75, 0}} save$IP = {{1, 2, {{0.6, 0.}, {-0.3, -0.51962}, {-0.3, 0.51962}}, {671.52788345012, 671.52788345012, 671.52788345012, 0}, {20, 20, 20, 1000}, "IP", 0.5, -80, True, 700, True}} save$mass = {{0, {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}}, {300, {{30, 0, 0}, {0, 50, 0}, {0, 0, 30}}}, {400, {{40, 0, 0}, {0, 50, 0}, {0, 0, 40}}}} 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, 0.1, 0.2, 0.2, 0.2}}} save$vspr = {{1, 1, 631.6546816697189, 3924., True, -60, {0., 1, 0.}, "GAS0", 20.}} save$wire = {{2, {0, -0.005, 0}, 3, {0, 0.005, 0}, 1, 0.39916730133774325, 0.004, 0.02, 0.002, 3924., {0, -1, 0}, {0, 1, 0}, "F0-PL-1", 4.712388980384689*^6, 1.8849555921538763}} save$wire2 = {{1, 2, 3, {-0.005, 0.005, 0.2, 0.05, 0., 0.}, 1, {0.4, 0.004, 0.02, 0.002, True, True}, 3924., {4.712388980384689*^6, 1.8849555921538763}}} calc$combif = False calc$combif2 = False calc$combin = {xF0 + zF0, xF0 - zF0} calc$combout = {xF0 + zF0, xF0 - zF0} calc$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$tfline = {{Thickness[Large]}, {Thickness[Large]}} calc$tfname = {"zF0/zg", "zF0/pitchg"} calc$tfplot = {{{0.01000000000000001, 1.001370180305816 - 0.00006860313522782169*I}, {0.010092528860766855, 1.0013956917110978 - 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4.413333730786892*^-7*I}, {99.08319448927665, -0.0000687088925921565 - 4.3327618128902087*^-7*I}, {99.9999999999999, -0.00006745468424433258 - 4.2536612036641783*^-7*I}}} calc$tfsel = {False, False} calc$tfshow = {True, True} calc$tnb = {False, False, False, False, False, False, False, False, False} calc$tnT = 300 calc$xrange = Automatic calc$ybottom = -2.5 calc$yrange = Automatic calc$ytop = 1. matKff = {{4.713020635066358*^6}} matKffc = {{4.713020635066358*^6 + 4743.9717144681745*I}} matKfp = {{0}, {4.712388980384689*^6}, {0}, {0}, {0}, {0}} matKfpc = {{0}, {4.712388980384689*^6 + 4712.388980384689*I}, {0}, {0}, {0}, {0}} matKfv = {{0}, {0}, {0}, {0}, {-4.712388980384689*^6}, {0}, {0}, {0}, {0}} matKfvc = {{0}, {0}, {0}, {0}, {-4.712388980384689*^6 - 4712.388980384689*I}, {0}, {0}, {0}, {0}} matKpv = {{-2014.5836503503615, 0, 0, 0, 0, 7988.186307238062}, {0, 0, -2014.5836503503615, -7988.186307238062, 0, 0}, {0, 0, 0, 0, -725.256754731064, 0}, {0, 0, 0, 0, 0, -113.89448206288151}, {0, -631.5700252102688, 0, 0, 0, 0}, {0, 0, 0, 113.89448206288151, 0, 0}, {0, 0, 0, 1.2810142314441235, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1.2810142314441235}} matKpvc = {{-2014.5836503503615 - 100.72918251751801*I, 0, 0, 0, 0, 7988.186307238062 + 50.36637382416139*I}, {0, 0, -2014.5836503503615 - 100.72918251751801*I, -7988.186307238062 - 50.36637382416139*I, 0, 0}, {0, 0, 0, 0, -725.256754731064 - 36.26283773655318*I, 0}, {0, 0, 0, 0, 0, -113.89448206288151 - 0.0017825654023891763*I}, {0, -631.5702284164727 - 31.574353445482302*I, 0, 0, 0, 0}, {0, 0, 0, 113.89448206288151 + 0.0017825654023891763*I, 0, 0}, {0, 0, 0, 1.2810142314441235 + 0.00002004918594458099*I, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1.2810142314441235 + 0.00002004918594458099*I}} matKvv = {{12140.89819708185, 0, 0, -10126.314546731488, 0, 0, 0, 0, 113.89448208106191}, {0, 12140.89819708185, 0, 0, 0, -10126.314546731488, -113.89448208106191, 0, 0}, {0, 0, 727.1417103232175, 0, 0, 0, 0, -1.8849555921538763, 0}, {-10126.314546731488, 0, 0, 