基于改进遗传算法的圆锥滚子轴承优化设计方法的研究

:1001-2265(2006)09-0001-03:2006-03-203:(50575205);(Y105686):(1982),,,CAD/CAM,,(E-mail)[e-mail]3,,(,310027):,(SimpleGeneticAlgorithmSGA),,[1],CAD:;;;;:TH132:AResearchontheMethodsofOptimalDesignofTaperRollerBearingBasedonImprovedGeneticAlgorithmHEShao2wu,WUYi2jie,ZHOUGang(InstituteofModernManufacturingEngineering,ZhejiangUniversity,Hangzhou310027,China)Abstract:AwayoftheoptimaldesignoftaperrollerbearingwithImprovedGeneticAlgorithm(IGA)ispres2entedinthispaper.Basedonthefact,thispaperimprovesthegeneticparametersofSimpleGeneticAlgorithm(SGA)andusetheAnnealingpenaltyfunctionmethodstoprocesstheconstraints.TheimprovedGeneticAlgo2rithmperformsbetterthanSynthesizeconstraineddual2descentmethodintheoptimaldesignoftaperrollerbear2ing.ThusitcansolvethevitalproblemofthedevelopmentoftaperollerbearingCADsystem.Keywords:theoptimaldesignoftaperrollerbearing;improvedgeneticalgorithms(IGA);simplegeneticalgo2rithms(SGA);annealingpenaltyfunctionmethods;synthesizedconstraineddual2descentmethod.(SCDD)0,2005,2.04,CAD(SCDD),,CAD(GA),11:T();B;C;E;D;d;1:L10=(Cr/P)10/3;:L10:;Cr:;120069P:;,,,IS0281/1990,[2]:f(x)=Cr=bmfc(iLwecos)7/9Z3/4D29/27we:bm:,,bm=1.1;fc:;Z:;:;Dwe:;Lwe:;i:;fcLweDweZa0a1,:Cr=f(a0,a1,);a0;a1;:X=[X1,X2,X3]T=[a0,a1,]:(1):G1(X)=a0B-ka00(2):G2(X)=a1B-ka10(3):G3(X)=C-temp-r7max0G4(X)=temp-Lncos/cos-r6max0:temp=T-a0-Dwsin(-);(4):G5(X)=Si-0.07(D-d)0G6(X)=0.02(D-d)-|Si-Se|0(5):G7(X)=J-0.570(Dw10)J-0.057Dw0(Dw10)(6):G8(X)=Cb-KjS0(7):G9(X)=a0-0.61Dw51.85diDwCr[S]-109:ka0ka1Dwr7maxr6maxSiSeJCbKjSdiCr[S],[2]2(SGA),1975J.H.Holland[3]1989,Goldberg(SGA):(1)SGA;(2);(3):SGA,;(4):MTPcPm,,[4][5][6]3(1),,,,X=(x1,x2,x3)=(a,a1,)(2),:eval(X)=f(x)-1(t)P(X)Cr,P(X):P(X)=9i=1Gi(X)-|Gi(X)|22(Gi(X))1(t),t,(t),t,(t)0:(t)=1t2+1000(3),,32200E,[2]a0(a0min,a0max),:a0min=Ka0minB=0.16B;a0max=Ka0maxB=0.19Ba1,[0,1]RandNum,a0a0=2RandNum(a0max-a0min);100(4),,:PC:PC=0.7+0.25CurGenerationmaxGeneration,CurGeneration,maxGeneration(5),,,,;,,Pm[7]:Pm=0.49-0.3CurGenerationmaxGeneration:CurGeneration,MaxGeneration:[0,1]randnum,randnumPm:NewGene=Low+Rand(Up-Low):NewGene,Low,Up,Rand[0,1](6),,SGA[8](ProportionalSelection)(Elitistselection)101,100,101,101100,101100;100101,1012323,,,77.787kN,77.7438;,(691ms,300ms),0.7s,,(ImprovedGeneticAl2gorithms)(SimpleGeneticAlgorithms),1:100,200;100,200,0.85,0.251800,256M,1:,,31305E,Ks0.16,,,,,,,CAD,,,(7)320069,,,,[][1],.[M].:,2003.[2],,,.[J].,2004(3):5-7.[3]UGSLtdIntegratedSimulation&Verification(ISV)Help.[4],,..,2005(10):175-177.()(3)1(IGA)(SGA)(SCDD)a0(mm)a1(mm)(N)32303EIGA3.458011.14001237961.2SGA3.50931.18674237744.2SCDD3.4608051.14057237955.330208EIGA2.881011.8003261114.3SGA2.883241.8432260945.8SCDD2.88922011.801084261076.432216EIGA4.62262.31092201117.1SGA4.627922.42882200396.2SCDD4.630162.311262201042.533206EIGA4.25152.0005155’65602.7SGA4.25452.06155’65439.5SCDD4.25792.00062155’65582.14:;;:[][1].[M].:,2005.[2],[S].[3]JHHolland.Adaptioninnaturalandartificialsystems[M].MITpress,1975.[4]N.Swaminathan.CVRamakrisnan,R.Balamu-ruganOpti2malTopologyDesignofProductsUsingGeneticAlgorithmMa2terialsProcessingandDesign:Modeling,SimulationandAp2plications[J].NUMIFORM2004,2137-2142.[5]Besson,NW,Evaluationofthegeneticalgorithmasacomputa2tionaltoolinproteinNMR,Ph.D.dissertationHarvardUniver2sity,1995.[6]Zhuang.Z,Ergonomicevaluationofassistivedevicesandmanu2almethodsforresident-handlingtasksinnursinghomes,Ph.D.dissertation,WestVirginiaUniversity,1995.[7],,;,,.[M].:,2003.[8],.[J].,2000,14(1):52-54,58.()720069