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1、Frictionallyexcitedthermoelasticinstabilityindiscbrakes—TransientprobleminthefullcontactregimeAbstractExceedingthecriticalslidingvelocityindiscbrakescancauseunwantedformingofhotspots,non-uniformdistributionofcontactpressure,vibration,andalso,inmanycases,permanentdama
2、geofthedisc.Consequently,inthelastdecade,agreatdealofconsiderationhasbeengiventomodelingmethodsofthermoelasticinstability(TEI),whichleadstotheseeffects.Modelsbasedonthefiniteelementmethodarealsobeingdevelopedinadditiontotheanalyticalapproach.TheanalyticalmodelofTEIde
3、velopmentdescribedinthepaperbyLeeandBarber[Frictionallyexcitedthermoelasticinstabilityinautomotivediskbrakes.ASMEJournalofTribology1993;115:607–14]hasbeenexpandedinthepresentedwork.Specificattentionwasgiventothemodificationoftheirmodel,tocatchthefactthatthearclengtho
4、fpadsislessthanthecircumferenceofthedisc,andtothedevelopmentoftemperatureperturbationamplitudeintheearlystageofbreaking,whenpadsareinthefullcontactwiththedisc.Awayisproposedhowtotakeintoaccountbothoftheinitialnon-flatnessofthediscfrictionsurfaceandchangeoftheperturba
5、tionshapeinsidethediscinthecourseofbraking.Keywords:Thermoelasticinstability;TEI;Discbrake;Hotspots1.IntroductionFormationofhotspotsaswellasnon-uniformdistributionofthecontactpressureisanunwantedeffectemergingindiscbrakesinthecourseofbrakingorduringengagementofatrans
6、missionclutch.Iftheslidingvelocityishighenough,thiseffectcanbecomeunstableandcanresultindiscmaterialdamage,frictionalvibration,wear,etc.Therefore,alotofexperimentaleffortisbeingspenttounderstandbetterthiseffect(cf.Refs.)ortomodelitinthemostfeasiblefashion.Barberdescr
7、ibedthethermoelasticinstability(TEI)asthecauseofthephenomenon.LaterDowandBurtonandBurtonetal.introducedamathematicalmodeltoestablishcriticalslidingvelocityforinstability,wheretwothermoelastichalf-planesareconsideredincontactalongtheircommoninterface.ItisinaworkbyLeea
8、ndBarberthattheeffectofthethicknesswasconsideredandthatamodelapplicablefordiscbrakeswasproposed.LeeandBarber’smodelismadeupwithamet
