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1、英文部分ComputerizedtoothprofilegenerationofellipticalgearsmanufacturedbyshapercuttersBiing-WenBairDepartmentofMechanicalEngineering,NationalLienHoInstituteofTechnology,AbstractThisworksimulatesanellipticalgeardrive,theaxisofrotationofwhichiscoincidentwithitsgeometriccent
2、er,manufacturedbyshapercutters.Themathematicalmodelofanellipticalgearisdevelopedbasedonthetheoryofgearingandgeargenerationmechanisms.Inaddition,thetoothundercuttingofthegearisalsoinvestigatedbasedonthedevelopedmathematicalmodeloftheellipticalgear,itsunitnormalvectorsa
3、ndanumericalmethod.Ageometricrelationshipisdevelopedandappliedtopreventtheoccurrenceofpointedteethonellipticalgears.Further,thisstudyalsodevelopscomputersimulationprogramstogeneratethetoothprofileofellipticalgearswithouttoothundercuttingandpointedteeth.Comparisonofthe
4、angularvelocityvariationsoftheellipticalgeardrivesisalsomade.Theresultsshowthatthedevelopedellipticalgeardrivecanbeutilizedasanoilpumpwithalargerpumpingvolumeandlessangularvelocityvariation.©2002ElsevierScienceB.V.Allrightsreserved.Keywords:Ellipticalgears;Undercuttin
5、g;Pointedteeth1.IntroductionAnellipticalgeardrive,therotationcenterofwhichcoincideswithoneofitsfoci,iskinematicallyequivalenttothecrossedlink,andcanbeusedtoproduceirregularrotations.Inaddition,itiswellknownforprovidingexcellentcharacteristicssuchasaccuratetransmission
6、,compactsize,andeaseofdynamicbalance.Hence,ellipticalgeardriveshavebeenappliedsuccessfullyinvarioustypesofautomaticmachinery,quick-returnmechanisms,packagingmachines,andprintingpresses[1].Thistypeofgearingcanalsobeusedtodevelopnon-circulargears,whichbelongtohigh-order
7、ellipticalpitchcurves.Second-orderellipticalgeardrives,therotationcenterofwhichcoincideswithoneofitsfoci,canfinduseinthedesignofinstrumentssuchaspumpsandflowmeters[1].However,thistypeofgearsethastwospeedchangesforeachrevolution,thesetwo-cyclevariationsinducingawaveflu
8、ctuationthatissoseverethatthesecond-orderellipticalgearsetcannotbeusedasoilpumpsforsteadyoilpumping.Thedesignandmanufactureo
