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外文翻译-论摆线针轮减速叶剖面设计中心使用即时速度.pdf

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外文翻译-论摆线针轮减速叶剖面设计中心使用即时速度.pdf

ONTHELOBEPROFILEDESIGNINACYCLOIDREDUCERUSINGBYMEANSOFTHEPRINCIPLEOFTHEINSTANTVELOCITYCENTERINTHEGENERALCONTACTMECHANISMANDTHEHOMOGECORRESPONDINGAUTHORTEL82552797579;FAX82552635221EMAILADDRESSSMKWONCHANGWONACKRSMKWONWWWELSEVIERCOM/LOCATE/MECHMTMECHANISMANDMACHINETHEORY412006596–616MECHANISMANDMACHINETHEORY0094114X/SEEFRONTMATTERC2112005ELSEVIERLTDALLRIGHTSRESERVEDNEOUSCOORDINATETRANSFORMATIONITISCONSIDEREDTHEFOURTYPESOFTHECYCLOIDREDUCERSINTHISSTUDYTHESTATIONARYRINGGEARTYPEEPICYCLOIDREDUCER,THEROTATINGRINGGEARTYPEEPICYCLOIDREDUCER,THESTATIONARYRINGGEARTYPEHYPOCYCLOIDREDUCERANDTHEROTATINGRINGGEARTYPEHYPOCYCLOIDREDUCERDESIGNEXAMPLESFORTHEFOURTYPESOFTHECYCLOIDREDUCERSAREPRESENTEDTOSIMULATETHEOPERATIONANDTODEMONSTRATETHEFEASIBILITYOFTHISAPPROACHUSINGACOMPUTERAIDEDPROGRAMDEVELOPEDONCLANGUAGEC2112005ELSEVIERLTDALLRIGHTSRESERVEDKEYWORDSCYCLOIDREDUCER;EPICYCLOIDPLATEGEAR;HYPOCYCLOIDPLATEGEAR;INSTANTVELOCITYCENTER;HOMOGENEOUSCOORDINATETRANSFORMATIONINSTANTVELOCITYCENTERJOONGHOSHIN,SOONMANKWONDEPARTMENTOFMECHANICALDESIGNANDMANUFACTURING,CHANGWONNATIONALUNIVERSITY,9SARIMDONG,CHANGWON,KYONGNAM641773,SOUTHKOREARECEIVED31JANUARY2005;RECEIVEDINREVISEDFORM17MAY2005;ACCEPTED28JULY2005AVAILABLEONLINE21SEPTEMBER2005ABSTRACTACYCLOIDSPEEDREDUCERISONEOFTHEROTATIONALSPEEDREGULATIONDEVICESOFTHEMACHINERYITHASADVANTAGESOFTHEHIGHERREDUCTIONRATIO,THEHIGHERACCURACY,THEEASIERADJUSTMENTOFTHETRANSMISSIONRATIOANDTHESMALLERWORKSPACETHANANYOTHERKINDSOFTHEREDUCERTHISPAPERPROPOSESASIMPLEANDEXACTAPPROACHFORTHELOBEPROFILEDESIGNOFTHECYCLOIDPLATEGEAR,WHICHISAMAINPARTOFTHECYCLOIDREDUCER,DOI101016/JMECHMACHTHEORY2005080011INTRODUCTIONSPEEDREDUCERSAREUSEDWIDELYINVARIOUSAPPLICATIONSFORSPEEDANDTORQUECONVERSIONPURPOSESAMONGTHEM,ACYCLOIDREDUCERHASBEENUSEDFORDECADESOWINGTOTHEIRSMOOTHANDHIGHPERFORMANCE,HIGHRELIABILITY,LONGSERVICELIFE,COMPACTNESS,EXCEPTIONALOVERLOADCAPACITY,LOWTOZEROBACKLASHTHROUGHROLLINGTOOTHENGAGEMENTINTHECONTACTMECHANISM,ANDOTHERADVANTAGESTHEREFOREITMAKESANATTRACTIVECANDIDATEFORLIMITEDSPACEAPPLICATIONSTODAYACYCLOIDPLATEGEAR,WHICHISAMAINPARTOFTHECYCLOIDREDUCER,MESHESINALLTEETHORLOBESATANYONETIMEWITHTHEROLLERGEARORRINGGEARCONSISTEDOFSEVERALROLLERSONTHECIRCULARPITCHLINEGENERALLY,ITISCLASSIFIEDINTOFOURTYPESOFTHECYCLOIDDRIVESBYTHELOBEPROFILEOFTHECYCLOIDPLATEGEARANDTHEROLLERGEARC213SMOTIONTHESTATIONARYRINGGEARTYPEEPICYCLOIDREDUCER,THEROTATINGRINGGEARTYPEEPICYCLOIDREDUCER,THESTATIONARYRINGGEARTYPEHYPOCYCLOIDREDUCERANDTHEROTATINGRINGGEARTYPEHYPOCYCLOIDREDUCERFORANEXAMPLE,THESTATIONARYRINGGEARTYPEEPICYCLOIDREDUCERSEEFIG1BASICALLYHASONLYTHREEMAJORMOVINGPARTSHIGHSPEEDINPUTSHAFTWITHINTEGRALLYMOUNTEDECCENTRICCAMANDROLLERBEARINGASSEMBLYCORRESPONDINGTOTHEDISTANCEOFCENTERSBETWEENROLLERGEARANDCYCLOIDALPLATEGEAR,CYCLOIDALPLATEGEAR,ANDSLOWSPEEDOUTPUTSHAFTASSEMBLYASTHEECCENTRICCAMROTATES,ITROLLSTHECYCLOIDPLATEGEARSAROUNDTHEINTERNALCIRCUMFERENCEOFTHESTATIONARYRINGGEARTHEJHSHIN,SMKWON/MECHANISMANDMACHINETHEORY412006596–616597RESULTINGACTIONISSIMILARTOTHATOFAWHEELROLLINGAROUNDTHEINSIDEOFARINGASTHEWHEELCYCLOIDALPLATETRAVELSAROUNDTHERINGGEAR,THEWHEELITSELFTURNSSLOWLYONITSOWNAXISINANOPPOSITEDIRECTIONTHATIS,FOREACHCOMPLETEREVOLUTIONOFTHEHIGHSPEEDSHAFTTHECYCLOIDALPLATEGEARTURNSONELOBEPITCHINTHEOPPOSITEDIRECTIONINGENERAL,THEREISONELESSCYCLOIDALTOOTHAROUNDTHEPLATEGEARTHANTHEREAREROLLERSINTHESTATIONARYRINGGEARHOUSING,WHICHRESULTSINREDUCTIONRATIOSBEINGNUMERICALLYEQUALTOTHENUMBEROFLOBESONTHEPLATEGEARTHEREDUCEDROTATIONOFTHEPLATEGEARSISTRANSMITTEDTOTHESLOWSPEEDOUTPUTSHAFT,NOTDEPICTEDINFIG1,FIG1SHAPEOFASTATIONARYRINGGEARTYPEEPICYCLOIDREDUCERBYMEANSOFDRIVEPINSANDROLLERSWHICHENGAGEWITHHOLESLOCATEDAROUNDTHEMIDDLEOFEACHPLATEGEARTOTHEAUTHORSC213BESTKNOWLEDGE,LITTLEPUBLISHEDINFORMATIONISAVAILABLEONANALYSISANDDESIGNOFTHECYCLOIDREDUCERBOTSIBERANDKINGSTON1INTRODUCED,WITHLITTLEANALYTICALWORK,THETHEORYOFOPERATIONOFTHECYCLOIDDRIVEMECHANISMMALHOTRAANDPARAMESWARAN2STUDIEDTHEEffECTSOFDESIGNPARAMETERSONFORCESFORVARIOUSELEMENTSOFTHECYCLOIDSPEEDREDUCERASWELLASTHETHEORETICALEffiCIENCYBLANCHEANDYANG3DEVELOPEDANANALYTICALMODELOFTHECYCLOIDDRIVESWITHMACHININGTOLERANCESANDINVESTIGATEDTHEEffECTSOFMACHININGTOLERANCESONBACKLASHANDTORQUERIPPLE;ANDTHEY4ALSOPRESENTEDACOMPUTERAIDEDANALYSISPROCEDURETOVERIFYTHEPERFORMANCEOFCYCLOIDDRIVESLITVINANDFENG5USEDDIffERENTIALGEOMETRYTOGENERATETHECONJUGATESURFACESOFCYCLOIDALGEARINGRECENTLY,YANANDLAI6HAVEPRESENTEDAGEOMETRICDESIGNROTATINGRINGGEARTYPEEPICYCLOIDREDUCERINSECTION3,THESTATIONARYRINGGEARTYPEHYPOCYCLOIDREDUCERINSECTION4,ANDLASTLYINSECTION5THEROTATINGRINGGEARTYPEHYPOCYCLOIDREDUCERBASED598JHSHIN,SMKWON/MECHANISMANDMACHINETHEORY412006596–616UPONTHEPROPOSEDAPPROACH,APROGRAMFORSHAPEDESIGNAUTOMATIONHASBEENDEVELOPEDWITHCLANGUAGEFINALLY,DESIGNEXAMPLESAREPRESENTEDTODEMONSTRATETHEFEASIBILITYOFTHISAPPROACH2STATIONARYRINGGEARTYPEEPICYCLOIDREDUCERACCORDINGTOKENNEDYC213STHEOREM8–10,THETHREEINSTANTVELOCITYCENTERSSHAREDBYTHREERIGIDBODIESINRELATIVEMOTIONTOONEANOTHERWHETHERORNOTCONNECTEDALLLIEONTHESAMESTRAIGHTLINEFIG2SHOWSTHECONSTRUCTIONNECESSARYTOFINDINSTANTVELOCITYCENTERSINFIG2LINKS2AND3AREINDIRECTCONTACTALLPINJOINTSIC12,IC13AREPERMANENTINSTANTCENTERSIFTHEPOINTOFCONTACTDOESNOTLIEONTHELINEOFCENTERSIC12–IC13,THESETANGENTIALCOMPONENTSWILLNOTBECONTACTPOINTCOMMONTANGENTLINECOMMONNORMALLINEIC23IC13IC12LINK1LINK2LINK3LINK1CONCEPTOFAHYPOCYCLOIDALREDUCERUSINGTHETHEORYOFCONJUGATESURFACESMOSTRECENTLY,LIETAL7HAVEINTRODUCEDADOUBLECRANKRINGPLATETYPECYCLOIDDRIVEANDPRESENTEDITSWORKINGPRINCIPLES,ADVANTAGESANDDESIGNISSUESINTHISPAPER,WEPROPOSEANEWAPPROACHFORTHEEXACTGEOMETRICDESIGNOFTHECYCLOIDALPLATEGEARSWITHOUTINTERFERENCEINTHECYCLOIDDRIVESUSINGTHEPRINCIPLEOFINSTANTVELOCITYCENTERANDTHEHOMOGENEOUSCOORDINATETRANSFORMATIONTECHNIQUEITISCONSIDEREDTHEFOURTYPESOFTHECYCLOIDREDUCERSINTHISSTUDY;THESTATIONARYRINGGEARTYPEEPICYCLOIDREDUCERINSECTION2,THEFIG2INSTANTVELOCITYCENTERSOFACONTACTMECHANISMEQUAL,ANDSLIDINGEXISTSHENCETHEONLYRELATIVEMOTIONWHICHLINKS2AND3CANHAVEATTHEIRPOINTOFCONTACTISINTHEDIRECTIONOFTHECOMMONTANGENT,ANDTHEIRCENTEROFRELATIVEROTATION,INSTANTVELOCITYCENTERIC23,MUSTTHENLIEALONGTHECOMMONNORMALHOWEVER,BYKENNEDYC213STHEOREMINSTANTVELOCITYCENTERIC23MUSTLIEALONGLINEIC12–IC13HENCEINSTANTVELOCITYCENTERIC23LIESATTHEPOINTOFTHEINTERSECTIONOFTHECOMMONNORMALANDTHELINEOFCENTERSIC12–IC13FIG3ISASCHEMATICOFASTATIONARYRINGGEARTYPEEPICYCLOIDREDUCERTHISMECHANISMEMPLOYSACRANKO1OCTODEVOTETHEEPICYCLOIDALPLATEGEARTHATORBITSABOUTTHECENTERO1OFTHEINPUTSHAFTDUETOTHEECCENTRICITYOFTHESHAFTATTHESAMETIME,THECYCLOIDALPLATEGEARROTATESABOUTITSOWNCENTEROCINTHEOPPOSITEDIRECTIONOFTHEINPUTSHAFT,DUETOTHEENGAGEMENTWITHTHESTATIONARYRINGGEARTHERESULTINGMOTIONOFTHECYCLOIDALPLATEGEARISACOMPOUNDMOTIONWECANCONSIDERTHATITCONSISTSOFTHREELINKSINKINEMATICSTHEFRAMECORRESPONDINGTOO1ORHEREROLLERSBEINGATTACHEDTOTHESTATIONARYRINGGEARASLINK1,THEECCENTRICDISTANCEO1OCASLINK2,ANDTHECYCLOIDPLATEGEARASLINK3BYKENNEDYC213STHEOREM,WECANEASILYDETERMINETHETHREEINSTANTVELOCITYCENTERS,IEAPOINTO1ASIC12,APOINTOCASIC23ANDAPOINTMASIC13,RESPECTIVELY,ASSHOWNINFIG3HEREWEWILLDENOTETHEECCENTRICITYO1OCCORRESPONDINGTOTHEFROMVELOCITYJHSHIN,SMKWON/MECHANISMANDMACHINETHEORY412006596–6165992VELOCITYX3OFTHEOUTPUTCYCLOIDPLATEGEARLINK3AREILLUSTRATEDINTHESAMEDIRECTIONCOUNTERCLOCKWISETHEMAGNITUDEOFTHEVELOCITYV23OFTHEPOINTIC23ASSHOWNINFIG4CANBEDETERMINEDBYV23EX2EC0QX31ITMEANSTHATTHEACTUALORIENTATIONOFX2ANDX3ISINTHEOPPOSITEDIRECTIONTOEACHOTHERPOLLITT11SHOWEDHOWTOFINDTHEPOINTOFCONTACTBETWEENTHECYCLOIDPLATEGEARPLANETARYGEARANDTHECYLINDRICALROLLERSWHICHMAKEUPTHETEETHOFTHESTATIONARYRINGGEARSUNGEARLINK1ROLLERGEARLINK3CYCLOIDALPLATEGEARLINK2ROLLERGEARPROFILEICICICXFYFCONTACTPOINTOOORM1223131CTHEDEFINITIONOFTHEINSTANTCENTER,BOTHLINKSSHARINGTHEINSTANTCENTERWILLHAVEIDENTICALATTHATPOINTINFIG4,THEANGULARVELOCITYXOFTHEINPUTSHAFTLINK2ANDTHEANGULARECCENTRICBEARINGOFTHEINPUTSHAFTASE,O1MASQWHICHISANUNKNOWNTOBEDETERMINEDBELOW,ANDO1ORASR,RESPECTIVELYFIG4THECENTERDISTANCEORCRANKLENGTHE,THENUMBEROFROLLERSN,THEROLLERRADIUSRR,ANDTHERADIUSOFTHEROLLERGEARRAREUSUALLYASSIGNEDDESIGNPARAMETERSFIG3INSTANTVELOCITYCENTERSOFASTATIONARYRINGGEARTYPEEPICYCLOIDREDUCER

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