基于实码遗传算法的汽车变速箱可靠性优化设计

3152004JOURNALOFBEIJINGUNIVERSITYOFCHEMICALTECHNOLOGYVol.31,No.52004(,100029):,,,BC174B:;;;:TH122:2003210212:,1957,E2mail:[e-mail],,,,,,,,,1111[1]H=ZHZEZZFtKAKVKHKHbd1u1u(1):lnH=lnZH+lnZE+lnZ+lnZ+015[lnFt+lnKA+lnKV+lnKH+lnKH+ln(u1)-lnb-lnd1-lnu](2),,lnH,Hd1mnbu,,H[2]H=ZHZEZZFtKAKVKHKHbd1u1u(3)CH=[C2HM+C2ZH+C2ZE+C2Z+C2Z+14(C2Ft+C2KA+C2KV+C2KH+CKH)]12(4),CHM=0104,[2];Ft,ZH,,KA,,[1];CFt,CZH,CKA,,[2][1]HP=HlimZNTZLZVZRZWZX(5)[3]HP,HPHP=HlimZNTZLZVZRZWZX(6)CHP=[C2Hlim+C2ZNT+C2ZL+C2ZV+C2ZR+C2ZW+C2ZX]12(7),Hlim,ZNT,[1];CHlim,CZNT,[2],ZRH=lnHP-lnHC2HP+C2H(8)RH=(ZRH)112F=FtKAKVKFKFbmnYFYSYY(9),lnF,lnF,FFF=FtKAKVKFKFbmnYFYSYY(10)CF=[C2FM+C2Ft+C2KA+C2KV+C2KF+C2KF+C2YF+C2YS+C2Y+C2Y+]12(11),CFM=0104,[2];YF,[1];FYF,[2][1]FP=FlimYSTYNTYrelTYRrelTYX(12)[4]FP,FPFP=FlimYSTYNTYrelTYRrelTYX(13)CFP=[C2Flim+C2YST+C2YNT+C2YelT+C2YRrelT+C2YX]12(14),Flim,YST,[1];CFlim,CYST,[2]ZRF=lnFP-lnEC2FP+C2F(15)RF=(ZRF)2414,41()44,214Fig.1Gearingof42stagegearbox21144:z01,z02,1z11,z12,2z21,z223z31,z32,,x1,mn,z1,z2,b,424X=[x01,mn0,z01,z02,0,b0,x11,mn1,z11,z12,1,b1,x21,mn2,z21,z22,2,b2,x31,mn3,z31,z32,3,b3]T(16)212:,,,f(X)=w1f1(X)+w2f2(X)+w3f3(X)(17),w1w3;f1(X);f2(X);f3(X)(1)[1]Pmax=d21bn12HPZ2K(18)3015:,K=KAKVKHKH(u+1)/u;Z=ZHZEZZ;n1f1=max1i4(1/Pi)(19)(2),f3(X)=max1i3M0-MiM0(20),M0,Mii(3),f4(X)=max1i3|ui-ui|(21),ui,ui213(1)lnHP-lnHC2HP+C2H[ZRH](22)lnFP-lnFC2FP+C2F[ZRF](23),[ZRH]=[ZRF]=2188,9918%8,16(2),:1);2);3);4)243,,,,311(1),,,Vk=[vk1,vk2,,vkn]k=1,2,,m(24)(2),E(Vk)=(1-)k-1k=1,2,,m(25),m,01(3)Vi,Vj,Vi=cVi+(1-c)VjVj=(1-c)Vi+cVj(26),c(0,1)(4)Vi,Vi=Vi+cMd(27),dn,M,,[5]312BC174B:m=200,pc=016,pm=012,N=250,1BC174B,,,,40120041BC174BTable1OriginalandoptimizeddesignparametersofBC174Bvehiclegearboxx010142838101404005mn021752175z011919z02303002719929106b0181812x110116601104806mn133z111413z12343112216230b11818125x21010601140002mn233z211919z22283022513316182b21818155x310145648101620738mn321752175z312627z32232432719921123b3181812517213582181201210104330116801162ZE,N/mm2KHKHZLZVZRF,N/mm2FlimN/mm2[1]GB/T3480-1997.[M].:,1998[2].[M].:,1989[3].[J].,1994,18(3):34-37[4]HansWinter.[C]..:,1977[5].[M].:,1998[6]HaugenEB.Probabilisticmechanicaldesign[M].Dor2drecht:JohnWiley&SonsPress,1980Reliabilityoptimizeddesignofautomobilegearboxbasedonreal2codedgeneticalgorithmBiChun2changZhangYou2chen(CollegeofMechanicalandElectricalEngineering,BeijingUniversityofChemicalTechnology,Beijing100029,China)Abstract:Thereliabilitydesignofinvolutecylindricalgearswasstudiedtheoretically,andareliabilityoptimiza2tionmodelofanautomobilegearboxwasproposed.Inordertoobtainglobaloptimalresults,thereal2codedge2neticalgorithmwasusedtosolvelargecomplexoptimizationproblems.Theresultsshowthatthemethodissuc2cessfullyappliedtothereliabilityoptimizeddesignofanautomobilegearboxforBC174B.Keywords:gearboxtransfer;reliabilitydesign;geneticalgorithm;optimizationdesign()5015: