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IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaPolyMax()SIMOMIMOIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,Chinaf(t)x(t)kcmfkxxcxm=++kcmxxxfIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China)()()()(tftKxtxCtxM=++md1+d2d1211+2121+2()()()()====ttttfxxxIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,Chinagroundm1c1k1f1(t)m2mngroundkn+1k2c2cn+1f2(t)fn(t)x1(t)x2(t)xn(t)()()()()MxtCxtKxtft++=2()()()sMsCKXsFs++=*2,1kkkkkkjλλ=−ζω±−ζωIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China•IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China22φq11qφ++++==++++……33φq44qφIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China•110.220263.6233177.084344.85IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China“”“”“”IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China•F:2•X:240⇒H480XX==HH**FF)(ωX)(ωF)(ωHIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••“”•“”[]⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡=∑=NrNrrNrrNrNrrrrrrNrrrrrrNrrYHϕϕϕϕϕϕϕϕϕϕϕϕϕϕϕϕϕϕ###2122212121111[][]NrrrNrrrririNiicjmkHHHϕϕϕωωϕ211221∑=+−=IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China—0221AAξξ=−1ξ0rωω=“”201rωωξ=−IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China3.IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China•Theoriginalbridgewasasuspendedplategirdertypethatcaughtthewind,ratherthanallowingittopassthrough.•Thewindproducedaforceinresonancewiththenaturalfrequencyofthebridge.•Increasingtheamplitudeuntilthebridgecollapsed.(ResonancebyKetanModi)IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••{}{}{}{}XHFFHX1)]([)]([−==ωωIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,Chinaf=32.9f=32.9HzHzξξ=8.5=8.5%%f=78.3f=78.3HzHzξξ=7.0=7.0%%ATR42ATR42F100F100IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••••IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China4(a)(b)(c)(d)IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China(a)(b)(c)(d)(e)IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••••FrequencyDistanceAmplitudeBeamForceForceForceForceForceForceForceForceForceForceForceFrequencyDomainViewForceModalDomainViewAccelerationIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaMISOzz=X1H11H12H13...H1nF1X2H21H22H23...H2nF2X3H31H32H33...H3nF3:::XnHn1Hn2Hn3...HnnFnIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinakcjmFXH++−==ωωωωω21)()()(H(ω)F(ω)X(ω)ω|H(ω)|1kω∠H(ω)0º–90º–180ºω0=√k/m1ω2m1ωc)()()()(tkxtxctxmtf++=f(t)x(t)kcmIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China)f(HFrequency)f(HFrequency()IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China)(fHFrequencyf(t)x(t)kcmf(t)x(t)kcmx(t)f(t)kcmIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China•999|H|2σR/σωd0-180PhaseFrequency28.11.20ω0-180PhaseFrequency/drwwς=12()iikHwς=IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaFFTIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China••IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaMeirovitch1967,Newland,1987FawzyBishop,1976IVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,ChinaIVEIVEInstituteofVibrationEngineering,NorthwesternPolytechnicalUniversity,China””IVEIVEIn
本文标题:实验模态分析方法与应用简介
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