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1、ARTICLEINPRESSJOURNALOFSOUNDANDVIBRATIONJournalofSoundandVibration318(2008)549–564www.elsevier.com/locate/jsviExperimentsonroutestochaosinballbearingsa,bB.Mevel,J.L.GuyaderaS.N.R.Roulements,1ruedesusines,F74010Annecy,FrancebLaboratoireVibrations-Acoustique,I.N.
2、S.A.deLyon,20AvenueA.Einstein,F69621VilleurbanneCedex,FranceReceived28May2006;receivedinrevisedform10April2008;accepted10April2008HandlingEditor:M.P.CartmellAvailableonline10June2008AbstractThetheoreticalmotionofaballbearinghasbeenstudiedinapreviouspaper.Usingac
3、ontrolparameter,differentroutestochaosweredescribed.Theaimofthispaperistostudytheexperimentalroutestochaosinaballbearingandtoconfirmwhethertheoreticalpredictionsofthephenomenaarerealistic.Anexperimentaltestbenchhasbeenusedandanumericalprocedurehasbeenproposedforo
4、bservingPoincare´maps.Asthecontrolparametervariesthebearingclearlyshowstheappearanceofinstabilityinitsmotion.Twodifferentroutestochaosaredescribedasexpectedfromthetheory.Thefirstrouteisrelatedtothefirstresonantfrequencyofthebearing.Itisasub-harmonicroute.Thesecond
5、route,associatedwiththesecondresonantfrequency,isaquasi-periodicroute.r2008ElsevierLtd.Allrightsreserved.1.IntroductionExperimentsinballbearingsareimportantforvalidatingtheoriesandbearingbehaviour.Tomanyusersaballbearingisconsideredasablackboxcontainingballs,one
6、ballretainer,somelubricantandsometimesseals.Allpartsarerotatingexceptforonering.Bearingsarepresentinalmostallrotatingsystemsandareunknowntousersunlesssomethinggoeswrong.Thisisaninterestingfieldforresearchtodeveloppredictivemethodstowarnusersbeforeanydamageintheca
7、seofbearingfailure.Animportantliteraturedealswithbearingresponsesinconditionmonitoringinmachines.InRefs.[1,2],thebearingsvibrationsarenotonlyevaluatedbyFourierspectrumsandmeanvaluesbutalsowithcharacteristictoolsusedinnonlineardynamicssuchasphaseportraitsandPoinc
8、are´sections.Anadvancedworkinthispaperistousethesesametoolstoquantifythevibrationlevelsandtoanalysetheinternaldynamicsofaballbearing.Theunderstandingofballbearingbeha
