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1、ShockandVibration18(2011)105–114105DOI10.3233/SAV-2010-0600IOSPressNonlinearvibrationcharacteristicsofaflexiblebladewithfrictiondampingduetotip-rubDengqingCaoa,∗,XiaochunGonga,DongWeia,ShimingChuaandLigangWangbaSchoolofAstronautics,HarbinInstituteofTechnology,P.
2、O.Box137,Harbin150001,ChinabSchoolofScience,HarbinEngineeringUniversity,Harbin150001,ChinaReceived10February2010Revised20June2010Abstract.Anapproximateapproachisproposedinthispaperforanalyzingthetwo-dimensionalfrictioncontactproblemsoastocomputethedynamicrespon
3、seofastructureconstrainedbyfrictioninterfacesduetotip-rub.Thedynamicalequationofmotionforarotationalcantileverbladeinacentrifugalforcefieldisestablished.Flow-induceddistributedperiodicforcesandtheinternalmaterialdampinginthebladeareaccountedforinthegoverningequa
4、tionofmotion.TheGalerkinmethodisemployedtoobtainathree-degree-of-freedomoscillatorwithfrictiondampingduetotip-rub.Thecombinedmotionofimpactandfrictionduetotip-rubproducedapiecewiselinearvibrationwhichisactuallynonlinear.Thus,acompletevibrationcycleisdividedinto
5、successiveintervals.Thesystempossesseslinearvibrationcharacteristicduringeachoftheseintervals,whichcanbedeterminedusinganalyticalsolutionforms.Numericalsimulationshowsthattheparameterssuchasgapofthetipandtherotationalspeedofthebladeshavesignificanteffectsonthedy
6、namicalresponsesofthesystem.Finally,thenonlinearvibrationcharacteristicsofthebladeareinvestigatedintermsofthePoincaregraph,andthefrequencyspectrumoftheresponsesandtheamplitude-frequencycurves.Keywords:Nonlinearvibration,flexibleblade,frictiondamping,tip-rub,impa
7、ct1.IntroductionIntheturbinejetengineindustry,oneofthemainfailureproblemsoftheturbineenginebladescanbeattributedtohighcyclicfatiguecausedbylargeresonancestress.Preventingturbo-machinerybladefailureshasbeenanimportantissueintheturbineengine.Dryfrictiondamper,ade
8、vicetoreducevibrationamplitudeandincreasebladedamping,isprovedtobeahighlyeffectivewaytodissipateenergyofvibration.Thefrictiondamperabsorbsvibrationenergythroughthefrictionbe
