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外文翻译--三段式圆弧凸轮分析设计 英文版.pdf

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外文翻译--三段式圆弧凸轮分析设计 英文版.pdf

ANANALYTICALDESIGNFORTHREECIRCULARARCCAMSCHIARALANNI,MARCOCECCARELLI,GIORGIOFIGLIOLINIDIPARTIMENTODIMECCANICA,STRUTTURE,AMBIENTEETERRITORIO,UNIVERSITC18ADICASSINO,VIADIBIASIO43,03043CASSINOFR,ITALYRECEIVED10JULY2000;ACCEPTED22JANUARY2002ABSTRACTINTHISPAPERWEHAVEPRESENTEDANANALYTICALDESCRIPTIONFORTHREECIRCULARARCCAMPROfiLESANANALYTICALFORMULATIONFORCAMPROfiLESHASBEENPROPOSEDANDDISCUSSEDASAFUNCTIONOFSIZEPARAMETERSFORDESIGNPURPOSESNUMERICALEXAMPLESHAVEBEENREPORTEDTOPROVETHESOUNDNESSOFTHEANALYTICALDESIGNPROCEDUREANDSHOWTHEENGINEERINGFEASIBILITYOFSUITABLETHREECIRCULARARCCAMSC2112002ELSEVIERSCIENCELTDALLRIGHTSRESERVED1INTRODUCTIONACAMISAMECHANICALELEMENT,WHICHISUSEDTOTRANSMITADESIREDMOTIONTOANOTHERMECHANICALELEMENTBYDIRECTSURFACECONTACTGENERALLY,ACAMISAMECHANISM,WHICHISCOMPOSEDOFTHREEDIffERENTFUNDAMENTALPARTSFROMAKINEMATICVIEWPOINT1,2ACAM,WHICHISADRIVINGELEMENT;AFOLLOWER,WHICHISADRIVENELEMENTANDAfiXEDFRAMECAMMECHANISMSAREUSUALLYIMPLEMENTEDINMOSTMODERNAPPLICATIONSANDINPARTICULARINAUTOMATICMACHINESANDINSTRUMENTS,INTERNALCOMBUSTIONENGINESANDCONTROLSYSTEMS3CAMANDFOLLOWERMECHANISMSCANBEVERYCHEAP,ANDSIMPLETHEYHAVEFEWMOVINGPARTSANDCANBEBUILTWITHVERYSMALLSIZETHEDESIGNOFCAMPROfiLEHASBEENBASEDONSIMPLYGEOMETRICCURVES,4,SUCHASPARABOLIC,HARMONIC,CYCLOIDALANDTRAPEZOIDALCURVES2,5ANDTHEIRCOMBINATIONS1,2,6,7INTHISPAPERWEHAVEADDRESSEDATTENTIONTOCAMPROfiLES,WHICHAREDESIGNEDASACOLLECTIONOFCIRCULARARCSTHEREFORETHEYARECALLEDCIRCULARARCCAMS5,8CORRESPONDINGAUTHOREMAILADDRESSCECCARELLIINGUNICASITMCECCARELLI0094114X/02/SEEFRONTMATTERC2112002ELSEVIERSCIENCELTDALLRIGHTSRESERVEDPIIS0094114X02000320MECHANISMANDMACHINETHEORY372002915–924WWWELSEVIERCOM/LOCATE/MECHMTCIRCULARARCCAMSCANBEEASILYMACHINEDANDCANBEUSEDINLOWSPEEDAPPLICATIONS9INADDITION,CIRCULARARCCAMSCOULDBEUSEDFORMICROMECHANISMSANDNANOMECHANISMSSINCEVERYSMALLMANUFACTURINGCANBEPROPERLYOBTAINEDBYUSINGELEMENTARYGEOMETRYANUNDESIRABLECHARACTERISTICOFTHISTYPEOFCAMISTHESUDDENCHANGEINTHEACCELERATIONATTHEPROfiLEPOINTSWHEREARCSOFDIffERENTRADIIAREJOINED5ALIMITEDNUMBEROFCIRCULARARCSISUSUALLYADVISABLESOTHATTHEDESIGN,CONSTRUCTIONANDOPERATIONOFCAMTRANSMISSIONCANBENOTVERYCOMPLICATEDANDTHEYCANBECOMEACOMPROMISEFORSIMPLICITYANDECONOMICCHARACTERISTICSTHATARETHEBASICADVANTAGESOFCIRCULARARCCAMS8RECENTLYNEWATTENTIONHASBEENADDRESSEDTOCIRCULARARCCAMSBYUSINGDESCRIPTIVEVIEWPOINT10,ANDFORDESIGNPURPOSES11,12INTHISPAPERWEHAVEDESCRIBEDTHREECIRCULARARCCAMSBYTAKINGINTOCONSIDERATIONTHEGEOMETRICALDESIGNPARAMETERSANANALYTICALFORMULATIONHASBEENPROPOSEDFORTHREECIRCULARARCCAMSASANEXTENSIONOFAFORMULATIONFORTWOCIRCULARARCCAMSTHATHASBEENPRESENTEDINAPREVIOUSPAPER122ANANALYTICALMODELFORTHREECIRCULARARCCAMSANANALYTICALFORMULATIONCANBEPROPOSEDFORTHREECIRCULARARCCAMSINAGREEMENTWITHDESIGNPARAMETERSOFTHEMODELSHOWNINFIGS1AND2SIGNIfiCANTPARAMETERSFORAMECHANICALDESIGNOFATHREECIRCULARARCCAMAREFIG18;THERISEANGLEAS,THEDWELLANGLEAR,THERETURNANGLEAD,THEACTIONANGLEAAASARAD,THEMAXIMUMLIFTH1FIG1DESIGNPARAMETERSFORGENERALTHREECIRCULARARCCAMS916CLANNIETAL/MECHANISMANDMACHINETHEORY372002915–924THECHARACTERISTICLOCIOFATHREECIRCULARARCCAMSARESHOWNINFIG2ASTHEfiRSTCIRCLEC1OFTHECAMPROfiLEWITHQ1RADIUSANDCENTREC1;THESECONDCIRCLEC2OFTHECAMPROfiLEWITHQ2RADIUSANDCENTREC2;THETHIRDCIRCLEC3OFTHECAMPROfiLEWITHQ3RADIUSANDCENTREC3;THEBASECIRCLEC4WITHRADIUSRANDTHECENTREISO;THELIFTCIRCLEC5OFTHECAMPROfiLEWITHRH1RADIUSANDCENTREO;THEROLLERCIRCLEWITHRADIUSQCENTREDONTHEFOLLOWERAXISINADDITIONSIGNIfiCANTPOINTSAREDC17XD;YDWHICHISTHEPOINTJOININGC1WITHC5;FC17XF;YFWHICHISTHEPOINTJOININGC1WITHC3;GC17XG;YGWHICHISTHEPOINTJOININGC3WITHC2;AC17XA;YAWHICHISTHEPOINTJOININGC2WITHC4XANDYARECARTESIANCOORDINATESOFPOINTSWITHRESPECTTOTHEfiXEDFRAMEOXY,WHOSEORIGINOISAPOINTOFTHECAMROTATIONAXISADDITIONALSIGNIfiCANTLOCIARET13WHICHISTHECOINCIDENTTANGENTIALVECTORBETWEENC1ANDC3;T15WHICHISTHECOINCIDENTTANGENTIALVECTORBETWEENC1ANDC5;T23WHICHISTHECOINCIDENTTANGENTIALVECTORBETWEENC2ANDC3;T24WHICHISTHECOINCIDENTTANGENTIALVECTORBETWEENC2ANDC4THEMODELSHOWNINFIGS1AND2CANBEUSEDTODEDUCEAFORMULATION,WHICHCANBEUSEFULBOTHFORCHARACTERIZINGANDDESIGNINGTHREECIRCULARARCCAMSANALYTICALDESCRIPTIONCANBEPROPOSEDWHENTHECIRCLESAREFORMULATEDINTHESUITABLEFORMCIRCLEC1WITHRADIUSQ21X1C0XF2Y1C0YF2PASSINGTHROUGHPOINTFASX2Y2C02XX1C02YY1C0X2FC0Y2F2X1XF2Y1YF01CIRCLEC2WITHRADIUSQ22X2C0XA2Y2C0YA2PASSINGTHROUGHPOINTAASX2Y2C02XX2C02YY2C0X2AC0Y2A2X2XA2Y2YA02CIRCLEC2WITHRADIUSQ22X2C0XG2Y2C0YG2PASSINGTHROUGHPOINTGASX2Y2C02XX2C02YY2C0X2GC0Y2G2X2XG2Y2YG03FIG2CHARACTERISTICLOCIFORTHREECIRCULARARCCAMSCLANNIETAL/MECHANISMANDMACHINETHEORY372002915–924917CIRCLEC3WITHRADIUSQ23X3C0XF2Y3C0YF2PASSINGTHROUGHPOINTFASX2Y2C02XX3C02YY3C0X2FC0Y2F2X3XF2Y3YF04CIRCLEC3WITHRADIUSQ23X3C0XG2Y3C0YG2PASSINGTHROUGHPOINTGASX2Y2C02XX3C02YY3C0X2GC0Y2G2X3XG2Y3YG05CIRCLEC4WITHRADIUSRASX2Y2R26CIRCLEC5WITHRADIUSRH1ASX2Y2RH127ADDITIONALCHARACTERISTICCONDITIONSCANBEEXPRESSEDINTHEFORMASTHEfiRSTCIRCLEC1ANDLIFTCIRCLEC5MUSTHAVETHESAMETANGENTIALVECTORT15ATPOINTDEXPRESSEDASXX1YY1C0X1XDC0Y1YD08THEBASECIRCLEC4ANDSECONDCIRCLEC2MUSTHAVETHESAMETANGENTIALVECTORT24ATPOINTAEXPRESSEDASX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