用任意空间曲线控制的复杂组合曲面数控加工算法研究

30319986JournalofNanjingUniversityofAeronautics&AstronauticsVol.30No.3Jun.1998X(CAD,210016),,,,,:;;;;:TP391.73(Cutterlocationpoint),::,,;:uv,;:(xoy),,,,,,,,,,,,,(),,,,,(),()X:1997209202;:1997211220,,19651211.1NURBSro(u)=ni=0Ni,k(u)XiVyini=0Ni,k(u)Xi(0u1)(1)NURBSSt(u,v)=ni=0mj=0XijVyijNi,k(u)Nj,l(v)ni=0mj=0XijNi,k(u)Nj,l(v)(0u,v1)(2):Xi,Xij;Vyi,Vyij;Ni,k(u),Nj,l(v)klB,U={0,,0,uk+1,,un,1,,1}V={0,,0,vl+1,,vm,1,,1}112u,vu,(1),v(2,3),u,1[2,3]1.3,,,:(1),;(2),;(3),9423:2u,v3TrimmedNURBS,uv,,,,,()(),,[4,5]2,,:EF,$ABCE,F,A,B,CX,Y,EFAB,BC,CA,MNZ4MNEFABC45,5X,Y,,,,,,,,,(1)xmin{xE,xF}xmax{xA,xB,xC}ymin{yE,yF}ymax{yA,yB,yC},;05230(2)xmax{xE,xF}xmin{xA,xB,xC}ymax{yE,yF}ymin{yA,yB,yC},,,,r,c,S=2c(2r-c)QrQ(3)Q,,,,,,6:(1)()(2),AGrk=ûaxG+byG+czG+dûa2+b2+c2(4),a,b,c,dax+by+cz+d=0,rk,xG=xA,yG=yAzG-zA(3),,,,767MAB,T,G(4),:(1)MTAC,BC,ABMGN,NABûNQû=rk,,zN-zM1523:(2),MTBC,MGN,NBCûNQû=rk,zN-zM(3)MTAC,MGN,NACûNQû=rk,zN-zM,,,,[6]3,,,;,8;,8,,,,(),1,,.NURBS.,1997,29(3):257-2612YongSeokSuh,LeeKunwoo.NCmillingtoolpathgenerationforarbitrarypocketsdefinedbysculpturedsurfaces.Computer2AidedDesign.1990,22(5):273-2843IbrabimZeid.CADöCAMtheoryandpractice.McGraw2Hill,Inc,19914.CAM:[].:,19975ShengX,HirschBE.Triangulationoftrimmedsurfacesinparametricspace.Computer2AidedDesign,1992,24(8):437-4446,,..,1996,28(6):818-8247.CADöCAM.:,1994.169-19125230NCMillingforComplicatedMulti-SurfacesControlledbyArbitrarilySpatialCurvesSunKehaoChenWenliangQiaoXin(CADCenter,NUAANanjing,210016)AbstractBasedonthetriangulationofparametricsurface,anewmethodoftoolpathgenerationforcomplicatedmulti2surfacesispresented.Thepseudotooltrajectoriesaregeneratedonasimpleparametricsurfacecreatedthroughsomearbitrarilyspatialcurveswhicharegivenascontrollingboudaries.Andthenthegeneratedtooltrajectoriescanbeprojectedontomanyplanartriangularpatcheswhichareobtainedbydiscretizingthepartsurfaces.Somefeaturesaretakenintoaccountsuchasmachiningprecision,stock,andcollision.Thetoolpathforthespecifiedfieldsofthepartsurfacescanalsobeobtainedeasilythroughthismethod.Keywords:numericalcontrolcutting;toolpath;triangularpatch;parametricsurface;projection1998321-24,606624608,,;,,,,;,,,()3523: