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{"sheet":"減衰振動","index":0,"n_rows":508,"n_cols":16,"rows_kept":508,"cut":false,"hidden":false,"merged":[[1,5,1,6]]}
["振動の運動方程式"]
["mx''+cx'+kx=-sign(x')μ'mg+fsinΩt",null,null,null,null,"減衰振動",null,null,null,"マクロで計算➡",null,"exe(\"ルンゲ･クッタ･ギル法\",\"ForcedOscillation\",C8:C18,J8:L8)"]
["x''=-(c/m)x'-(k/m)x-sign(x')(μ'g)+(f/m)sinΩt",null,null,null,null,null,null,null,null,"マクロは標準モジュール-Module6 の中。　実行させるには =exe(･･･ 　と先頭に＝を付加する。"]
["ダンパ＋バネ＋動摩擦＋外力",null,null,null,null,null,"解析解",null,null,null,"数値積分",null,null,null,"解析解との差"]
[null,null,null,null,"時間","加速度","速度","変位",null,"加速度","速度","変位",null,"加速度","速度","変位"]
[null,null,null,null,"t","理論値x''","理論値x'","理論値x",null,"x''","x'","x",null,"x''","x'","x"]
[null,null,null,null,"[s]","[m/s^2]","[m/s]","[m]",null,"[m/s^2]","[m/s]","[m]",null,"[m/s^2]","[m/s]","[m]"]
["時間間隔","Δt",{"$f":"C9/500","v":1.2E-2},"[s]",0,{"$f":"-2*$C$30*G8-$C$25^2*H8","v":-24.000000000000004},{"$f":"-$C$30*H8-$C$31*$C$27*EXP(-$C$30*E8)*SIN($C$27*E8+$C$32)","v":0},{"$f":"$C$31*EXP(-$C$30*E8)*COS($C$27*E8+$C$32)","v":6.0000000000000009},null,-24,0,6,null,{"$f":"J8-F8","v":0},{"$f":"K8-G8","v":0},0]
["終了時間","TL",6,"[s]",{"$f":"E8+$C$8","v":1.2E-2},-23.878186447615782,-0.28728232364826212,5.9982748442687717,null,-23.878186448525724,-0.28728232294809619,5.9982748444262404,null,{"$f":"J9-F9","v":-9.099423436964571E-10},7.001659252381387E-10,1.57468704742314E-10]
["重力加速度","g",9.8000000000000007,"[m/s^2]",2.4E-2,-23.743235978882463,-0.57302392615613829,5.9931113873362296,null,-23.743235980760147,-0.57302392477799258,5.9931113876678364,null,-1.8776837862333196E-9,1.3781457086636806E-9,3.3160674206555996E-10]
["質量","m",1,"[kg]",3.6000000000000004E-2,-23.595289041393581,-0.85706800036034769,5.9845290603844301,null,-23.595289044294795,-0.85706799832743763,5.9845290609064428,null,-2.9012134916683863E-9,2.0329100625104957E-9,5.220126553240334E-10]
["粘性係数","c",0.4,"[Ns/m]",4.8000000000000001E-2,-23.434492877879538,-1.1392594653550323,5.972549166005388,null,-23.434492881857977,-1.1392594626915689,5.9725491667336517,null,-3.9784389116448438E-9,2.6634634497924026E-9,7.2826367158995708E-10]
["バネ定数","k",4,"[N/m]",0.06,-23.261001409064576,-1.4194450473338587,5.9571948569995303,null,-23.261001414171801,-1.4194450440650146,5.9571948579494514,null,{"$f":"J13-F13","v":-5.1072248652417329E-9},{"$f":"K13-G13","v":3.2688440843031685E-9},{"$f":"L13-H13","v":9.4992103072399914E-10}]
["動摩擦係数","μ'",0,"[ND]",7.1999999999999995E-2,-23.074975113247543,-1.6974733590066626,5.9384911142125523,null,-23.074975119532922,-1.6974733551585379,5.938491115399084,null,{"$f":"J14-F14","v":-6.2853793281192338E-9},3.8481247077726266E-9,1.1865317617321125E-9]
["強制力","f",0,"[N]",8.3999999999999991E-2,-22.876580902691376,-1.9731949775518287,5.9164647234280272,null,-22.876580910202062,-1.9731949731514169,5.9164647248656568,null,-7.510685406941775E-9,4.4004118127105585E-9,1.4376295709439546E-9]
["強制力角速度","Ω",0,"[rad/s]",9.5999999999999988E-2,-22.665991996907607,-2.24646252106663,5.8911442513335652,null,-22.665992005688469,-2.2464625161417811,5.8911442530362956,null,-8.7808622595275665E-9,4.9248489730757683E-9,1.7027304011207889E-9]
["初期位置","x0",6,"[m]",0.10799999999999998,-22.443387792923502,-2.5171307234787843,5.862560020578754,null,-22.443387803017107,-2.5171307180581688,5.8625600225600936,null,-1.0093604174699067E-8,5.4206155120084532E-9,1.9813395368828424E-9]
["初期速度","x'0",0,"[m/s]",0.11999999999999998,-22.208953732620905,-2.7850565078835627,5.8307440839435829,null,-22.208953744067482,-2.785056501996634,5.8307440862165336,null,-1.1446577019569304E-8,5.8869287222762523E-9,2.272950716530886E-9]
