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展成法加工的弧齿锥齿轮仿切几何建模方法(英文).docx

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展成法加工的弧齿锥齿轮仿切几何建模方法(英文) GeometricModelingMethodofArcToothBevelGearsforGeneratingGearHobbing Abstract: Thearctoothbevelgeariswidelyusedinvariousmechanicaldevices,andithasuniqueadvantagesintermsofnoisereductionandefficiencyimprovementcomparedwithtraditionalstraightbevelgears.Toproducearctoothbevelgears,thegeneratinggearhobbingmethodiscommonlyused,whichrequiresaccurategeometricmodelingofthegear'stoothprofile.Inthispaper,ageometricmodelingmethodofarctoothbevelgearsforgeneratinggearhobbingisproposedbasedontheconjugatetoothsurfacestheoryandtheprincipleofpitchpointtranslation.Theentireprocessfromgeardesigntogearhobbingisintroducedindetail,andtheresultsshowthattheproposedmethodcaneffectivelyimprovetheaccuracyandefficiencyofgearhobbingforarctoothbevelgears. Introduction: Thearctoothbevelgearisaspecialtypeofbevelgearthathasanarc-shapedtoothprofile.Comparedwithtraditionalstraightbevelgears,ithasadvantagesintermsofnoisereduction,efficiencyimprovement,andloadcapacityenhancement.Therefore,ithasbeenwidelyusedinvariousmechanicaldevices,suchasautomobiles,machinetools,andreductiongears. Toproducearctoothbevelgears,thegeneratinggearhobbingmethodiscommonlyused.Inthismethod,thegearhob,whichisacuttingtoolwithahelixanglematchingthegeartoothprofile,isrotatedandmovedalongthegear'stoothsurface.Duetothethree-dimensionalmotionofthegearhobandthecomplexgeometryofthetoothprofile,theaccuracyandefficiencyofgearhobbingforarctoothbevelgearsareheavilydependentonthequalityofthegear'sgeometricmodeling. Inthispaper,weproposeageometricmodelingmethodofarctoothbevelgearsforgeneratinggearhobbingbasedontheconjugatetoothsurfacestheoryandtheprincipleofpitchpointtranslation.Theentireprocessfromgeardesigntogearhobbingisintroducedindetail,andtheresultsshowthattheproposedmethodcaneffectivelyimprovetheaccuracyandefficiencyofgearhobbingforarctoothbevelgears. GeometricModelingMethod: Thegeometricmodelingmethodofarctoothbevelgearsforgeneratinggearhobbingconsistsoftwomainsteps:generatingtheconjugatetoothsurfacesandtrans