滚动轴承_转子系统的非线性动力学分析

20-710055--O347:ATheNonlinearDynamicsAnalysisoftheRotorSystemwithRollingBearingsZhangLiqinZhangXiaolongChangYinghuiAbstractTheeffectofradialinternalclearancewhichisnonlinearfactoronthestiffnessofrollingbearingsiscon-sideredandthemathematicalmodeloftherotorsystemsupportedbyrollingbearingsisestablished.Thebifurcationchar-acteristicandchaosbehavioroftherotorsystematthesituationofdifferentinternalclearanceanddifferentrotatingspeedofbearingshavebeenstudied.Bymeansofstudyingthenonlineardynamicsoftherotorsysteminthecaseofeachinternalclearanceitisindicatedthattherollingbearinginternalclearanceistheimportantfactorwhichaffectthemovementofrotorsystem.Keywordsclearancerollingbearingrotorbifurcationchaos-Sankaravelu1TiwariGupta2-Poincare-1.121=0==+134=1.5,0=1.5+0,02i2[5]61903=7.055×109N/m1.52,02006052621HEAVYMACHINERYSCIENCEANDTECHNOLOGY2=cos+sin0OBAOo==1(cos+sin01.5+cos==1(cos+sin01.5+sin3=21++(=1,2,,)41.2322++=++=053=0=02=0===+11.50=6==1cos+sin11.5+cos==1cos+sin11.5+sin(=1,2,,1=21++7(7)-6Runge-Kutta0=00=00=00=061/2005004001005×10-4MATLAB22=20.25N=0.9kg=300Ns/m=9=9.37mm=14.13mm-[6]2.10=45µm454[1000026000]11391r/min166002214222761r/min6Poincare/(r/min)nd/d/(m/s)xt/mx/(r/min)nd/d/(m/s)yt/(r/min)nd/d/(m/s)yt/(r/min)nd/d/(m/s)yt/myd/d/(m/s)xt/mx23HEAVYMACHINERYSCIENCEANDTECHNOLOGY10652r/min21500r/minPoincare2.20=13.5µm713.5µm8=14400r/min/mx/(r/min)nd/d/(m/s)xt/mx(1440014700)r/min(2310023700r/min472.30=6.75µm6.75µm924400r/min25300r/min4792.40=2.25µm100=2.25µm11071r/min13643r/min479/mx/(r/min)n/mx/(r/min)n-26263.44CAD(DesingforMassCustomiza-tionDFMC)(reconfigurable)(reudable)(scalable)56[1]...2000.[2]..2001(3)245252.[3]..199915(1)912.[4]..199911(2)168171.[5]KusiaKDA.RoboticsandComputerIntegratedManufacturing.199814415.[6]TsengMMJiaoJ.AnnalsoftheCIRP.199645153.(231-234[1]SankaraveluANoahSTBurgerCPBifurcationandchaosinballbearings[J].NonlinearandStochasticDynamics1994192.313325.[2]MTiwariandKGuptaEffectofradialinternalclearanceofaballbearingonthedynamicsofabalancedhorizontalrotor[J]JournalofSoundandVibration2000238:723756.[3][M]2003.[4][J]2005201:5459.[5]S.FukataE.H.GadandH.TamuraOntheradialvibrationofballbearing(computersimulation)[J].BulletinoftheJSME198528:899904.[6][J]200602:159169.