[null,null,null,null,0.13199999999999998,-21.962881167237022,-3.0500990582718379,5.7957301976364395,null,-21.962881180074394,-3.0500990519487967,5.7957302002134785,null,-1.2837372054264051E-8,6.3230412017389881E-9,2.577039026618877E-9]
[null,"c/m",{"$f":"C12/C11","v":0.4},"[1/s]",0.14399999999999999,-21.705367219118504,-3.3121198896155772,5.7575537937411836,null,-21.705367233382105,-3.3121198828873317,5.7575537966342596,null,-1.4263601855191155E-8,6.7282455162853694E-9,2.8930760009870937E-9]
[null,"k/m",{"$f":"C13/C11","v":4},"[1/s^2]",0.156,-21.436614640821571,-3.5709829162783633,5.7162519518332289,null,-21.436614656544375,-3.5709829091764904,5.7162519550537425,null,-1.5722804391771206E-8,7.101872867565362E-9,3.2205136335505813E-9]
[null,"μ'g",{"$f":"C14*C10","v":0},"[s^2/m]",0.16800000000000001,-21.156831671651705,-3.8265545187196564,5.6718633697848917,null,-21.156831688864212,-3.826554511276365,5.6718633733436894,null,-1.7212506975283759E-8,7.4432913166333492E-9,3.5587977009754468E-9]
[null,"f/m",{"$f":"C15/C11","v":0},"[N/m]",0.18000000000000002,-20.866231891737662,-4.0787036084626545,5.6244283337806813,null,-20.866231910467874,-4.0787036007107442,5.6244283376880428,null,-1.8730212048012618E-8,7.7519102248402305E-9,3.9073615454299215E-9]
["振動中心","p＝mg/k",{"$f":"C11*C10/C13","v":2.4500000000000002},"[m]",0.19200000000000003,-20.565034073735486,-4.3273016912967135,5.5739886875635429,null,-20.56503409400888,-4.3273016832695346,5.5739886918291734,null,-2.0273393630532155E-8,8.0271789215657918E-9,4.2656305154764595E-9]
["固有角振動数","ω＝√(k/m)",{"$f":"SQRT(C13/C11)","v":2},"［rad/s］",0.20400000000000004,-20.253462032259012,-4.5722229286864815,5.5205878009334013,null,-20.253462054098531,-4.5722229204178984,5.5205878055664224,null,-2.1839518637989386E-8,8.2685831515050268E-9,4.6330210778933179E-9]
["〝","〝",{"$f":"DEGREES(C25)","v":114.59155902616465},"[deg/s]",0.21600000000000005,-19.931744471134344,-4.8133441973610536,5.4642705375196918,null,-19.931744494560363,-4.8133441888853996,5.4642705425286309,null,-2.3426018458394537E-8,8.4756539564523337E-9,5.0089390413177171E-9]
["減衰固有角振動数","ωd＝ω√(1-ζ^2)",{"$f":"C25*SQRT(1-C29^2)","v":1.9899748742132399},"［rad/s］",0.22800000000000006,-19.600114828576409,-5.0505451470575977,5.4050832218498623,null,-19.600114853606733,-5.0505451384096371,5.4050832272426472,null,-2.5030324479757837E-8,8.647960569874158E-9,5.3927848853163596E-9]
["〝","〝",{"$f":"DEGREES(C27)","v":114.01716162949552},"[deg/s]",0.24000000000000007,-19.258811120386572,-5.283708256395145,5.3430736057361576,null,-19.258811147036411,-5.2837082476100292,5.3430736115201061,null,-2.6649839668380082E-8,8.7851157459795104E-9,5.7839484313149114E-9]
["減衰比","ζ＝c/{2√(mk)} ",{"$f":"C12/(2*SQRT(C11*C13))","v":0.1},"[ND]",0.25200000000000006,-18.908075781270831,-5.5127188868553541,5.2782908340032435,null,-18.908075809552805,-5.5127188779685863,5.2782908401850603,null,-2.8281974095989426E-8,8.8867677661141897E-9,6.1818168362037795E-9]
["減衰率","γ＝ζω",{"$f":"C29*C25","v":0.2},null,0.26400000000000007,-18.548155504378812,-5.7374653348483404,5.210785409579537,null,-18.548155534302929,-5.7374653258957302,5.2107854161653053,null,-2.9924116518031951E-8,8.9526102087233994E-9,6.5857683750891738E-9]
["振幅","A",{"$f":"SQRT(($C$17^2+2*$C$17*$C$29*($C$18/$C$25)+($C$18/$C$25)^2)/(1-$C$29^2))","v":6.030226891555273},"[m]",0.27600000000000008,-18.17930107916424,-5.957838881842787,5.140609157975339,null,-18.179301110737903,-5.9578388728604059,5.1406091649705168,null,-3.1573662795381097E-8,8.9823810611733279E-9,6.9951777703636253E-9]
["初期位相","α",{"$f":"ATAN2($C$17,-($C$18+$C$29*$C$25*$C$17)/($C$25*SQRT(1-$C$29^2)))","v":-0.10016742116155981},"[rad]",0.28800000000000009,-17.801767227668147,-6.1737338425408161,5.0678151911711184,null,-17.801767260896131,-6.1737338335649632,5.0678151985805293,null,-3.322798391991455E-8,8.975852949788532E-9,7.4094108626354682E-9]
