optimization of asymmetric spur gear drives to improve

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1、ARTICLEINPRESSMechanismandMachineTheoryMechanismandMachineTheoryxxx(2007)xxx–xxxwww.elsevier.com/locate/mechmtOptimizationofasymmetricspurgeardrivestoimprovethebendingloadcapacityV.SenthilKumar,D.V.Muni,G.Muthuveerappan*IndianInstituteofTechnologyMadras,DepartmentofMech

2、anicalEngineering,Chennai,Tamilnadu600036,IndiaReceived10October2006;receivedinrevisedform30May2007;accepted27June2007AbstractInagivensizeofsymmetricinvolutegeardesignedthroughconventionalapproach,astheloadcarryingcapacityisrestrictedatthehigherpressureangleduetotipping

3、formation,theuseoftheasymmetrictoothedgeartoimprovethefilletcapacityinbendingisexaminedinthisstudy.Non-standardasymmetricrackcutterswithrequiredpressureanglesandmodulearedevelopedtogeneratetherequiredpinionandgearofadrivewithasymmetricinvolutesurfacesandtro-choidalfilletp

4、rofiles.Therespectiveprofilesthusgeneratedareoptimizedforbalancedfilletstressesthatareequalandpossiblythelowestalso.Forthisstudyofoptimization,severalnon-standardasymmetricrackcuttersaredesignedtoaccommodatedifferentcombinationsinthevaluesofpressureangle,toplandthicknessrat

5、io,profileshift,speedratioandtheasymmetricfactors.Howeverforanydrivewithagivencenterdistanceandaspeedratio,onlytwonon-standardasymmetricrackcutters,oneforthepinionandotherforthegearareusedtogeneratearequirednumbersofpinionandgearwithdifferentcuttershiftvaluesforthepurpose

6、ofoptimization.Theinfluenceoftheseparametersonthemaximumfilletstresshasbeenanalyzedtosuggesttheoptimumvaluesoftheseparametersthatimprovethefilletcapacityinbending.Theoptimizationoftheasymmetricspurgeardriveiscarriedoutusinganiterativeprocedureonthecalculatedmaximumfilletstr

7、essesthroughFEMfordifferentrackcuttershiftsandfinallytheoptimumvaluesofrackcuttershiftsaresuggestedforthegivencenterdistanceandthespeedratioofanasymmetricgeardrive.Comparisonshavealsobeenmadesuccess-fullywiththeresultsoftheAGMAandtheISOcodesforsymmetricgearstojustifythere

8、sultsofthefiniteelementmethodpertainingtothisstudy.Ó2007ElsevierLtd.Allrightsreserved.Keywords:Optimumdrive;Non