行星齿轮减速器中英文翻译英文资料.docx
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行星齿轮减速器中英文翻译英文资料.docx
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行星齿轮减速器中英文翻译英文资料
附录
附录1
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英文原文
PlanCtar>rGearS
Introduction
ThCTamiyaPlanetarygearboxisdrivenbyaSmallDCmotorthatrunsatabout10,500rpmOn3.0VDCanddrawsabout1.0A・ThemaximumSPeCdratiois1:
400.givinganOUtPUtSPeedOfabout26rpm.FOUrPlanetaryStageSareSUPPIiCCiWiththegearbox,two1:
4andtwo1:
5,andanyCOmbinatiOnCanbeSeleCted.NOtOnlyisthisagoodClriVeforSmallIneChaniCalapplications,itPrOVideSanexcellentreviewOfepicyclegeartrains・ThegearboxisaVeryWen-designedPlaStiCkitthatCanbeassembledinaboutanhourWithVeryfewtools.TheSOUrCeforthekitisgivenintheReferenCeS.
LefsbeginbyreviewingthefundamentalsOfgearing,andthetrickOfanalyzingCPiCyCliCgeartrains・
EPiCyCliCGearTrainS
APairOfSPUrgearsisrepresentedinthediagrambytheirPitChCirCleS.WhiCharetangentatthePitChPOintP.ThemeshinggearteethextendbeyondthePitChCirCIebytheCUkIenCIuandtheSPaCeSbetweenIhenlhaveadepthbeneaththePitChCirClebythededendum・IfIhcradiiOfthePitChCirCIeSareaandb,thedistancebetweenthegearShaftSisa+b.IntheactionOfthegears,thePitChCirCleSrollOnOneanotherWithOUtSIiPPing.TOensurethis,IhegearteethmusthaveaPrOPerShaPeSOthatWhenthedrivinggearmovesuniformly,SOdoesthedrivengear.TIIiSmeansthattheIineOfPreSSUre,normaltothetoothPrOfileSincontact.PaSSeSthroughthePitChpoint.Then,thetransmissionOfPOWerWillbefreeOfVibratiOnandhighSPeCdSarePOSSible・WeWOn,ttalkfurtheraboutgearteethhere・havingStatedthisfundamentalPrinCiPleOfgearing・
IfagearOfPitChradiusahasNteeth,thenthedistancebetweenCOrrCSPOndingPOintSOnSUCCeSSiVeteethWiIlbe2πa∕N.aquantityCanedtheCirCHIarPitCh・Iftwogearsaretomate,theCirCUlarPitCheSmustbetheSame・ThePitChisUSUallyStatedastheration2a∕N,CalIedthediametralPitCh.IfyouCOUntthenumberOfteethOnagear,thenthePitChdiameteristheInImbCrOfteethtimesthediametralPitCh.IfyouknowthePitChdiametersOftwogears,thenyouCanSPeCifythedistancebetweentheShaftS.
TheVeIOCityratiorofaPairOfgearsistheratioOftheangularVelOCityOfthedrivengeartotheangularVelOCityOfthedrivinggear.BytheCOnditiOnOfrollingOfPitChcircles,r=-a∕b=・N1∕N2,SinCePitChradiiarePrOPOrtiOnaltothenumberOfteeth・TheangularVelOCitynOfthegearsInaybegiveninradians/sec,revolutionsPerminute(rpm),OranySimilarUnitS.IfWetakeOneClireCtiOnOfrotationaspositive,thentheOthCrdirectionisnegative.ThiSisthereasonforthe(-)Signintheaboveexpression.IfOnCOfthegearsisinteπuιl(havingteethOnitsinnerrim),thentheVeIOCitYratioispositive,SinCethegearsWillrotateintheSamedirection.
TheUSUaIinvolutegearshaveatoothShaPethatistolerantOfVariatiOnSinthedistancebetweentheaxes,SOthegearsWillrunSmOOthIyifthisdistanceisnotquitecorrect.TheVelOCityratioOfthegearsdoesnotdependOntheexactSPaCingOftheaxes,butisfixedbythenumberOfteeth・OrWhatistheSanlething,bythePitChCliameterS・SIightIyincreasingthedistanceaboveitstheoreticalValUemakesthegearsrunCaSienSinCetheClearanCeSarelarger.OntheOtherhand,backlashisalsoincreased,WhiChmaynotbedesiredinSOmeapplications・
AnepicyclicgeartrainhasgearShaftSInOUntedOnamovingUnnOrCarnerthatCanrotateabouttheaxis,asWellasthegearsthemselves・ThearmCanbeaninputelement,OranOUtPUtelement,andCanbeheldfixedOrallowedtorotate・TheOUtergearistheHnfiSearOrCmnUluS.ASimPlebutVeryCOnImOnepicyclictrainistheSUn-and-planetepicyclictrain,ShOWninthefigureattheICftThreePlanetarJfgearsareUSedformechanicalreasons;theymaybeCOnSideredasOneindescribingtheactionOfthegearing・TheSUngear,thearm・OrtheringgearmaybeinputOrOUtPUtIinkS.
Ifthearmisfixed,SOthatitCannOtrotate,WehaveaSimPletrainOfthreegears.Then・nz/n】=・N1∕N2,n3∕n2=+N2∕N3.andn√nι=-N1∕N3.ThiSisVCrysimple,andShOUldnotbeCOnfUSing.Ifthearmisallowedtomove,figuringOUttheVelOCityratiostaxesthehumanintellect.AttemPtingthisWillShOWthet∏ιthOftheStatement;ifyouCanInanageit,youdeservePraiSeandfame.ItisbynomeansimpossibleJustinvoved・HOWeVenthereisaVeryeasyWaytogetthedesiredresult・First,justCOnSiderthegeartrainIOCkeeLSOitmovesasarigidbody,armandall.AllthreegearsandthearmthenhaveaUnityVelOCityratio.
ThetrickisthatanymotionOfthegeartrainCanCarriCdOUtbyfirstholdingthearmfixedandrotatingthegearsrelativetoOneanother,andthenIOCkingthetrainandrotatingitaboutthefixedaxis.ThenetmotionistheSUmOrdifferenceOfmultiplesOftheIWOSeParatemotionsthatSatiSfieStheCOnditiOnSOfthePrOblem(USIIaIlythatOneelementisheldfixed).TOCarryOUtthisPrOgranLCOnStrUCtatableinWhiChtheangularVelOCitieSOfthegearsandarmareIiStedforeach,foreachOfthetwoCaSeS.TheIOCkCdtraingives1,1,1,1forarm,gearLgear2andgear3.ArnlfixedgivesO.1,-N1∕N2,-N1∕N3.SUPPOSeWeWanttheVelOCityrationbetweenthearmandgear1・Whengear3isfixed・MUItiPlythefirstrowbyaCOnStantSOthatWhenitisaddedtotheSeCOndrow,theVelOCityOfgear3WilIbeZerO・ThiSCOnStantisN]∕N3.Now.doingOnedisplacementandthentheOtherCOrreSPOndStoaddingthetworows.WefindN1∕N3,1+N1∕N3,N1∕N3-Ni∕N2.
Thefirstnumberisthearmvelocity,theSeCOndtheVelOCityOfgear1,SOtheVeIOCityratiobetweenIhenlisN1∕(N1+N3),aftermultiplyingthroughbyN3.ThiSistheVelOCityratioWeneedfortheTamiyagearbox,Wheretheringgeardoesnotrotate,theSUngearistheinput,andthearmistheOUtPIit.ThePrOCedUreisgeneral,however.andWillWOrkforanyepicyclictrain.