["〝","〝",{"$f":"DEGREES(C32)","v":-5.7391704772667875},"[deg]",0.3000000000000001,-17.415812439326341,-6.3850476110793091,4.992457870939516,null,-17.415812474210817,-6.3850476021464662,4.9924578787673513,null,-3.488447575250575E-8,8.9328429098145534E-9,7.827835268869876E-9]
[null,null,null,null,0.31200000000000011,-17.02169880440325,-6.5916807052405728,4.9145927716248696,null,-17.021698840943785,-6.5916806963873595,4.914592779874682,null,-3.6540534154028137E-8,8.8532132735963387E-9,8.2498123887830843E-9]
["A^2＝{x0^2＋2x0ζ(x'0/ω)＋(x'0/ω)^2}/(1－ζ^2)",null,null,null,0.32400000000000012,-16.619691846154318,-6.7935368086564676,4.8342766424042267,null,-16.619691884347858,-6.7935367999196083,4.8342766510789259,null,-3.8193540774500434E-8,8.7368592360803632E-9,8.6746991811992302E-9]
["α＝atan2[x0,－(x'0+ζωx0)/{ω√(1－ζ^2)}]",null,null,null,0.33600000000000013,-16.210060351819553,-6.9905228109913953,4.7515673690540279,null,-16.210060391660452,-6.9905228024076651,4.7515673781558796,null,-3.9840898580223438E-8,8.583730171096704E-9,9.1018517167640312E-9]
[null,null,null,null,0.34800000000000014,-15.793076202550848,-7.1825488460906728,4.6665239352467793,null,-15.793076244030875,-7.1825488376968671,4.6665239447774054,null,-4.1480026524709501E-8,8.393805650541708E-9,9.5306260661232045E-9]
[null,null,null,null,0.36000000000000015,-15.369014202376029,-7.3695283280821835,4.5792063834022256,null,-15.369014245484365,-7.3695283199150747,4.5792063933625986,null,-4.3108336456043617E-8,8.1671087670542875E-9,9.9603729708519495E-9]
["減衰振動解析解",null,"運動方程式",null,0.37200000000000016,-14.938151906302384,-7.5513779854203129,4.4896757751176271,null,-14.938151951025649,-7.5513779775166086,4.4896757855080729,null,-4.472326509130653E-8,7.9037043576590804E-9,1.0390445837060724E-8]
["x''+2ζωx'+ω^2x=0",null,"解析解",null,0.38400000000000017,-14.500769447662661,-7.7280178928624963,4.3979941512019147,null,-14.500769493984935,-7.7280178852587893,4.3979941620221128,null,-4.6322274016574738E-8,7.6037069973722282E-9,1.0820198070859988E-8]
["x＝Ae^(－ζωt)cos{ω√(1－ζ^2)t＋α}",null,null,null,0.39600000000000019,-14.057149364806332,-7.899371501369858,4.3042244913385685,null,-14.057149412709167,-7.8993714941025974,4.3042245025875516,null,-4.7902835476065775E-8,7.2672605710977223E-9,1.1248983078360197E-8]
["x'＝－ζωx－Aω√(1－ζ^2)e^(－ζωt)sin{ω√(1－ζ^2)t＋α}",null,null,null,0.4080000000000002,-13.607576427238826,-8.0653656659247535,4.2084306734021819,null,-13.607576476701263,-8.0653656590302027,4.2084306850783362,null,-4.9462437701208728E-8,6.8945507081252799E-9,1.1676154265671812E-8]
["x''＝－2ζωx'－ω^2x",null,null,null,0.42000000000000021,-13.152337461311291,-8.2259306712591869,4.1106774324537412,null,-13.152337512309893,-8.2259306647733812,4.1106774445548115,null,-5.0998602674212634E-8,6.4858056703087641E-9,1.2101070367975808E-8]
[null,null,null,null,0.43200000000000022,-12.691721175563215,-8.3810002554893028,4.0110303194397341,null,-12.691721228072099,-8.3810002494480038,4.0110303319628251,null,-5.2508884351709639E-8,6.0412990166014424E-9,1.2523091008631582E-8]
["計算用",null,null,null,0.44400000000000023,-12.226017985819883,-8.5305116316524252,3.9095556596202132,null,-12.226018039810729,-8.5305116260910925,3.9095556725617913,null,-5.3990845572116086E-8,5.5613327276660129E-9,1.2941578031444578E-8]
["x＝Ae^(－γt)cos(ωdt＋α)",null,null,null,0.45600000000000024,-11.755519840146359,-8.6744055071443054,3.8063205107510205,null,-11.755519895588449,-8.6744055020980522,3.8063205241069173,null,-5.5442090030055624E-8,5.0462531930861587E-9,1.3355896832933922E-8]
