凸轮轴切点跟踪磨削加工策略

293湖　南　大　学　学　报　(自然科学版)Vo1.29,No.320026JournalofHunanUniversity(NaturalSciencesEdition)Jun.2002:1000-2472(2002)03-0061-06X罗红平1,周志雄1,孙宗禹1,肖真健2(1.,410082;2.,,518020):讨论了用切点跟踪磨削法磨削凸轮轴零件的一些关键性问题,给出了数控磨削时砂轮中心位移与凸轮转角间关系的数学模型和恒线速磨削条件下凸轮转动规律的数学模型,并在实验的基础上提出了磨削时凸轮转速优化的原则与方法.:切点跟踪;凸轮轴;磨削;恒线速;数学模型:TG580.1　　　　　　　　:　ATacticsonGrindingofCamshaftPartbyUsingMethodofTracingTangentPointGrindingLUOHong-ping1,ZHOUZhi-xiong1,SUNZong-yu1,XIAOZhen-jian2(1.CollegeofMechanicalandAutomobileEngineering,HunanUniv,Changsha410082,China;2.ShenzhenJinzhouCementedCarbideCo.LTD,Shenzhen518020,China)Abstract:Somekeytheoriesandtechniquesinthegrindingofcamshaftpartbyus-ingthemethodoftracingtangentpointgrindingarediscussed,Amathematicalmodeldescribingtherelationshipbetweenthedisplacementofgrindingwheelcenterandtherotationalangelofcamshaftisestablished.Accordingtotheprincipleofconstantspeedofgrindingpoints,themathematicalmodelconcerningtherelationshipbetweenthero-tatespeedandtherotationalangelofthecamshaftispresentedaswell.Finally,somesuggestionsontheoptimizationoftherotatespeedofthecamshaftareintroducedonthebasisoftheexperimentalresults.Keywords:tangentpointtracing;camshaft;grinding;constantspeed;mathematicalmodel1,X:2002-03-10:(59975028):(1978-),,,....(CNC),(X)(C),.,,,,,.,,,.2,,HH.,,,:H=H(H),.3,:().,H.H:H:图1　凸轮升程测量原理1.62()2002,.0,.,.2.O,r;O1,r1;O2,R.O,,OO2.,,H.P,,PO2P.P,PO1P,PO1O2.,,,,,.H(H),OMOO1,[1]:OM=dH(H)dH(1),OM=dH(H)dH;,OM=-dH(H)dH,.:H:H:X:R:r1:r:图2　滚子挺杆形式凸轮磨削示意图2:OO1=r+H+r1(2)OO1M=arctg(OM/OO1)(3)ONO1O2,:ON=OO1sinOO1M(4)O1N=OO1cosOO1M(5)NO2=O1N+R-r1(6)OO2=(ON)2+(NO2)2(7)633:,,2(H)X:X=OO2-R-r(8)(2)(7)(8),HX[2]:X=(r+H+r1)sin(arctg-dH/dHr+H+r1)2+(r+H+r1)cos(arctg-dH/dHr+H+r1)+R-r12-R-r(9),r1,r1;,r1=0.,X,H:=H+O1OO2=H+OO1M-OO2M=H+arctg(OMr+H(H)+r1)-arctg(ONNO2)(10)H,.XB,,,[3].X,.,i,j,R,:R=R0-2idR;NO2=O1N+R-r1+E;E=2nEk-2jEk,R0,dR,2idRi.E,2nEk,n,2jEkj.RNO2(6)(8)RNO2,.43,P,B.H(H),OMOO1,,:OM=-dH(H)dH;ONO1O2,(2)(6).:NP=O1N-r1(11)OP=ON2+NP2(12)B=H-O1OP=H-(NPO-OO1M)=H-arctg(ONNP)+arctg(OMr+H(H)+r1)(13)S(B),X,P:64()2002:H:B:H:R:r:r1:图3　凸轮磨削点速度求解示意图Vp=ds(B)dt=dsdBdBdddt(14):ds(B)dB=OP+(5OP/5B)2(15)ddt=X(16)(10)(13),H,B,B(B),dB/d;(12)(13)(15),ds/dB;Vp.w0,,,:Vp=w0r:dsdBdBdwp=w0rPnp(np=wp/2P):np=X0r2POP+(5OP/5B)2dB/d(17)npB,np,.5,,(60),;.,[4],.5.4.4(b)1,2,3.,,653:0.016mm,0.005mm,,[2].(a)(b)图4　优化前后的凸轮转速与转角关系图图5　凸轮转速优化流程图(88)66()2002,RS2324,,.MAX1044MAX485RS232-RS485.:[1].PC[M].,2000.[2]MaximIntegratedProducts.Switched-CapacitorVoltageConverters,1994:1-12.(66)6,,,.,,,,.:[1].[M].:,1980.[2].[D].,2001.[3],,.[J].,2000,4:14-15.[4],,.MACRO[J].,2000,8:32-34.88()2002