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1、Thisarticlewasdownloadedby:[ZhejiangUniversity]On:01April2013,At:00:32Publisher:Taylor&FrancisInformaLtdRegisteredinEnglandandWalesRegisteredNumber:1072954Registeredoffice:MortimerHouse,37-41MortimerStreet,LondonW1T3JH,UKMechanicsofStructuresandMachines:AnInternationalJourna
2、lPublicationdetails,includinginstructionsforauthorsandsubscriptioninformation:http://www.tandfonline.com/loi/lmbd19OntheCriticalSpeedsofRotatingThickorThinRingsaaJ.L.Lin&W.SoedelaSCHOOLOFMECHANICALENGINEERINGPURDUEUNIVERSITY,WESTLAFAYETTE,INDIANA,47907,USAVersionofrecordfirs
3、tpublished:21May2007.Tocitethisarticle:J.L.Lin&W.Soedel(1988):OntheCriticalSpeedsofRotatingThickorThinRings,MechanicsofStructuresandMachines:AnInternationalJournal,16:4,439-483Tolinktothisarticle:http://dx.doi.org/10.1080/08905458808960272PLEASESCROLLDOWNFORARTICLEFulltermsa
4、ndconditionsofuse:http://www.tandfonline.com/page/terms-and-conditionsThisarticlemaybeusedforresearch,teaching,andprivatestudypurposes.Anysubstantialorsystematicreproduction,redistribution,reselling,loan,sub-licensing,systematicsupply,ordistributioninanyformtoanyoneisexpress
5、lyforbidden.Thepublisherdoesnotgiveanywarrantyexpressorimpliedormakeanyrepresentationthatthecontentswillbecompleteoraccurateoruptodate.Theaccuracyofanyinstructions,formulae,anddrugdosesshouldbeindependentlyverifiedwithprimarysources.Thepublishershallnotbeliableforanyloss,act
6、ions,claims,proceedings,demand,orcostsordamageswhatsoeverorhowsoevercausedarisingdirectlyorindirectlyinconnectionwithorarisingoutoftheuseofthismaterial.MECH.STRUCT.&MACH.,16(4),439-483(1988-89)OntheCriticalSpeedsofRotatingThickorThinRingsJ.L.LinandW.SoedelSCHOOLOFMECHANICALE
7、NGINEERINGPURDUEUNIVERSITYWESTLAFAYETTE,INDIANA47907,USAABSTRACTBasedonanewgeneralmodelofarotatingthickorthinringonanelasticfoundationthatisdevelopedinthispaper,theeffectsthatfoundationstiffness,pressureloadingandstructuraldampinghaveonthedevelopmentofstandingwavephenomenais
8、investigated.Simpli-fiedmodelsforextensiblethinringsandinextensiblethickrin