["x'＝－γx－Aωde^(－γt)sin(ωdt＋α)",null,null,null,0.46800000000000025,-11.280520043759266,-8.8126261010554696,3.7013926210453634,null,-11.280520100619531,-8.8126260965590184,3.7013926348107846,null,-5.6860265829072887E-8,4.4964512113665478E-9,1.3765421247313725E-8]
["x''＝－2γx'－ω^2x",null,null,null,0.48000000000000026,-10.801313083997188,-8.9451211594067317,3.5948403869399703,null,-10.801313142240224,-8.9451211554943892,3.594840401109495,null,-5.8243035283567224E-8,3.9123424500075998E-9,1.4169524664708888E-8]
[null,null,{"$f":"IF($C$29>1,\"'過減衰\",\"\")","v":""},null,0.49200000000000027,-10.318194455449927,-9.0718419682852485,3.4867328106910067,null,-10.318194515038039,-9.0718419649908526,3.4867328252585952,null,-5.9588112222286327E-8,3.2943958672149165E-9,1.456758846885009E-8]
["過減衰","ζ>1",{"$f":"IF($C$29=1,\"'臨界減衰\",\"\")","v":""},null,0.50400000000000023,-9.8314604853463976,-9.1927433648835279,3.3771394578249523,null,-9.8314605462396383,-9.1927433622404244,3.3771394727839521,null,-6.0893240672044158E-8,2.6431035138330117E-9,1.4958999816627738E-8]
["臨界減衰","ζ=1",{"$f":"IF(AND(0<$C$29,$C$29<1),\"'減衰振動\",\"\")","v":"'減衰振動"},null,0.51600000000000024,-9.3414081593002027,-9.3077837464451889,3.2661304144695698,null,-9.3414082214564207,-9.3077837444861835,3.2661304298127236,null,-6.215621795035986E-8,1.959005402341063E-9,1.5343153858538017E-8]
["減衰振動","0<ζ<1",{"$f":"IF($C$29=0,\"単振動\",\"\")","v":""},null,0.52800000000000025,-8.8483349475113471,-9.4169250771222615,3.153776244590063,null,-8.848335010886224,-9.4169250758795933,3.1537762603095154,null,-6.3374876901889365E-8,1.2426681905708392E-9,1.5719452406415257E-8]
["単振動","ζ=0",null,null,0.54000000000000026,-8.3525386315217247,-9.5201328927501709,3.0401479471554484,null,-8.3525386960688195,-9.520132892255468,3.0401479632427515,null,-6.4547094780209591E-8,4.9470294527509395E-10,1.608730304525352E-8]
[null,null,null,null,0.55200000000000027,-7.8543171316213023,-9.6173763035475677,2.9253169132600823,null,-7.8543171972920955,-9.6173763038318203,2.9253169297062058,null,-6.5670793247818438E-8,-2.8425262144082808E-10,1.6446123574098692E-8]
[null,null,null,null,0.56400000000000028,-7.3539683350010296,-9.7086279947494312,2.8093548832252004,null,-7.3539684017449805,-9.7086279958429564,2.8093549000205407,null,-6.6743950810632668E-8,-1.0935252703347942E-9,1.6795340229691647E-8]
[null,null,null,null,0.57600000000000029,-6.8517899247476848,-9.7938642251829666,2.6923339037052179,null,-6.8517899925122734,-9.7938642271153675,2.6923339208396051,null,-6.7764588607133192E-8,-1.9324009059573655E-9,1.7134387242379034E-8]
[null,null,null,null,0.5880000000000003,-6.3480792097748271,-9.8730648237969447,2.5743262848234014,null,-6.3480792785056206,-9.8730648265970835,2.5743263022861136,null,-6.8730793501003973E-8,-2.800138787506512E-9,1.7462712165183802E-8]
[null,null,null,null,0.60000000000000031,-5.8431329557831475,-9.9462131841563242,2.4554045573614194,null,-5.8431330254238363,-9.9462131878522904,2.4554045751411882,null,-6.9640688771244186E-8,-3.6959661997570947E-9,1.7779768768377835E-8]
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{"sheet":"臨界減衰","index":1,"n_rows":508,"n_cols":16,"rows_kept":508,"cut":false,"hidden":false,"merged":[[1,5,1,6]]}
["振動の運動方程式"]
["mx''+cx'+kx=-sign(x')μ'mg+fsinΩt",null,null,null,null,"臨界減衰",null,null,null,"マクロで計算➡",null,"exe(\"ルンゲ･クッタ･ギル法\",\"ForcedOscillation\",C8:C18,J8:L8)"]
["x''=-(c/m)x'-(k/m)x-sign(x')(μ'g)+(f/m)sinΩt",null,null,null,null,null,null,null,null,"マクロは標準モジュール-Module6 の中。　実行させるには =exe(･･･ 　と先頭に＝を付加する。"]
["ダンパ＋バネ＋動摩擦＋外力",null,null,null,null,null,"解析解",null,null,null,"数値積分",null,null,null,"理論値との差"]
[null,null,null,null,"時間","加速度","速度","変位",null,"加速度","速度","変位",null,"加速度","速度","変位"]
[null,null,null,null,"t","理論値x''","理論値x'","理論値x",null,"x''","x'","x",null,"x''","x'","x"]
