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1、EuropeanJournalofMechanicsA/Solids26(2007)541557Contactanalysisofaflexiblebladed-rotorN.Lesaffre∗,J.-J.Sinou,F.ThouverezEcoleCentraledeLyon,LaboratoiredeTribologieetDynamiquedesSystèmes,UMRCNRS5513,EquipeDynamiquedesSystèmesetdesStructures,36,avenueGuydeCollongue
2、,69134EcullyCedex,FranceReceived1December2005;accepted30November2006Availableonline29December2006AbstractThispaperpresentsamodeloffullyflexiblebladedrotordevelopedintherotatingframe.Anenergeticmethodisusedtoobtainthematrixequationsofthedynamicbehaviourofthesystem
3、.Thegyroscopiceffectsaswellasthespinsofteningeffectsandthecentrifugalstiffeningeffects,takenintoaccountthroughapre-stressedpotential,areincludedinthemodel.Intherotatingframe,theeigenvaluesimaginarypartsofthelattermatrixequationgivetheCampbelldiagramofthesysteman
4、ditsstabilitycanbeanalysedthroughitsassociatedeigenvaluesrealparts.Theturbomachinecasingisalsomodelledbyanelasticringintherotatingframethroughanenergeticmethod.Thus,insomerotationalspeedrangesthecontactproblembetweentherotorandthestatorcanbetreatedasastaticprobl
5、emsincebothstructuresarestationarytoeachother.Priortothestudyofthecompleteproblemofcontactbetweentheflexiblebladesoftherotorandtheflexiblecasing,asimplemodelofanelasticringhavingonlyonemodeshape,excitedbyrotatingloadsisdevelopedintherotatingframetoo,inordertounder
6、linedivergenceinstabilitiesandmodecouplings.Then,thecompleteproblemoffrictionlessslidingcontactbetweenthebladesandthecasing,withoutrubbing,isstudied.Thestablebalancedstaticcontactconfigurationsofthestructurearefoundasfunctionoftherotationalspeedoftherotor.Finally
7、,theresultsarecomparedtotheseofthesimplemodelofrotatingspring-massesonanelasticring,showinggoodadequacy.Thepresentmodelofrotorappearsthusparticularlyadaptedtothestudyofblades-casingcontactsandhighlightedanunstablephenomenonnearthestatorcriticalspeedevenincaseoff
8、rictionlesssliding.©2006ElsevierMassonSAS.Allrightsreserved.Keywords:Rotordynamics;Flexiblebladed-rotor;Stabilityanalysis;Campbelldiagram;Rotor/statorcontacts;Rotatin
