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1、TransmissionErrorinSpurGears:StaticandDynamicFinite-ElementModelingandDesignOptimizationByRaulTharmakulasingamBEng.MSc.(Eng)SubmittedinaccordancewiththerequirementsforthedegreeofDoctorofPhilosophySchoolofEngineeringandDesignBrunelUniversityUnitedKingdomOctober2009ACKNOWLEDGEMENTS“Successisswee
2、t:thesweeteriflongdelayedandattainedthroughmanifoldstrugglesanddefeats.”IwouldliketotakethisopportunitytothankeveryonewhohashelpedmeinmypursuitofsuccessinmyPhD.Firstly;IwouldliketothankmysupervisorDr.GiulioAlfanoforhelpingmeshapemyresearchandmotivatingmeattherighttimeswithatimelyreminderofhowm
3、uchwehaveachieved.IwouldalsoliketoDrMarkAthertonforbringingafreshperspectivetoeverythingwedidduringtheresearch,andalwaysprovidingakindearandanobjectiveviewtoallourproblems.IamalsoverygratefultoProf.LuizWrobelforprovidingmewiththeopportunitytoundertakemyPhDresearch,andalsohelpingmewithmynumerou
4、sproblemswhilecarryingoutmyresearch.Tothecolleagueswhohelpedmewithmomentsofrespiteduringahardday‘swork,inspirationbyexample,andlastingfriendships,Ithankyoufromthebottomofmyheartandlookforwardtokeepingintouch.MyfamilywhohaveenduredmyworstandcelebratedmybestoftimesduringmyPhDalsoreceiveaheartfel
5、tembraceandacknowledgementforeverythingtheyhavedoneforme.MydearfriendswhoconstantlyremindedmeofmydutytohandinmyThesisbytheincessantquestion―Haveyousubmittedyet?‖.Ithankyouforthemotivationandthecelebrationsafterwards!Finally,totheonepersonwhounderstandsmebetterthanIdomyself,Jonit,youaremylife,m
6、yloveandmysoul.IcouldnothavecompletedmyPhDwithoutyou.YouhelpedmeinsomanywaysthatIcannotbegintodescribethemonthisfinitepieceofpaper.IlookforwardtobeingthereforyouwhenyouwriteupyourPhDThesis,andhelpyouineverywayIcan.IjustwanttothankyouandletyouknowthatIwillalwaysrememberandbethereforyou,always…~
7、II~ABSTRACTThegearnoiseproblemthatwidelyoccursinpowertransmissionsystemsistypicallycharacterisedbyoneormorehighamplitudeacousticsignals.Thenoiseoriginatesfromthevibrationofthegearpairsystemcausedbytransmissionerrorexcitationthatarisesfr