[null,null,null,null,"[s]","[m/s^2]","[m/s]","[m]",null,"[m/s^2]","[m/s]","[m]",null,"[m/s^2]","[m/s]","[m]"]
["時間間隔","Δt",{"$f":"C9/500","v":1.2E-2},"[s]",0,{"$f":"-2*$C$25*G8-$C$25^2*H8","v":-24},{"$f":"$C$32*EXP(-$C$25*E8)-$C$25*H8","v":0},{"$f":"($C$31+$C$32*E8)*EXP(-$C$25*E8)","v":6},null,-24,0,6,null,{"$f":"J8-F8","v":0},{"$f":"K8-G8","v":0},0]
["終了時間","TL",6,"[s]",{"$f":"E8+$C$8","v":1.2E-2},-22.868516465369268,-0.28117028441027792,5.9982994007525949,null,-22.86851647488,-0.28117028044800019,5.9982993991680003,null,{"$f":"J9-F9","v":-9.5107317577003414E-9},3.9622777281422827E-9,-1.5845946776948949E-9]
["重力加速度","g",9.8000000000000007,"[m/s^2]",2.4E-2,-21.777200767146827,-0.54900506135664351,5.9933052531433502,null,-21.777200785642883,-0.549005053657178,5.9933052500678983,null,-1.8496056242156556E-8,7.6994655096029874E-9,-3.0754518931530583E-9]
["質量","m",1,"[kg]",3.6000000000000004E-2,-20.724784111507173,-0.8039786939808824,5.9851747218576756,null,-20.72478413848447,-0.80397868275999174,5.985174717381109,null,-2.6977296840868803E-8,1.1220890661078897E-8,-4.4765666729063014E-9]
["粘性係数","c",4,"[Ns/m]",4.8000000000000001E-2,-19.710035292626646,-1.0465505465111509,5.9740593696678124,null,-19.710035327601684,-1.0465505319756041,5.9740593638760249,null,-3.4975037976892054E-8,1.4535546766225593E-8,-5.7917874940471847E-9]
["バネ定数","k",4,"[N/m]",0.06,-18.731759623466367,-1.2771654288727063,5.960105334739298,null,-18.731759665975478,-1.2771654112206094,5.9601053277144791,null,{"$f":"J13-F13","v":-4.2509110897981373E-8},{"$f":"K13-G13","v":1.7652096895304226E-8},{"$f":"L13-H13","v":-7.0248189487642776E-9}]
["動摩擦係数","μ'",0,"[ND]",7.1999999999999995E-2,-17.788797896128305,-1.4962540286463071,5.9434535026783832,null,-17.788797945726976,-1.496254008067408,5.9434534944991526,null,{"$f":"J14-F14","v":-4.9598671836292851E-8},2.0578899029288777E-8,-8.1792306261263548E-9]
["強制力","f",0,"[N]",8.3999999999999991E-2,-16.880025370983269,-1.7042333307242714,5.9242396734700886,null,-16.88002542724541,-1.7042333074002769,5.9242396642116297,null,-5.6262141612251071E-8,2.3323994513546609E-8,-9.258458888439236E-9]
["強制力角速度","Ω",0,"[rad/s]",9.5999999999999988E-2,-16.004350793790707,-1.901507025004836,5.9025947234525127,null,-16.004350856308029,-1.9015069991096945,5.9025947131867023,null,-6.25173228741005E-8,2.58951415865738E-8,-1.0265810423959465E-8]
["初期位置","x0",6,"[m]",0.10799999999999998,-15.160715440051398,-2.0884659024560577,5.8786447624689071,null,-15.160715508432753,-2.0884658741562512,5.8786447512644395,null,-6.8381355688984513E-8,2.8299806498210955E-8,-1.1204467575964827E-8]
["初期速度","x'0",0,"[m/s]",0.11999999999999998,-14.34809218585394,-2.2654882398716722,5.8525112863351572,null,-14.3480922597247,-2.265488209326485,5.8525112742576599,null,-7.3870760175509531E-8,3.054518726841593E-8,-1.2077497224538547E-8]
[null,null,null,null,0.13199999999999998,-13.565484604496056,-2.4329401736324456,5.8243113247564597,null,-13.565484683497521,-2.4329401409942313,5.8243113118686116,null,-7.9001464925454457E-8,3.2638214353397643E-8,-1.2887848122034029E-8]
[null,"c/m",{"$f":"C12/C11","v":4},"[1/s]",0.14399999999999999,-12.811926088180737,-2.5911760627781266,5.7941575848233109,null,-12.811926171969549,-2.59117602819257,5.7941575711849573,null,-8.3788812332841189E-8,3.4585556640820414E-8,-1.3638353557610117E-8]
[null,"k/m",{"$f":"C13/C11","v":4},"[1/s^2]",0.156,-12.086478994105896,-2.7405388416868028,5.7621585902132768,null,-12.086479082353488,-2.7405388052931592,5.7621585758815312,null,-8.8247592344714576E-8,3.6393643654264451E-8,-1.4331745568085807E-8]
[null,"μ'g",{"$f":"C14*C10","v":0},"[s^2/m]",0.16800000000000001,-11.388233814284689,-2.8813603626503426,5.7284188162215148,null,-11.388233906676737,-2.8813603245816828,5.728418801250867,null,-9.2392047790212928E-8,3.8068659780066127E-8,-1.4970647832512896E-8]
