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1、ParameterOptimizationofHarmonicGearDriveBasedonHybridGeneticAlgorithmBoZeng,RanDing,ZefangZhou,ZhonglaiWang,HuanweiXuSchoolofMechatronicsEngineeringUniversityofElectronicScienceandTechnologyofChinaChengdu,P.R.ChinaAbstract-Addressingproblemsoflargervolumeofharmonicgear
2、intheconventionaldesign,inthispaper,amathematicalmodelofoptimizationwithhybriddiscretevariablesisproposedbytakingthemodulusofharmonicgeartransmissionparametersm，thelengthoffleasplineL，wallthicknessδandtoothwidthoffleasplinebasdesignvariables,andthesumofvolumeofcircular
3、splineandfleasplineasanobjectivefunctiontobeminimized.Duringtheprocedureofoptimization,thebasicideaofthehybridgeneticalgorithmisconstructe,andthebasicprocedureofthehybridgeneticalgorithmiscompiled.Thehybridgeneticalgorithmusedintheparameteroptimizationofharmonicgeardri
4、veistestifiedtobeeffective,andoptimizationresultscanmeetthedesignstandard.Therefore,theproposedmethodwillbeofthesignificantguidingvaluetoengineeringpractices.Keywords-harmonicgeardrive;hybridgeneticalgorithm;ParameteroptimizationI.INTRODUCTIONHarmonicgeardriveisakindof
5、newgeardrivesdevelopedinthepastdecades,consistedofflexspline,circularsplineandwavegenerator,andittransfersmovementbasedontheelasticdeformationofharmonicgear.Althoughthedesignedharmonicgearcanmeettherequirementswiththetraditionaldesignmethod,thedesignparametersarenotalw
6、aysthemostreasonable.Moreover,thedesignefficiencyislowbutdesigncostishigh.Inordertomaketheharmonicgeartechnologyappliedwidely,someimprovementsshouldbemade.Themainproblemsexistedinharmonicgeardriveare:(1)interferenceingearengagement,suchastheoverlapinterferenceofprofile
7、andtransitioncurveinterference,whichareduetoimproperselectionofthesizeparameters;(2)thefatiguefailureofflexsplinecausedbytorsionstressandlargebendingstress;(3)largestartingtorque,highcalorificvalueofdeviceandhightransmissionratiolimitetc.Tosolvetheseproblems,itisnecess
8、arytodoreasonablydesignandchooseparametersatthestageoftheharmonicgeardesign[1].Duringtheprocedureoftheoptimizationofh