OneOftheTamiyaPlanetarygearassemblieshasN1=N2=16,N3=48,WhiletheOtherhasNI=12,Nz=18,N3=48.BeCaUSethePlanetarygearsInUStfitbetweentheSUnandringgears.theCOnditiOnN3=Nl+2NzmustbeSatiSfied.ItisindeedSatiSfiedforthenumbersOfteethgiven.TheVelOCityratioOfthefirstSetWillbe16/(48+16)=1/4.TheVelOCityratioOftheSeCOnelSetWillbe12/(48+12)=1/5.BOthratiosareasadvertised・NOtethattheSlIngearandarmWillrotateintheSamedirection・
ThebestgeneralmethodforSOlVingepicyclicgeartrainsisthetabularmethod,SinCeitdoesnotCOntainhiddenassumptionsIikeformulas,norrequiretheWOrkOftheVeCtOrmethod.ThefirstStePistoisolatetheepicyclictrain,SeParatingthegeartrainsforinputsandOUtPUtSfromit.FindtheinputSPeedSOrturns,USingtheinputgeartrains・ThCrCare,ingeneralIWOinputs,OneOfWhiChmaybeZerOinSinIPlePrOblemS.NOWPreParetworowsOfthetableOfturnsOrangularVeIOCitieS・ThefirstrowCOrreSPOndStorotatingaroundtheepicyclicaxisOnCe・andCOnSiStSOfalll's.WritedowntheSeCOndrowassumingIhatthearmVelOCityiszero,USingtheknowngearratios.TherowthatyouWantisaIinearCOmbinatiOnOfthesetworows,WithUnknOWnmultipliersXandy.SUmIningtheentriesfortheinputgearsgivestwoSimUItaneOUSIinearequationsforXandyintermsOftheknowninputVelOCitieS・NOWtheSUInOfthetworowsmultipliedbytheirrespectivemultipliersgivestheSPeedSOfallthegearsOfinterest.Finally,findtheOUtPUtSPeedWiththeaidOftheOUtPUtgeartrain.BCCarefUltogetthedirectionsOfrotationcorrect,WithrespecttoadirectiontakenasPOSitiVe・
TheTamiyaGearbOXKit
ThePartSarebestCIltfromtheSPrUeSWithaflush-cutterOfthetypeUSedinelectronics・TheVerySmallbitsOfPlaStiCremainingCanthenberemovedWithaSharPX-actoknife・CarefUnyremoveallexcessplastic,astheinstπιctionssay.
ReadtheinstructionsCarefUllyandmakeSUrethatthingsaretherightWayUPandintheCOrreCtrelativePOSitOnS.ThCgearboxUnitSgotogethereasilyWithIightPreSSUre・NOtethatthebrownOneSmustgotogetherintheCOrreCtrelativeOrientatiOn・ThC4mmWaSherSaretheOneSOfWhiChtwoaresupplied,andthereisalsoafull-sizedrawingOfOneintheinstπιctions・TheSmanerWaSherSWilInotfitOVertheShaft・anyway.TheOUtPUtShaftismetal.USeIargerlong-nosePIierStoPreSStheE-ringintoPOSitiOninitsgrooveinfrontOfthewasher.ThereisaPiCtUreShOWinghowtodothis・ThereWaSanextraE-ringinmykit.ThethreePrOngSfitintotheCarrierSforthePlanetarygears,andaredrivenbythem・
NOWStaCkUPthegearboxUnitSasdesired・IUSCdallfour,beingSUretoPUta1:
5UnitOntheendnexttothemotor.Therefore,IneededtheIOngscrews.PreSStheOrangeSUngearfortheIaSt1:
5UnitfirmlyOnthemotorShaftasfarasitWillgo.IfitisnotWell-Seated.themotorCIiPWillnotClOSe・ItInightbeagoodideatoPUtSOmeIUbriCantOnthisgearfromthetubeincludedWithIhekit.IfyouUSCadifferentIUbriCant,testitfirstOnaPieCeOfPlaStiCfromthekittomakeSurethatitisCOmPatible.AdrygraphiteIUbriCantWOUldalsoWOrkquiteWClLThiSShOUldSPreadIUbriCantOnallPartSOftheIaStunit,WhiChistheOneSUbjeCttothehighestSPeedS.PUtthemotorinplace,gentlybutfirmly,WiggIingitSOthattheSUngearmeshes.IftheSUngearisnotmeshed,theInOtOrCIiPWillnotClOSe・NOWPUtthemotorterminalsinaVertiCalCOIUmILandPreSSOnthemotorClanIP・
ThereverseOftheinstπιctionsShOwhowtoattachthedrivearmandgivesSOnlehintsOnUSeOfthegearbox.IgotanextraSPringpin.andtwoextra3mmWaSherS.IfyouhaveSOmeSmalIwashers,theyCanbeUSedOnthemachineSCreWSholdingthegearboxtogether.EnOUghtorqueisPrOdUCCdattheOUtPUttodamagethings(U
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