10126.314546731488, 0, 0, 0, 0, -113.89448208106191}, {0, 0, 0, 0, 631.5700252102688, 0, 0, 0, 0}, {0, -10126.314546731488, 0, 0, 0, 10126.314546731488, 113.89448208106191, 0, 0}, {0, -113.89448208106191, 0, 0, 0, 113.89448208106191, 45.415723421586726, 0, 0}, {0, 0, -1.8849555921538763, 0, 0, 0, 0, 1.8849555921538763, 0}, {113.89448208106191, 0, 0, -113.89448208106191, 0, 0, 0, 0, 45.415723421586726}} matKvvc = {{12140.89819708185 + 100.88766972109252*I, 0, 0, -10126.314546731488 - 0.15848720357451443*I, 0, 0, 0, 0, 113.89448208106191 + 0.0017825654026737182*I}, {0, 12140.89819708185 + 100.88766972109252*I, 0, 0, 0, -10126.314546731488 - 0.15848720357451443*I, -113.89448208106191 - 0.0017825654026737182*I, 0, 0}, {0, 0, 727.1417103232176 + 36.264722692145334*I, 0, 0, 0, 0, -1.8849555921538763 - 0.0018849555921538763*I, 0}, {-10126.314546731488 - 0.15848720357451443*I, 0, 0, 10126.314546731488 + 0.15848720357451443*I, 0, 0, 0, 0, -113.89448208106191 - 0.0017825654026737182*I}, {0, 0, 0, 0, 631.5702284164727 + 31.574353445482302*I, 0, 0, 0, 0}, {0, -10126.314546731488 - 0.15848720357451443*I, 0, 0, 0, 10126.314546731488 + 0.15848720357451443*I, 113.89448208106191 + 0.0017825654026737182*I, 0, 0}, {0, -113.89448208106191 - 0.0017825654026737182*I, 0, 0, 0, 113.89448208106191 + 0.0017825654026737182*I, 45.415723421586726 + 0.04415475837588627*I, 0, 0}, {0, 0, -1.8849555921538763 - 0.0018849555921538763*I, 0, 0, 0, 0, 1.8849555921538763 + 0.0018849555921538763*I, 0}, {113.89448208106191 + 0.0017825654026737182*I, 0, 0, -113.89448208106191 - 0.0017825654026737182*I, 0, 0, 0, 0, 45.415723421586726 + 0.04415475837588627*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 = {{-7/100, 0, 0, 0, 0, 0}, {0, 0, -7/100, 0, 0, 0}, {0, 0, 0, 0, -0.025200230738666667, 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 = {{300, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 300, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 50, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 400, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 400, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 400, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 40., 0, 0}, {0, 0, 0, 0, 0, 0, 0, 50., 0}, {0, 0, 0, 0, 0, 0, 0, 0, 40}} 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 -> 0.09000000000179575, zPL -> 0., pitchPL -> 0., yawPL -> 0., rollPL -> 0., hGAS0 -> 1.7953618901962617*^-12} eigenf = {0.030861752957977398, 0.16702648126265132, 0.16702648126265132, 0.1999865972186098, 0.2614296342212058, 0.2614296342212058, 0.6069405042433925, 1.2644688147446186, 1.2644688147446188} eigenv = {{2.6001643073688587*^-20, 3.254666054795816*^-18, -0.0025989919861787196, 8.340798611655542*^-20, 0., 4.626917424999934*^-18, -3.3766036671259763*^-16, -0.9999966226146245, 8.419812044777864*^-18}, {0.00004853426355630013, 0.0042328510630662685, -1.376731851695632*^-18, 0.00018554327595786478, 0., 0.01618190934270839, -0.999794366246253, 5.638002416265054*^-17, 0.011463735092615899}, {0.004233129303109023, 2.3533387084633353*^-16, -8.161989503203254*^-24, 0.016182973035968592, 0., 2.65435319426014*^-16, 3.038565710566771*^-17, 2.1213016947505468*^-26, 0.9998600862120761}, {0., 0., 0., 0., 1., 0., 0., 0., 0.