圆柱齿轮减速器的最小体积

第1期(总第164期)2011年2月机械工程与自动化MECHANICAL　ENGINEERING　&　AUTOMATIONNo.1Feb.:1672-6413(2011)01-0186-02圆柱齿轮减速器的最小体积优化设计杜海霞(陕西理工学院机械工程学院,陕西　汉中　723003):提出了一种基于惩罚函数法的直齿圆柱齿轮减速器的优化设计方法,以体积最小为优化设计目标,给出了优化模型,最后通过实例证明了这种优化设计方法的优越性。:减速器;优化设计;惩罚函数法:TH132.46:B:2010-06-01;:2010-10-21:(1974-),,,,0,,,,,,,,1111.1　目标函数的建立(),,:V=0.25Pb(d12-dz12)+0.25Pb(d22-dz22)-0.25(b-c)(Dg22-dg22)-Pd02c+0.25Pl(dz12+dz22)+7Pdz12+8Pdz22=0.25P[m2z12b-dz12b+m2z12i2b-dz22b-0.8b(mz1i-10m)2+2.05bdz22-0.05b(mz1i-10m-1.6dz1)2+dz22l+28dz12+32dz22](1):m;i;z11.2　确定设计变量,,,,,,:(1),,Vbz1mldz1dz2,:x=[x1,x2,x3,x4,x5,x6]T=[b,z1,m,l,dz1,dz2]T:f(x)=Vmin1.3　约束条件的建立(1)z1zmin=17:g1(x)=zmin-z10(2)UminbdUmax(,UminUmaxUd,Umin=0.9,Umax=1.4):g2(x)=Umin-b/(mz1)0g3(x)=b/(mz1)-Umax0(3)2:g4(x)=2-m0(4),d1max,:g5(x)=z1m-d1max0(5)dzmindzdzmax,:g6(x)=dz1min-dz10g7(x)=dz1-dz1max0g8(x)=dz2min-dz20g9(x)=dz2-dz2max0(6)llb+2$min+0.5dz2(,$,$min=20),:g10(x)=b+0.5dz2+40-l0(7)RHRF,:g11(x)=RH-[R]H0g12(x)=RF1-[R]F0g13(x)=RF2-[R]F0(8)Dmax[D]=0.003l,:g14(x)=Dmax-[D]0(9)RW[R]W=5.5MPa,:g15(x)=RW1-[R]W0g16(x)=RW2-[R]W02,P=58kW,n1=1000r/min,i=5,[R]H=550MPa,[R]F=400MPa:minf(x)=0.785398(4.75x1x22x32+85x1x2x32-85x1x32+0.92x1x62-x1x52+0.8x1x2x3x6-1.6x1x3x6+x4x52+x4x62+28x52+32x62)s.t.:g1(x)=17-x20g2(x)=0.9-x1/(x2x3)0g3(x)=x1/(x2x3)-1.40g4(x)=2-x30g5(x)=x2x3-3000g6(x)=100-x50g7(x)=x5-1500g8(x)=130-x60g9(x)=x6-2000g10(x)=x1+0.5x6+40-x40g11(x)=RH-5500g12(x)=RF1-4000g13(x)=RF1y21y22/(y11y12)-4000g14(x)=Dmax-0.003x40g15(x)=RW1-5.50g16(x)=RW2-5.50:y11y12;y21y22616,:x0=[b,z1,m,l,dz1,dz2]T=[230,21,8,420,120,160]Tf(x0)=6.3210710,:x*=[211.99,22.12,8.39,322.37,101.75,130.24]T,:x=[220,22,8,330,100,130]Tf(x)=5.66129610710.42%,3,,,,10.42%,[phone]年第1期　　　　　　　　　　　杜海霞:圆柱齿轮减速器的最小体积优化设计NT20NT20RS232CCP1HCPU,PLCCP1H-XA40DR,4242,,,PLC2CP1CPU,CPU,0.1mm,,PLC,2.2　控制系统功能实现CP1HCX-PROGRAMMERV7.0,NT20NTST4.8C,,,,100,,,,,,3,,:[1].[M].3.:,2007.[2].[M].:,2005.DesignofControlSystemofAutomaticHydraulicTwo-rollerBendingMachineWANGGuo-qiang(ForgingMachineryManufacturingCompany,ChangzhiIronandSteelGroup,Changzhi046011,China)Abstract:Two-rollerbendingmachineiswidelyusedinautomobileindustry,chemicalindustry,householdappliancesindustry,etc.Thepaperbrieflydescribedtheworkingprincipleofanautomatichydraulictwo-rollerbendingmachine,thendetailedlyintroducedtheschemedesign,hardwareselection,mainfunctionofthecontrolsystemofthetwo-rollerbendingmachine.Keywords:two-roller;bendingplatemachine;gratingscale;PLC(187):[1].[M].:,1999.[2],,.[M].:,2002.[3].[M].:,2004.[4].[J].,2003(2):18-19.[5].[J].,2006(7):88-90.[6],.[J].,2004(7):84-85.OptimizationDesignfortheMinimumVolumeofCylindricalGearReducerDUHai-xia(SchoolofMechanicalEngineering,ShaanxiUniversityofTechnology,Hanzhong723003,China)Abstract:Anoptimaldesignmethodbasedonmultiple-pattermethodforcylindricalgearreducerwasdiscussedinthispaper.Accordingtotherequirementsoftheoptimizationdesign,takingminimumvolumeasobjectivefunction,thepapersetuptheoptimalmodel.Atlast,themethodwasverifiedtobeaccuratebyanexample.Keywords:reducer;optimaldesign;multiple-pattermethod189　2011年第1期　　　　　　　　　　　　　　　机械工程与自动化