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1、JournalofSoundandVibration332(2013)4979–4997ContentslistsavailableatSciVerseScienceDirectJournalofSoundandVibrationjournalhomepage:www.elsevier.com/locate/jsviFreevibrationanalysisofplanarrotatingringsbywavepropagationnDishanHuang,LiangTang,RuiCaoSchoolofM
2、echatronicsEngineeringandAutomation,ShanghaiUniversity,Shanghai200072,PRChinaarticleinfoabstractArticlehistory:Inthispaper,asystematicapproachforthefreevibrationanalysisofrotatingthinringsisReceived12February2012presentedbywavepropagation.Thesystemconsider
3、edincludesauniformringandReceivedinrevisedformmultiplebanddiscontinuities.Neglectingtransverseshear,harmonicwavesolutionsare31March2013foundforbothextensionalandinextensionalrotatingringmodels.FrequencyspectraandAccepted16April2013phasediagramareobtained,a
4、ndtheratiooftangentialdisplacementtoradialdisplace-HandlingEditor:S.Ilankomentandcut-offfrequenciesaredetermined.Meanwhile,wavereflectionandtransmis-Availableonline25May2013sionmatricesareformulatedforcrosssectionareadiscontinuitycondition.Thesematricesare
5、combined,withtheaidoffiledtransfermatrices,toprovideaconciseandefficientmethodforanalysingthefreevibrationproblemofrotatingringswithmulti-span.Thecomputedresultsareexactsincetheeffectsofattenuatingwavecomponentsareincludedintheformulation.Twoexamplesarepre
6、sentedtoillustratethevalidityofthewavepropagationapproach.Thisresearchwillbevaluableinthefreevibrationanalysisofasolidcageinhighspeedrollerbearing.CrownCopyright&2013PublishedbyElsevierLtd.Allrightsreserved.1.IntroductionThewavepropagationmethod(WPM)isapow
7、erfulapproachforacquiringresultsfromvibrationanalysisandfordevelopingasystematicproceduretoobtaindynamicpropertiesofstrings,beamsandplanes.Thestudies,whicharebasedonpropagatingwaveindynamicpropertiesofcomplexstructures(suchasmulti-spanbeams,trusses,aircraf
8、tpanels,etc.),showconcisenessinthemodelingandcomputationefficiency.Love[1]presentedprimitivestudiesonthewavemotioninacurvedbeam.Assumptionsincludedtheuseofanequivalentradiusofcurvaturesandanin-extensionalneut
