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1、DynamicModelingofVehicleGearboxforEarlyDetectionofLocalizedToothDefectNagwaAbd-elhalim,NabilHammed,MagdyAbdel-hady,ShawkiAbouel-SeoudandEidS.MohamedHelwanUniversityABSTRACTDynamicmodelingofthegearvibrationisausefultooltostudythevibrationresponseofagearedsystemundervariousgearparame
2、tersandoperatingconditions.Animprovedunderstandingofvibrationsignalisrequiredforearlydetectionofincipientgearfailuretoachievehighreliability.However,theaimofthisworkistomakeuseofa6-degree-of-freedomgeardynamicmodelincludinglocalizedtoothdefectforearlydetectionofgearfailure.Themodel
3、consistsofagearpair,twoshafts,twoinertiasrepresentingloadandprimemoverandbearings.Themodelincorporatestheeffectsoftime-varyingmeshstiffnessanddamping,backlash,excitationduetogearerrorsandmodifications.Theresultsindicatethatthesimulatedsignalshowsthatasthedefectsizeincreasestheampli
4、tudeoftheaccelerationsignalincreases.Thecrestfactorandkurtosisvaluesofthesimulatedsignalincreaseasthefaultincreases.Thoughthecrestfactorandkurtosisvaluesgivesimilartrends,kurtosisisabetterindicatorascomparedtocrestfactor.KEYWORDS:Vibrationacceleration,systemmodeling,CrestFactor,Kur
5、tosisvalue,defectsize,gearmeshing,pinion,gearNOMENCLATURE,,,Drivemotor,pinion,gear,andloadmassmomentofinertiareplacementdecisioninasuitabletime.,Massesofpinionandgear.Drivingmotortorque.Loadtorque.第7页共7页,Frictiontorque.,Viscousdampingcoefficientofpinionandgearbearing.Gearmeshdampin
6、g.Gearmeshstiffness.,Pinionandgearshaftstiffness.Thevariancesquare.Thenumberofsamples.Thedefectwidthinfacedirection.UnitwidthHertzianstiffness.,,,Angulardisplacementofdrivemotor,pinion,gearandload.,,,Angularvelocityofdrivemotor,pinion,gearandload.,,,Angularaccelerationofdrivemotor,
7、pinion,gearandload.INTRODUCTIONMuchofthepastresearchinthedynamicmodelingareahasconcludedthatanessentialsolutiontotheproblemistouseacomprehensivecomputermodelingandsimulationtooltoaidthetransmissiondesignandexperiments.Thesehavebeentwomajorobstaclestosuchanapproach:(1)Progressinunde
8、rstandingofthebasicgearrat