}, {0.6605318784846149, -5.648148348938325*^-18, 4.676605816038945*^-25, 0.7375631961275064, 0., -2.046042109504235*^-17, -2.342202767046671*^-18, -1.2154502083345279*^-27, -0.14035016645434806}, {-0.6442621083749478, 0.14570071450298847, 1.131864096581232*^-17, -0.7193960432114712, 0., 0.1626923516748762, 0.03095856566366801, 2.7303106079274386*^-19, 0.13689315700871088}, {2.88524941688052*^-18, 1.6856943594651342*^-16, -0.9999966226146245, -6.147828555452498*^-18, 0., 1.3466202085686003*^-16, 5.866858333059693*^-17, 0.002598991986178727, -6.845708312230909*^-16}, {-0.050973982518924266, 0.8274388104866487, 7.06418208897093*^-18, 0.03416326471304128, 0., -0.5545576335144062, -0.06348287836651718, -3.467921778267461*^-21, -0.003910833152970674}, {0.829007437839613, 4.4216108825336714*^-17, -9.05921046818474*^-27, -0.555608943003037, 0., -2.916439641875954*^-17, -3.338588667063964*^-18, 2.3544895711272614*^-29, 0.06360322681789281}} 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}, 300, {{30, 0, 0}, {0, 50, 0}, {0, 0, 30}}, "Cylinder[y]", {1.4, 0.2, 0.2, 0.2, 0.2}}, {{xPL, yPL, zPL, pitchPL, yawPL, rollPL}, 400, {{40, 0, 0}, {0, 50, 0}, {0, 0, 40}}, "Cylinder[y]", {0.8, 0.1, 0.2, 0.2, 0.2}}, {{xg + 0.6*Cos[rollg]*Cos[yawg] + 0.*(Sin[pitchg]*Sin[rollg] + Cos[pitchg]*Cos[rollg]*Sin[yawg]), yg + 0.6*Cos[yawg]*Sin[rollg] + 0.*(-(Cos[rollg]*Sin[pitchg]) + Cos[pitchg]*Sin[rollg]*Sin[yawg]), zg + 0.*Cos[pitchg]*Cos[yawg] - 0.6*Sin[yawg], -2.*(-zF0 + zg + 0.*Cos[yawF0] + 0.*Cos[yawg] + 0.6*Sin[yawF0] - 0.6*Sin[yawg]), 0, 2.*(-xF0 + xg - 0.6*Cos[yawF0] + 0.6*Cos[yawg] + 0.*Sin[yawF0] + 0.*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] - 0.51962*(Sin[pitchg]*Sin[rollg] + Cos[pitchg]*Cos[rollg]*Sin[yawg]), yg - 0.3*Cos[yawg]*Sin[rollg] - 0.51962*(-(Cos[rollg]*Sin[pitchg]) + Cos[pitchg]*Sin[rollg]* Sin[yawg]), zg - 0.51962*Cos[pitchg]*Cos[yawg] + 0.3*Sin[yawg], -2.*(-zF0 + zg + 0.51962*Cos[yawF0] - 0.51962*Cos[yawg] - 0.3*Sin[yawF0] + 0.3*Sin[yawg]), 0, 2.*(-xF0 + xg + 0.3*Cos[yawF0] - 0.3*Cos[yawg] + 0.51962*Sin[yawF0] - 0.51962*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] + 0.51962*(Sin[pitchg]*Sin[rollg] + Cos[pitchg]*Cos[rollg]*Sin[yawg]), yg - 0.3*Cos[yawg]*Sin[rollg] + 0.51962*(-(Cos[rollg]*Sin[pitchg]) + Cos[pitchg]*Sin[rollg]* Sin[yawg]), zg + 0.51962*Cos[pitchg]*Cos[yawg] + 0.3*Sin[yawg], -2.*(-zF0 + zg - 0.51962*Cos[yawF0] + 0.51962*Cos[yawg] - 0.3*Sin[yawF0] + 0.3*Sin[yawg]), 0, 2.*(-xF0 + xg + 0.3*Cos[yawF0] - 0.3*Cos[yawg] - 0.51962*Sin[yawF0] + 0.51962*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.*hGAS0*Cos[rollg]*Cos[yawF0] + 0.*hGAS0*(Sin[pitchg]*Sin[rollg] + Cos[pitchg]*Cos[rollg]* Sin[yawF0]) + (-0.011247377469409549 + hGAS0)* (-(Cos[pitchg]*Sin[rollg]) + Cos[rollg]*Sin[pitchg]*Sin[yawF0]), 0.5 + yg + 0.*hGAS0*Cos[yawF0]*Sin[rollg] + 0.*hGAS0*(-(Cos[rollg]*Sin[pitchg]) + Cos[pitchg]*Sin[rollg]* Sin[yawF0]) + (-0.011247377469409549 + hGAS0)* (Cos[pitchg]*Cos[rollg] + Sin[pitchg]*Sin[rollg]*Sin[yawF0]), zF0 + 0.*hGAS0*Cos[pitchg]*Cos[yawF0] + (-0.011247377469409549 + hGAS0)*Cos[yawF0]*Sin[pitchg] + 0.*hGAS0*Sin[yawF0], 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.*hGAS0, -0.011247377469409549 + hGAS0, 0.*hGAS0}, {xPL, yPL, zPL, pitchPL, yawPL, rollPL}, {0, 0.011247377469409549, 0}, 0.3866725463989242, 4.712388980384689*^6, 1.8849555921538763, 0.001, 0.000015651025142772202, 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