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11-11-21-31-41Cn*nunu2I*nu1I03≠Ictu↓↓du↓nu*nunu2Cctu↓du↓nu↓2I↓03≠Ictu↑du↑3Cctudu1-51-41*nU271-412345678900rucueudu2φ00curucurueudu2φcurucu1-6161612345678“”“”“”“”“”“”gkuggufu“”“”=-0fugguu∆ggufuu∆=0“”“”=-0=0fugkuu∆gkufuu∆“”“”“”=“”=fugkufuggu1-717•17U=-fufu1u01RR++00rufurufu1u2u+00furufu1u2u22-12-1abRCcdRCru(t)cu(t)2R2Ccu(t)−++−ru(t)1C1R2R2Ccu(t)−++−ru(t)1R1Ca)ru(t)1R+−cu(t)−bR2R2Cru(t)1R+−cu(t)−bR2R2C3C3Rc)d)2-1(a)2221212121212121()()11()()crRUssCRCCsC1UsRRCCsCCRRsCsC++===++++++Ts(b)222121211222121211221212121()()()11()()1//crRUssCRRCCsRCRCs1UsRRCCsRCRCRCsRRsCsC++++===Ts++++++(c)122()()1crUsUsRRsC=+2212()1()()crUsRCsTsUsRCs+⇒==(d)122()()1(//)crUsUsRRsC=2122()1()()1crUsRTsUsRRCs⇒==+2-22-2LCRLCiu(t)ou(t)iu(t)+−ou(t)1RLC2Rcu(t)++−−iu(t)+−ou(t)2L1Ccu(t)++−−1L2C+−a)b)22a)LCb)RLC(a)1122122()()()()()()()()()iLccLocLLoLUssLIsUsUssLIsUssUIsIssUIs=+⎫⎪=+⎪⇒⎬=−⎪⎪=⎭0421212112212()1()()()1iUsTsUsLLCCsLCLCLCs==++++(b)1121222()()()()()()()()()iRccRocRRoRUsRIsUsUssLIsUssCUIsIsURIs=+⎫⎪=+⎪⇒⎬=−⎪⎪=⎭0221121()()()()iUsRTsUsLCRsRRCLsRR==2++++2-3TR600.2TR10000e−=20CDCD000.20.20100002000()TTReeT−−=−T−020T=D36.6930RT=−+060T=D0.01220.793RT=−+2-42-4abF(t)1x(t)m1f1k2k1x(t)2x(t)mF(t)fk1x(t)M2x(t)F(t)2-4(a)211212222122121222()[()()][()()]()[()()]()()()[()()]()dxtdxtxtMkfxtxtFtdtdtdxtxtdxtdxtdxtkfxtxtmFtMmdtdtdtdt⎧−++−=⎪⎪⎨−⎪+−=−=⎪⎩2222⇒21121222121221()[()()][()()]()[()()][()()]()()()MsXsksXsXsfXsXsFsksXsXsfXsXsmsXsFsMsXsmsX⎧+−+−=⎪⎨−+−=−=⎪⎩⇒2122()()[()()]XsmsksfFssMmsMmksMmf++=++++(b)21121112221211112222()[()()][()()]()[()()]()[()()]()()()dxtdxtxtmfkxtxtFtdtdtdxtxtdxt22fkxtxtkxtFtmkxtdtdt⎧−++−=⎪⎪⎨−⎪+−=−=⎪⎩⇒2111211221211222122()[()()][()()]()[()()][()()]()()()()msXsfsXsXskXsXsFsfsXsXskXsXskXsFsmsXskXs⎧+−+−=⎪⎨−+−=−=⎪⎩⇒11123211221()()()XsfskkFsmfsmkkskfskk++=++++12i2-52-52udu(t)iu(t)21()2.34cos[()]dutUKut=1K(1)1iKu(t)35°=(2)(3)iu(t)cM(t)1(t)ω2-5(1)212()2.34{0.820.57[()35]}2.34{1.1680.57()}diutUKutUKut=−−=−D1i(2)(2-5)(2-6)(2-17)2122.73()1.34()(1)()()()()(25)()()(26)()()()()(217)diaaedmacUUsKUUssLsIsRIsCsUsMsCIsJssfsMsMsΩΩΩ111⎧=−⎪⎪⎪++=−⎨⎪=−⎪′+=−−⎪⎩21212212()()////ccMsMsirrJJJifffi′=⎧⎪=⎪⎨=+⎪⎪=+⎩i(3)+()cMs′1()sΩ—()iUs2U2.73sJsf+mLsRC+1eC()Ms—121.34KU()0Ms=⇒()0Ms′=cc⇒132212()12.731.34()()()mmisCUKCUsUsJLsJRfLsfRCCsΩ=−+++me+()0iUs=⇒1322()12.73()()()()mcsCULsRMsJLsJRfLsfRCCsΩ=′−+++++me⇒1322()12.73()()()()mcsiCULsRMsiJLsiJRifLsifRiCCsΩ=−+++++me2-62-612CC1F==µ1R160k=Ω2R220k=Ω3R1k=Ω4R100k=ΩcrU(s)/U(s)ru(t)1R+−cu(t)2R2C+−4R1C3R2-611341212()()()(),11//crUSUsUsUSRRRRsCsC=−=−+