[null,"f/m",{"$f":"C15/C11","v":0},"[N/m]",0.18000000000000002,-10.716308368451035,-3.013961728626855,5.6930388207396136,null,-10.716308464686939,-3.0139616890102916,5.6930388051820264,null,-9.623590457863429E-8,3.9616563363154E-8,-1.5557587218495428E-8]
["振動中心","p＝mg/k",{"$f":"C11*C10/C13","v":2.4500000000000002},"[m]",0.19200000000000003,-10.069847019422426,-3.1386536164433529,5.6561153712989594,null,-10.069847119214794,-3.1386535754002716,5.65611535520397,null,-9.9792368146722765E-8,4.1043081377978297E-8,-1.6094989341297605E-8]
["固有角振動数","ω＝√(k/m)",{"$f":"SQRT(C13/C11)","v":2},"［rad/s］",0.20400000000000004,-9.4480199103086839,-3.2557365907144797,5.6177415682916507,null,-9.4480200133828642,-3.2557365483607454,5.6177415517064615,null,-1.0307418030208737E-7,4.2353734297506662E-8,-1.658518922198482E-8]
["〝","〝",{"$f":"DEGREES(C25)","v":114.59155902616465},"[deg/s]",0.21600000000000005,-8.8500222229719263,-3.3655014087358044,5.578006964478786,null,-8.8500223290655189,-3.365501365181975,5.5780069474483547,null,-1.0609359257784945E-7,4.3553829431886015E-8,-1.7030431287423653E-8]
["減衰固有角振動数","ωd＝ω√(1-ζ^2)",{"$f":"C25*SQRT(1-C29^2)","v":0},"［rad/s］",0.22800000000000006,-8.2750734571586513,-3.4682293166032618,5.5369976808929247,null,-8.2750735660210548,-3.468229271954788,5.5369976634600517,null,-1.088624035361363E-7,4.4648473807029632E-8,-1.7432872922995557E-8]
["〝","〝",{"$f":"DEGREES(C27)","v":0},"[deg/s]",0.24000000000000007,-7.7224167297406332,-3.5641923368033721,5.4947965192385304,null,-7.7224168411326009,-3.5641922911607948,5.494796501443945,null,-1.1139196764986536E-7,4.5642577273241614E-8,-1.7794585360775272E-8]
["減衰比","ζ＝c/{2√(mk)} ",{"$f":"C12/(2*SQRT(C11*C13))","v":1},"[ND]",0.25200000000000006,-7.1913180935162124,-3.6536535475122704,5.4514830708913236,null,-7.1913182072094362,-3.6536535009714028,5.4514830527737619,null,-1.1369322372445367E-7,4.6540867604250025E-8,-1.8117561673136606E-8]
["減衰率","γ＝ζω",{"$f":"C29*C25","v":2},null,0.26400000000000007,-6.6810658750383674,-3.736867353835021,5.4071338225946128,null,-6.6810659908150711,-3.7368673064871327,5.4071338041909005,null,-1.1577670377960203E-7,4.7347888276760841E-8,-1.8403712331860334E-8]
["振幅","A",{"$f":"C17","v":6},"[m]",0.27600000000000008,-6.1909700309502682,-3.8140797512104392,5.3618222589480062,null,-6.1909701486027977,-3.8140797031424292,5.3618222402931286,null,-1.1765252949658134E-7,4.8068010016777407E-8,-1.8654877642632073E-8]
[null,"B",{"$f":"C18+C25*C17","v":12},"[m/s]",0.28800000000000009,-5.7203615223228645,-3.8855285812004361,5.3156189617811522,null,-5.7203616416532945,-3.8855285324950097,5.3156189429083334,null,-1.1933042998180099E-7,4.8705426358708337E-8,-1.887281886325809E-8]
["初期位相","α＝0",{"$f":"ATAN2($C$17,-($C$18+$C$29*$C$25*$C$17)/($C$25*SQRT(1-$C$29^2)))","v":{"$error":"#DIV/0!"}},"[rad]",0.3000000000000001,-5.2685917065026509,-3.9514437798769899,5.2685917065026526,null,-5.2685918273224459,-3.9514437306128078,5.2685916874434193,null,-1.2081979505751406E-7,4.9264182067076945E-8,-1.9059233302698431E-8]
["〝","〝",{"$f":"DEGREES(C33)","v":{"$error":"#DIV/0!"}},"[deg]",0.31200000000000011,-4.8350317459911203,-4.0120476190139112,5.2208055555116912,null,-4.8350318681207476,-4.0120475692657562,5.2208055362959431,null,-1.2212962730018262E-7,4.9748154928863642E-8,-1.9215748103817987E-8]
["A＝x0",null,null,null,0.32400000000000012,-4.4190720338899254,-4.0675549402850457,5.1723229487575271,null,-4.4190721571585243,-4.0675548901239749,5.1723229294136059,null,-1.2326859888389663E-7,5.0161070852539069E-8,-1.9343921131564912E-8]
