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双滚柱少齿差行星传动设计及传动误差分析.docx

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双滚柱少齿差行星传动设计及传动误差分析 Abstract Thispaperpresentsthedesignandanalysisofadouble-offsetplanetarygearboxwithlowtoothdifference.Thedesignprocessinvolvestheselectionofgearboxparameters,thedeterminationofthegearratioandthecalculationofloadcapacity.Thepaperalsoanalyzesthetransmissionerrorofthegearbox.Thetransmissionerrorisdrivenbymachinetoolfeedmotorfromasignalgenerator.Thisapproachisusedtomeasurethetransmissionerrorandtoidentifycriticalerrorsinthesystem.Theresultsshowedthatthedouble-offsetplanetarygearboxissuitableforuseinhighprecisionmachinerybecauseithaslowtransmissionerror. Introduction Planetarygearboxesareanessentialcomponentinmanyheavy-dutyandhigh-torquepowertransmissionapplicationswherehighprecision,efficiency,andcompactsizearerequired.Thesegearboxesarewidelyusedinrobotics,automationmachinery,aerospace,andheavymachineryindustries.Oneofthefundamentalchallengesinplanetarygearboxdesignistoreducethetotalnumberofteethengagedincontactatanyonetime.Thisisbecausetheseloadscausesignificantstressconcentration,whichincreaseswearandtearontheteethanddecreasestheservicelifeofthegearbox. Toaddressthischallenge,adouble-offsetplanetarygearboxwithlowtoothdifferencehasbeendesignedandanalyzedinthispaper.Thedesignofthisplanetarygearboxisbasedonthefollowingfundamentalprinciples:alowgearratio,reductionofthenumberofactiveteethincontact,andloaddistributiontoreducetoothstressconcentration. DesignandCalculation Thedesignprocessbeginswiththeselectionofgearboxparameters.Inadouble-offsetplanetarygearbox,thegeartrainconsistsoftwosungears,twoplanetarygears,andtworinggears.Inthisdesign,thenumberofteethis15forthesungear,27fortheplanetarygear,and63fortheringgear.Thismeansthatthegearratiocanbecalculatedasfollows: i=(Zr+Zp)/(2Zp)=(63+27)/(2*27)=1.67 whereiisthegearratio,Zristhenumberofteethoftheringgear,andZpisthenumberofteethoftheplanetarygear. Next,theloadcapacityofthegearboxiscalculatedusingtheAGMA(AmericanGearManufacturersAssociation)standard.Thecalculationconsidersthetorquetransmitted,stress,toothben