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1、331ModellingofdynamiccharacteristicsofanautomatictransmissionduringshiftchangesNZhang1,DKLiu1*,JMJeyakumaran2andLVillanueva21FacultyofEngineering,UniversityofTechnology,Sydney,NewSouthWales,Australia2ResearchandDevelopmentDepartment,BTRAutomotive,Faireld,NewSouthWa
2、les,AustraliaAbstract:Thispaperdescribesmodellingofthetransientdynamicsofanautomatictransmissionduringgearchanges.Abriefintroductiontotheautomatictransmissionsystemandthedynamiccharacteristicsofthetransmissioncomponentsduringthegearchangesarepresented.Then,detailed
3、mathematicalmodelsofafour-speedautomatictransmissionmanufacturedbyBTRAutomotive,Australia,aredeveloped.Amodedescriptionmethodisusedtodescribethetransientshiftingprocessandamodularstructureofthetransmissionsystem,whichconsistsofatorqueconvertermodule,geartrainmodule
4、,hydraulicsystemmoduleandmodulesofclutchesandbands,ispresented.Asanapplication,thedevelopedsimulationsystemisappliedtoinvestigatethetransientperformanceoftheautomatictransmissionduringthe1–2shiftprocess.Theoutputtorqueprolespredictedbythemodelsimulationcorrelatever
5、ywellwiththeexperimentaldatameasuredfromvehicletests.Keywords:dynamicmodelling,transientcharacteristics,automatictransmissions,gearshiftingNOTATIONrradiusRdrumradiusofthebanddA(t)owareaRinnerradiusoftheclutchfrictionplatesicoriceowratecoeYcientRouterradiusoftheclut
6、chfrictionplatesoCradialclearanceofthevalvettimedRdiameterofthevalvesTtorqueFforceV(t)oilvolumeasafunctionoftimeHHeavisidestepfunctionXstrokeofthevalve/pistonispeedratiobbandwrapangleImassmomentofinertiaBb(p)bulkmodulusasafunctionofpressurek,kclutch/bandstiVness01b
7、bulkmodulusatp=plowlengthbetweenends1and200cairratioatpressurepLlengthvectorsaicairratioatp=pMmodesofoperation00ie,koilpropertyconstantsnnumberofcontactsurfacesinthemultidischÇangularvelocityclutchpackh¨angularaccelerationppressureqdynamicviscosityoftheoilpÇpressur
8、eratemstaticordynamicfrictioncoeYcientofthepatmosphericpressureC0clutchpppressuredropacrosstheends1and212mstaticordynamicfrictioncoeYcientoftheQÇ