["B＝x'0＋ωx0",null,null,null,0.33600000000000013,-4.0201216354586258,-4.1181733826649403,5.1232037915295967,null,-4.0201217597036667,-4.1181733321584257,5.1232037720843424,null,-1.2424504092223287E-7,5.0506514526205137E-8,-1.9445254295646919E-8]
[null,null,null,null,0.34800000000000014,-3.6376077453439102,-4.1641036032226415,5.073505539558619,null,-3.6376078704108785,-4.1641035524347183,5.0735055200374379,null,-1.2506696833725073E-7,5.0787923200346086E-8,-1.9521181116033404E-8]
[null,null,null,null,0.36000000000000015,-3.2709751600510053,-4.2055394914941555,5.0232832815069068,null,-3.2709752857930816,-4.2055394404855546,5.023283261933825,null,-1.2574207630677847E-7,5.1008600898683198E-8,-1.957308182198858E-8]
["減衰振動解析解",null,null,null,0.37200000000000016,-2.9196857652396666,-4.2426683776138985,4.9725898189238151,null,-2.9196858915174388,-4.2426683264421774,4.9725897993215371,null,-1.2627777223883641E-7,5.1171721082710064E-8,-1.9602278023000963E-8]
["x''+2ζωx'+ω^2x=0",null,"運動方程式",null,0.38400000000000017,-2.5832180374382823,-4.2756712343806171,4.9214757437401877,null,-2.5832181641194545,-4.2756711831002869,4.9214757241301506,null,-1.2668117221892317E-7,5.1280330204406255E-8,-1.9610037149675463E-8]
["x＝(A＋Bt)e^(－ωt)",null,"解析解",null,0.39600000000000019,-2.2610665597805699,-4.3047228734284051,4.8699895133735476,null,-2.2610666867396674,-4.3047228220910574,4.8699894937759742,null,-1.2695909745730205E-7,5.1337347706237324E-8,-1.9597573341911811E-8]
["x'＝Be^(－ωt)－ωx",null,null,null,0.4080000000000002,-1.9527415513800257,-4.3299921356687685,4.8181775235137749,null,-1.9527416784981391,-4.3299920843231874,4.8181775039477222,null,-1.2711811336885148E-7,5.1345581120187944E-8,-1.9566052777975074E-8]
["x''＝－2ωx'－ω^2x",null,null,null,0.42000000000000021,{"$f":"-2*$C$25*G43-$C$25^2*H43","v":-1.6577684099676624},-4.3516420761651231,{"$f":"($C$31+$C$32*E43)*EXP(-$C$25*E43)","v":4.7660841786570387},null,-1.6577685371321813,-4.351642024857405,4.7660841591404504,null,-1.2716451891492397E-7,5.1307718074156128E-8,-1.9516588345425134E-8]
[null,null,null,null,0.43200000000000022,{"$f":"-2*$C$25*G44-$C$25^2*H44","v":-1.3756872674285887},-4.3698301435967144,{"$f":"($C$31+$C$32*E44)*EXP(-$C$25*E44)","v":4.7137519604538616},null,-1.3756873945329637,-4.3698300923703712,4.7137519410036122,null,-1.2710437502505556E-7,5.1226343167343202E-8,-1.9450249411079312E-8]
[null,null,null,null,0.44400000000000023,-1.1060525578829505,-4.3847083544645695,4.6612214939353072,null,-1.1060526848264303,-4.3847083033606413,4.6612214745672489,null,-1.2694347972797004E-7,5.1103928200291193E-8,-1.9368058268298682E-8]
[null,null,null,null,0.45600000000000024,-0.84843259796609516,-4.3964234621879825,4.6085316116795063,null,-0.84843272465350594,-4.3964234112451344,4.6085315924085108,null,-1.2668741078414314E-7,5.0942848162094378E-8,-1.9270995466058594E-8]
[null,null,null,null,0.46800000000000025,-0.60240917897241886,-4.4051171212358478,4.5557194159789525,null,-0.60240930531392678,-4.4051170704904736,4.5557193968189553,null,-1.2634150792223409E-7,5.0745374124971931E-8,-1.915999714441341E-8]
[null,null,null,null,0.48000000000000026,-0.36757717053610151,-4.4109260464332909,4.5028203390673163,null,-0.36757729644700987,-4.4109259959196017,4.5028203200313541,null,-1.2591090836622243E-7,5.0513689231479475E-8,-1.9035962139923868E-8]
[null,null,null,null,0.49200000000000027,-0.14354413553105516,-4.4139821675800679,4.4498682014628317,null,-0.14354426093157713,-4.4139821173301899,4.4498681825630841,null,-1.2540052196641227E-7,5.0249878036368045E-8,-1.8899747544764978E-8]
["過減衰","ζ>1",{"$f":"IF($C$29>1,\"'過減衰\",\"\")","v":""},null,0.50400000000000023,7.007004411926232E-2,-4.4144127795135546,4.396895268483739,null,7.0069919304184936E-2,-4.4144127295576139,4.3968952497315676,null,-1.2481507738471009E-7,4.9955940717438807E-8,-1.8752171371261284E-8]