214121211221312()()()1()()()()()()ccrrUsUsUsRRRCCsRCsRCsTsUsUsUsRRCs+++⇒==⋅=−−2212412141242413222237.5625RRRCCsRRCsRRCsRssRRCss+++++==2-72-71µ2µ1µ1Kµru(t)h(t)aRaL+−()aut+−+(t)ω(t)θrQ1µ2µ+−+−SUcQ()ht0R1R()rut0RSU2-7(2-8b)(2-58)F()futfK10211111()()()()(1)()(2()()()(258)()1()()rfddlmmeffUsUsUsRRUsTTsTssbCsKssKHssTsHsKUsµΩΩµµ−⎧=⎪⎪⎪++=−⎪⎪⎪⎪=⋅⎨⎪⎪=−⎪+⎪⎪=⎪⎪⎩8)101201222alaamemLTRJRTCCkHKkFHTk⎧=⎪⎪⎪=⎪⎪⎨⎪=⎪⎪⎪=⎪⎩()fUs()Hs—()rUs11Ksµ1fK21(1elmmCTTsTs)++10RR111KTs+21()()(1)(1)frlmmKKHsUssTsTTsTsK=++++1110feKRKKKRCµ=2-82-8R(s)1GC(s)2G3G4G1H2HR(s)1GC(s)2G3G4G1H2H+−+−−−3H2-8(a)341211234232()()1GGGGHTsGGGGGGH+=+−⇓⇓⇓⇓⇓(b)123423134212343()1GGGGTsGGHGGHGGGGH=+++⇓⇓⇓⇓⇓2-92-9(1)1C(s)TR(s)=(2)2C(s)T(s)N(s)=R(s)aC(s)N(s)ebcdghf2-9(1)1Tabcd=11∆=1Le=−2Lb=−gh3Lc=−1231311LLLLLebgchech∆=−−−+=++++1()()()1CsabcdTsRsebgchech==++++(2)T1fcd=gh11e∆=+1Le=−2Lb=−3Lc=−1231311LLLLLebgchech∆=−−−+=++++2()(1)()()1CsfcdeTsNsebgchech+==++++2-102-10R(s)C(s)1111G2G3G4G11−1−1−2-1011TGG=34TGGG=−11∆=TGGG=−11∆=LGG=−22LGG=−3124LGGG11∆=22TGG=21∆=312442131134=421LGGG3=51LGG=2)132412341(1GGGGGGGG∆=++−++132412312413241234()()()1(1)GGGGGGGGGGCsTsRsGGGGGGGG+−−==++−++2-112-11a)b)2-11(a)11234TGGGG=11∆=134LGG=−223LGGH=−3123LGGGH21=−412343LGGGGH=−341231232123431GGGGGHGGHGGGGH∆=++++123434123123212343()()()1GGGGCsTsRsGGGGGHGGHGGGGH==++++(b)11234TGGGG=11∆=2523TGGGG=41LGH=−22LGH=−3233LGGH211GH∆=+1112=−LGGGGH=−552344LGGGGH=−4123441234512131511222331234423454121212313123451411LLLLLLLLLLLGHGHGGHGGGGHGGGGHGGHHGGGHHGGGGGHH∆=−−−−−+++=++++++++23415151()()()()GGGGGGGHCsTsRs++==∆2-122-12002R(s)1C(s)1R(s)2C(s)1C(s)1R(s)2C(s)2R(s)21C(s)/R(s)5G(s)5G(s)1R(s)11C(s)1G(s)12G(s)1H(s)−2R(s)12C(s)3G(s)14G(s)6G(s)5G(s)2H(s)−2-12112634()()()()()TGsGsGsGsGs=11∆=2154()()()TGsGsGs=21∆=1121()()()LGsGsHs=−2342()()()LGsGsHs=−1213421234121()()()()()()()()()()()()GsGsHsGsGsHsGsGsGsGsHsHs∆=+++1234614521121342123412()()()()()()()()()()()1()()()()()()()()()()()()GsGsGsGsGsGsGsGsCsTsRsGsGsHsGsGsHsGsGsGsGsHsHs+==+++5236()()()()GsGsGsGs=−33-15G(s)s=()()5()()1()5CsGsTsRsGss===++5111()()()55CsTsRsssss⇒==⋅=−++⇒5()11ttTctee−−=−=−0.2T⇒=⇒30.6(0.05)stT==∆=40.8(0.02)stT==∆=3-25G(s)s(0.2s1)=+2()()25()()1()525CsGsTsRsGsss===+++225nω⇒=52=nξω⇒5nω=0.5ξ=⇒2313%100%100%16.3%eeξππξσ−−−=×=×=24330.48451rntπππωξ−===−2230.73151pntππωξ===−31.2(0.05)sntξω==∆=41.6(0.02)sntξω==∆=3-33-3(1)nω(2)R(s)C(s)4s(0.5s1)+sτ−−E(s)3-32()()8()()1()(82)8CsGsTsRsGsssτ===++++(1)0τ=⇒82.83nω==20.354ξ==22200021lim()lim[1()]()lim0.2528sssssssesEssTsRsssss→→→+==−==++(2)0.707ξ=282nζωτ=+2.83nω=⇒0.25τ=3-434KG(s)s(sa)=+KaSystem: