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外文翻译--凸轮机构的优化方法 英文版.pdf

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外文翻译--凸轮机构的优化方法 英文版.pdf

65Claudia–MariPopa,DinelPopaOptimisationMethodsforCamMechanismsAbstract.Inthispaperwepresentthecriteriawhichrepresentthebaseofoptimizingthecammechanismsandalsoweperformthecalculationsforseveraltypesofmechanisms.Westudytheinfluenceoftheconstructiveparametersincaseofthesimplemachineswithrotationcamandfollowerflatorcurveoftranslationonthecurvatureradiusandthatofthetransmissionangle.Asitfollows,wepresenttheoptimizationcalculationsofthecamandflatrotationfollowermechanisms,aswellasthecalculationsforoptimizingthecammechanismsbycirculargroovefollowershelp.Foraneasierinterpretationoftheresults,wehavevisualizedtheobtainedcaminAutoCADaccordingtothescriptfilesgeneratedbyacalculationprogram.Keywordscam,curvatureradius,constructiveparameters,pressureangle,circulargrove.1.OptimisationcriteriaThetermofoptimizationcomesfromtheLatinword–optimus,whichisthesuperlativeofgood,whichmeansthebest,verygood,properlyindicated,suitedetc.AccordingtoExplainingDictionaryofRomanianLanguage,byoptimizationisunderstood–technically–theensembleofscientificresearchpapersthatislookingforthebestoptioninfindingasolutionforaproblemor,accordingtoanotherdefinition,theprocessofconstantimprovinguntilthebestsolutionitisreached.Mathematically,byoptimizationisunderstoodthereasoning,thecalculuspermitsinfindingvaluesofoneormoreparameterswhichcorrespondtothemaximumofafunction.Inthecaseofacammechanism,oneoftheoptimizationcriteriaisthecriteriaofthecurvatureradius,accordingtothat,thecurvatureradiusofthecaminthecaseofafollowerwhichisflatorhasapositivecurvatureradiusmustbepositiveandevenhigherthenanimposedvalue.ANALELEUNIVERSITĂłIIEFTIMIEMURGUREŞIłAANULXVII,NR.1,2010,ISSN1453739766Anothercriteriathatmustbetakenintoaccountisthatofthepressureanglenotedwithαwhichmustfulfilltheconditioncrαα,where030crαatincreasingand060atdecreasing.Onthebasisofthistwocriteriawillbeobtainedbetterconditionforthecomplexcammechanismstofunction.Nextwewilldefineasatechnicallyfunctionalcamthecamthatisobtainedbyclassicproceduresofprocessingofatoolmachine,havingthecurvatureradiuspositiveandthatrespectstheconditionofthecriticalpressureanglecrαα.2.TheoptimisationofsimplecammechanismswithtranslationfollowerThereisconsideredthecaseofaflatfollowerfig.1,casewheretheparametricalcoordinatesofthecamare,sincoscossin00ϕϕϕϕssRyssRx−1and.2sAO2ϕxOA2OYysRX0Figure1.Mechanismwithrotationcamandflattranslationfollower.From1aredeductedsincos00ϕϕssRyssRx−3,cossinsincos00ϕϕϕϕssRssyssRssx−−−4anditsalsodeductedtheexpressionofthecurvatureradius67||2/322yxyxyxRc−0ssRRc.5If,forexample,thedisplacementlawis2cos10ϕ−hs.6Thenthecurvatureradiusisϕ2cos3000hhRRc7andbecomesminimumfor2piϕwhenisgivenby00min2hRRc−.8Inthiscase,forhR20theminimumcurvatureradiusbecomesnullandthecamhastheshapefromfigure2,a,andif002hRthecurvatureradiusiscanceledinthepointswhere2piϕpiϕpi2fig.2,bandhavenegativevaluefor2piϕandthecambecomesnonfunctional.Ifweuseflatfollowerintheseconditionswecanobtaincamstechnicallyfunctional.yxyxFigure2.Nonfunctionalcamswithnullornegativecurvatureradius.Letusconsiderthegeneralcasewherethecurvatureradiusatthetopinthecaseofaflatfollowerbecomesnegative0max0ssRandtodeterminetheradiusrofthecircularfollowersothatthecamwillbefunctionally.Theequationsofthefollowersgroovefig.3are,cossin22λλryrx−8andfromtheequalities68,coscossinsinsincos0λϕϕλϕϕrsrRyxyryxxAA−−−9aredeductedtheequationsofthecurvaturefamily,,coscos,sinsin210λϕλϕϕλϕλϕϕfrsrRyfrsrRx−−10thatdependsontheparametersλϕ,.OxAr22ϕ0vA2λRrsyXyxYFigure3.Mechanismwithrotationcamandflatrotationfollower.Theequationoftheenvelopecheckstheequation02211∂∂∂∂∂∂∂∂λϕλϕffff,11thatbecomessrRs0tgλ.12Thecamequationsaregivenbytherelations10whereλcheckstheequation12.Inthetop2piϕarefulfilledtheconditions000maxssssλ

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