["臨界減衰","ζ=1",{"$f":"IF($C$29=1,\"'臨界減衰\",\"\")","v":"'臨界減衰"},null,0.51600000000000024,0.27363353102297339,-4.4123406877453908,4.3439323049896474,null,0.27363340686387261,-4.4123406381115959,4.3439322863956278,null,-1.2415910077834269E-7,4.9633794851899893E-8,-1.859401965731422E-8]
["減衰振動","0<ζ<1",{"$f":"IF(AND(0<$C$29,$C$29<1),\"'減衰振動\",\"\")","v":""},null,0.52800000000000025,0.46750288558456887,-4.4078843497973317,4.2910086284011895,null,0.46750276214766018,-4.4078843005120625,4.2910086099751474,null,-1.234369086944298E-7,4.9285269199117465E-8,-1.8426042025510014E-8]
["単振動","ζ=0",{"$f":"IF($C$29=0,\"単振動\",\"\")","v":""},null,0.54000000000000026,0.65202340923828928,-4.4011580123584126,4.2381521600488403,null,0.65202328658562081,-4.4011579634462912,4.238152141799886,null,-1.2265266846611667E-7,4.8912121464184111E-8,-1.8248954347654944E-8]
[null,null,null,null,0.55200000000000027,0.82752947792706166,-4.3922718443820852,4.1853894749003198,null,0.82752935611671674,-4.3922717958660611,4.1853894568368819,null,-1.2181034492186882E-7,4.8516024087064125E-8,-1.806343785659692E-8]
[null,null,null,null,0.56400000000000028,0.99434486609675687,-4.3813320662388175,4.1327458497146283,null,0.99434474518299965,-4.3813320181402293,4.1327458318444794,null,-1.2091375722889097E-7,4.8098588223410843E-8,-1.78701489161881E-8]
[null,null,null,null,0.57600000000000029,1.1527830614679182,-4.3684410750363067,4.0802453096693272,null,1.1527829415013713,-4.3684410273749643,4.0802452919996215,null,-1.199665469187039E-7,4.766134242828457E-8,-1.7669705698608595E-8]
[null,null,null,null,0.5880000000000003,1.3031475708403306,-4.3536975662165389,4.0279106735064563,null,1.3031474518681279,-4.3536975190107814,4.0279106560437494,null,-1.1897220275614018E-7,4.7205757525148329E-8,-1.7462706836113284E-8]
[null,null,null,null,0.60000000000000031,1.4457322171785734,-4.3371966515357094,3.9757635972410661,null,1.4457320992445126,-4.3371966048024788,3.9757635799913507,null,-1.179340607393442E-7,4.6733230618656307E-8,-1.7249715433820256E-8]
[null,null,null,null,0.61200000000000032,1.5808214282202275,-4.3190299735302524,3.9238246164751955,null,1.5808213113649039,-4.3190299272851478,3.9238245994439218,null,-1.1685532363969742E-7,4.6245104634579093E-8,-1.7031273724654739E-8]
[null,null,null,null,0.62400000000000033,1.7086905168416191,-4.2992858165692276,3.8721131873588228,null,1.708690401102583,-4.2992857708265753,3.8721131705509295,null,-1.1573903613282255E-7,4.5742652332592115E-8,-1.6807893299386478E-8]
[null,null,null,null,0.63600000000000034,1.8296059534098461,-4.2780492145906592,3.8206477262381977,null,1.8296058388217205,-4.2780491693635616,3.8206477096581315,null,-1.1458812565479093E-7,4.5227097622557721E-8,-1.6580066208859989E-8]
[null,null,null,null,0.64800000000000035,1.9438256303433814,-4.2554020556165852,3.7694456480307399,null,1.9438255169380092,-4.2554020109169848,3.7694456316824825,null,-1.1340537220405622E-7,4.469960046549204E-8,-1.6348257414477985E-8]
[null,null,null,null,0.66000000000000036,2.0515991190977356,-4.2314231831390696,3.7185234033646357,null,2.0515990069042953,-4.2314231389777985,3.7185233872517247,null,-1.1219344031587752E-7,4.4161271084419695E-8,-1.6112911005450314E-8]
[null,null,null,null,0.67200000000000037,2.1531679197865579,-4.2061884944667609,3.6678965145201214,null,2.1531678088316877,-4.2061884508535954,3.6678964986456735,null,-1.1095487018053518E-7,4.3613165523481712E-8,-1.5874447978347916E-8]
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[null,"技術的なご質問のみお受けします。"]
[]
[null,null,"sxsijk@Gmail.com","sxsijk@Gmail.com"]
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[]
[]
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