高速機車-輪軌耦合系統(tǒng)的非線性動力學(xué)研究.pdf

1、北京工業(yè)大學(xué)碩士學(xué)位論文高速機車輪軌耦合系統(tǒng)的非線性動力學(xué)研究姓名：吳凡申請學(xué)位級別：碩士專業(yè)：機械設(shè)計及理論指導(dǎo)教師：張偉20070501北京工業(yè)大學(xué)工學(xué)碩士學(xué)位論文ABSTRACTDevelopmentofhi曲speedtrainisoneofthemostimportantaspectsoftrafficdevelopmentThedynamicpropertiesofthetrackandtrainsystemareneede

2、dtostudywhollyanddeeplyasthetrainspeedisincreasinghigherandhigherResearchonthedynamicresponsesofhighspeedtraintrackcoupledsystemisimportantforridecomfort，reliabilityandsafety(1)Inthispaperanewmechanicsmodeloftheinplanevi

3、brationfortrain—trackcoupledsystemisproposedtoanalyzethenonlineardynamicsoftraintrackinteractioninthecaseofhighspeed，Accordingtothedynamicsresponseanalysisoftrackstructure，theconclusionismadethatthetrackstructureisinthee

4、lasticworkingstateunderdynamicloadcausedbycarsandlocomotivesTakingtheconclusionasbaSesatransformationanddistributionmodelfortheverticalforcesthroughthetiesandballastisestablishedThetrackissampledasEulerbeamThevibrationof

5、trainandtrackareaffectedeachotherandthetrackissampledasamovingmassonthenonlinearspringAccordingtOthestressanalysisandusingHamiltonprinciple，weobtainthegovemingequationofmotionforthetrain—trackcoupledsystem(2)InthisPapert

6、hegoverningequationsofmotionofhigh—speedtrain—trackcoupledsystemfortheinplanevibrationconsistofanordinarydifferentialequationandapartialdifferentialequation，Thegovemingequationofmotionforthetrain—trackcoupledsystemisnonl

7、inearWhenthefrequencyofthetrainisequaltOthefrequencyofthetrackandwhenthefrequencyofthetrainistwiceasthefrequencyofthetrack，thevibrationofsystemisgrowingThemethodofmultiplescalesandGalerkinapproacharedirectlyappliedtOtheg

8、overningequationstOobtaintheaveragedequationTheforrnulmionofthesystemincludesthequadraticandcubicnonlinearitiesandparametricexcitationNumericalsimulationisutilizedtoobtainthenonlinearresponsesofhigh—speedtraintrackcouple

9、dsystemTheinfluenceofhighspeedonthetrain—trackcoupledsystemisconsideredWeobtainthewaveform，phaseportraitandthree—dimensionalphaseportraitofthemotion(3)WegetalotresulUinthenumericalsimulationsAndwecanusethewaveform，phasep