簡(jiǎn)介:附錄附錄附錄1英文原文PLANETARYGEARSINTRODUCTIONTHETAMIYAPLANETARYGEARBOXISDRIVENBYASMALLDCMOTORTHATRUNSATABOUT10,500RPMON30VDCANDDRAWSABOUT10ATHEMAXIMUMSPEEDRATIOIS1400,GIVINGANOUTPUTSPEEDOFABOUT26RPMFOURPLANETARYSTAGESARESUPPLIEDWITHTHEGEARBOX,TWO14ANDTWO15,ANDANYCOMBINATIONCANBESELECTEDNOTONLYISTHISAGOODDRIVEFORSMALLMECHANICALAPPLICATIONS,ITPROVIDESANEXCELLENTREVIEWOFEPICYCLEGEARTRAINSTHEGEARBOXISAVERYWELLDESIGNEDPLASTICKITTHATCANBEASSEMBLEDINABOUTANHOURWITHVERYFEWTOOLSTHESOURCEFORTHEKITISGIVENINTHEREFERENCESLETSBEGINBYREVIEWINGTHEFUNDAMENTALSOFGEARING,ANDTHETRICKOFANALYZINGEPICYCLICGEARTRAINSEPICYCLICGEARTRAINSAPAIROFSPURGEARSISREPRESENTEDINTHEDIAGRAMBYTHEIRPITCHCIRCLES,WHICHARETANGENTATTHEPITCHPOINTPTHEMESHINGGEARTEETHEXTENDBEYONDTHEPITCHCIRCLEBYTHEADDENDUM,ANDTHESPACESBETWEENTHEMHAVEADEPTHBENEATHTHEPITCHCIRCLEBYTHEDEDENDUMIFTHERADIIOFTHEPITCHCIRCLESAREAANDB,THEDISTANCEBETWEENTHEGEARSHAFTSISABINTHEACTIONOFTHEGEARS,THEPITCHCIRCLESROLLONONEANOTHERWITHOUTSLIPPINGTOENSURETHIS,THEGEARTEETHMUSTHAVEAPROPERSHAPESOTHATWHENTHEDRIVINGGEARMOVESUNIFORMLY,SODOESTHEDRIVENGEARTHISMEANSTHATTHELINEOFPRESSURE,NORMALTOTHETOOTHPROFILESINCONTACT,PASSESTHROUGHTHEPITCHPOINTTHEN,THETRANSMISSIONOFPOWERWILLBEFREEOFVIBRATIONANDHIGHSPEEDSAREPOSSIBLEWEWONTTALKFURTHERABOUTGEARTEETHHERE,HAVINGSTATEDTHISFUNDAMENTALPRINCIPLEOFGEARINGTHETRICKISTHATANYMOTIONOFTHEGEARTRAINCANCARRIEDOUTBYFIRSTHOLDINGTHEARMFIXEDANDROTATINGTHEGEARSRELATIVETOONEANOTHER,ANDTHENLOCKINGTHETRAINANDROTATINGITABOUTTHEFIXEDAXISTHENETMOTIONISTHESUMORDIFFERENCEOFMULTIPLESOFTHETWOSEPARATEMOTIONSTHATSATISFIESTHECONDITIONSOFTHEPROBLEMUSUALLYTHATONEELEMENTISHELDFIXEDTOCARRYOUTTHISPROGRAM,CONSTRUCTATABLEINWHICHTHEANGULARVELOCITIESOFTHEGEARSANDARMARELISTEDFOREACH,FOREACHOFTHETWOCASESTHELOCKEDTRAINGIVES1,1,1,1FORARM,GEAR1,GEAR2ANDGEAR3ARMFIXEDGIVES0,1,N1/N2,N1/N3SUPPOSEWEWANTTHEVELOCITYRATIONBETWEENTHEARMANDGEAR1,WHENGEAR3ISFIXEDMULTIPLYTHEFIRSTROWBYACONSTANTSOTHATWHENITISADDEDTOTHESECONDROW,THEVELOCITYOFGEAR3WILLBEZEROTHISCONSTANTISN1/N3NOW,DOINGONEDISPLACEMENTANDTHENTHEOTHERCORRESPONDSTOADDINGTHETWOROWSWEFINDN1/N3,1N1/N3,N1/N3N1/N2THEFIRSTNUMBERISTHEARMVELOCITY,THESECONDTHEVELOCITYOFGEAR1,SOTHEVELOCITYRATIOBETWEENTHEMISN1/N1N3,AFTERMULTIPLYINGTHROUGHBYN3THISISTHEVELOCITYRATIOWENEEDFORTHETAMIYAGEARBOX,WHERETHERINGGEARDOESNOTROTATE,THESUNGEARISTHEINPUT,ANDTHEARMISTHEOUTPUTTHEPROCEDUREISGENERAL,HOWEVER,ANDWILLWORKFORANYEPICYCLICTRAINONEOFTHETAMIYAPLANETARYGEARASSEMBLIESHASN1N216,N348,WHILETHEOTHERHASN112,N218,N348BECAUSETHEPLANETARYGEARSMUSTFITBETWEENTHESUNANDRINGGEARS,THECONDITIONN3N12N2MUSTBESATISFIEDITISINDEEDSATISFIEDFORTHENUMBERSOFTEETHGIVENTHEVELOCITYRATIOOFTHEFIRSTSETWILLBE16/48161/4THEVELOCITYRATIOOFTHESECONDSETWILLBE12/48121/5BOTHRATIOSAREASADVERTISEDNOTETHATTHESUNGEARANDARMWILLROTATEINTHESAMEDIRECTIONTHEBESTGENERALMETHODFORSOLVINGEPICYCLICGEARTRAINSISTHETABULARMETHOD,SINCEITDOESNOTCONTAINHIDDENASSUMPTIONSLIKEFORMULAS,NORREQUIRETHEWORKOFTHEVECTORMETHODTHEFIRSTSTEPISTOISOLATETHEEPICYCLICTRAIN,SEPARATINGTHEGEARTRAINSFORINPUTSANDOUTPUTSFROMITFINDTHEINPUTSPEEDSORTURNS,USINGTHEINPUTGEARTRAINSTHEREARE,INGENERAL,TWOINPUTS,ONEOFWHICHMAYBEZEROINSIMPLEPROBLEMSNOWPREPARETWOROWSOFTHETABLEOFTURNSORANGULARVELOCITIESTHEFIRSTROWCORRESPONDSTOROTATINGAROUNDTHEEPICYCLICAXISONCE,ANDCONSISTSOFALL1SWRITEDOWNTHESECONDROWASSUMINGTHATTHEARMVELOCITYISZERO,USINGTHEKNOWNGEARRATIOSTHEROWTHATYOUWANTISALINEARCOMBINATIONOFTHESETWOROWS,WITHUNKNOWNMULTIPLIERSXANDYSUMMINGTHEENTRIESFORTHEINPUTGEARSGIVESTWOSIMULTANEOUSLINEAREQUATIONSFORXANDYINTERMSOFTHEKNOWNINPUTVELOCITIESNOWTHESUMOFTHETWOROWSMULTIPLIEDBYTHEIRRESPECTIVEMULTIPLIERSGIVESTHESPEEDSOFALLTHEGEARSOFINTERESTFINALLY,FINDTHEOUTPUTSPEEDWITHTHEAIDOFTHEOUTPUTGEARTRAINBECAREFULTOGETTHEDIRECTIONSOFROTATIONCORRECT,WITHRESPECTTOADIRECTIONTAKENASPOSITIVE
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