Be not the current model seeking solution of milling cutter of circumgyrate of CNC Machining special type

Milling cutter of special type circumgyrate is the necessary cutting tool of the workpiece of free curved surface such as mould of treatment aviation spare parts, metal, it and numerical control machine tool or machining center cooperate to use can come true high quality, efficient treatment. Complication with each passing day as the development of CNC Machining technology and treatment object, the applied limits of cutting tool of face of special type circumgyrate and wastage are increasing ceaselessly. At present cutting tool of face of special type circumgyrate basically uses treatment of grinder of numerical control of much axis linkage, because equipment is costly (import grinder of a numerical control to need one dollar) about, production cost is accordingly higher. If can use grinding machine of existing and common tool to realize the blame CNC Machining of cutting tool of face of special type circumgyrate, can reduce the production cost of this kind of cutting tool greatly. The article gave out to be based on the plan of blame CNC Machining, general design model that fits large quantities of quantities to machine milling cutter of circumgyrate of different type particular kind, discussed the implementation method of axial and motion of radial and opposite feed. The author already used plan of blame CNC Machining to make milling cutter of helix of head giving a ball successfully, the article is the promotion application of achievement of pair of early days work. The working outline face of the milling cutter of circumgyrate of special type of general maths model of 2 point curve all is circumgyrate face, the helix point curve on circumgyrate face (those who see graph 1) definition is circumgyrate face to go up to become calm part with meridian is inclined sail line, its equation can express to be R={x with general formula, y, z}={f(u)cosv, f(u)sinv, g(u)} (1) pursues in the type of helix point curve on 1 circumgyrate face, u, v all is ginseng variable; F(u) is the circumgyrate radius of circumgyrate face, f(u) ≥ 0; V is F(u) and X axis to included angle. What go up to seek a circumgyrate range is inclined sail line, must seek solution first the first kind of main volume. By type (1) can get Ru={f(u)cosv, f(u)sinv, g(u)} Rv={-f(u)sinv, f (u)cosv, 0} reason has Rv=0 G=f2 of E=ru2=f2+g2 F=ru · to write down inclined sail the line assumes office of a bit cut vector to be Dr, cut vector to be Dr through warp of this bits. Considering to longitudinal Dv=0, because this has Dr=rudu | Because Rvdv Dr=rudu is inclined sail line and warp become certain part J, the included angle of reason Dr and Dr is the J that decide a value, formula of included angle computation is Cos2j=(dr · Dr)2=Edu2 | Dr | | Dr | Esin2jdu2=Gcos2jdv2 can be gotten to take after Edu2+Gdv2 is arranged in form of V=tanj ∫ U(f2+g2)½du+Cu0f(3) is being gotten after the root gets Dv=tanj(E/G)½du=tanj[(f2+g2)½/f]du(2) integral, c needs to give out according to the initiative condition of specific issue, with point curve the successive condition between different circumgyrate face is initiative condition. type (3) generation enters type (1) , the general maths model of the point curve that can get contain a parameter only and become the J that decide part with meridian. The implementation that 3 opposite feed move is opposite when milling cutter of special type circumgyrate undertakes is not CNC Machining, be made only by treatment milling cutter divide evenly fast circumgyrate moves, the figuration of groove of the helix on cutting tool is to pass grinding emery wheel to be in divide evenly fast revolving makes axial feed motion come true at the same time. In addition, because the different cut on circumgyrate face is circular radius is different, and grinding emery wheel is to press round radius of the biggest chunk to design normally, the radial feed motion that because this adds man-hour,must pass emery wheel will realize the groove grinding of different radius. Accordingly, in the blame CNC Machining of milling cutter of special type circumgyrate, opposite feed motion is to show emery wheel is opposite the axial motion at milling cutter and the synthesis that radial moves move. Axial feed moves the axial feed that this literary grace realizes milling cutter of special type circumgyrate to be not CNC Machining with end panel cam mechanism moves. Cam main transfer machinery can arise to give the mobile contrail of function. The function of cam mechanism displacement that the article designs reachs according to the point curve equation on circumgyrate face. Set the W=dv/dt(v that be by the speed of corner coming back of treatment milling cutter to be point curve general formula (the angle parameter) in 1) , the cam in machining a process makes divide evenly the speed of corner coming back that fast circumgyrate moves is W, your Aw=w(a>0) , criterion general formula of cam displacement function can adopt general formula of curve of cutting tool point (3) is begged piece, the method is the U=u(v) of function of relation V=v(u) negate that issues equation of pair of contented point curve in initiative condition, enter its era general formula of curve of circumgyrate face point (the axial heft Z=g(u)=g in 1) [U(v) ] in, can get the displacement function of cam. Because the design of curve of cutting tool point is in order to be in the joint of two circumgyrate face is initiative condition continuously glossily, the cam displacement function that accordingly derivation gives reason is in the joint of two circumgyrate face also is smooth and successive. The profiling orgnaization that the radial feed of CNC Machining of blame of milling cutter of circumgyrate of special type of radial feed motion moves to go up through tool grinding machine will come true, radial feed changes along with the change of circumgyrate face radius, namely milling cutter radius from R → 0 when, → of R of radius of feed You Xinhou 0, can appear only so rudimental circumgyrate face and won't have arisen to cut, and rudimental circumgyrate face grinds emery wheel more easily to undertake compensating through repairing. Set radius of the circumgyrate on circumgyrate face to nod the feed of place to be S for F(u) , can reach according to S=rR-f(u)R-0 of profiling curve equation the general formula seeking solution of radial feed needs to get on circumgyrate face only for S=r-(r/R)f(u)=r-(r/R)(x2+y2)½(4) a bit more aleatoric coordinate generation enters type (4) , can beg the radial feed that goes out this a little bit. Because smooth join is between each circumgyrate face, and point curve is in the joint of two circumgyrate face is smooth and successive, because this profiling curve is in of two curved surface have sex be in also is smooth and successive. The watch below the 4 example that seek solution gave out milling cutter of circumgyrate of two kinds of special type (milling cutter of ball head circular arc and the circle that take part is conic milling cutter) the example seeking solution of point curve and opposite motion equation. The parameter meaning in the watch sees a picture 2, graph 3. The Q in the watch is cam displacement curve to be worth in the angle between different circumgyrate face. Express milling cutter of circular arc of head of ball of the example that seek solution to bring horny circle taper seat of face of round circumgyrate of character of cover of circumgyrate of circular arc of part of head of ball of conic milling cutter pursues milling cutter of circular arc of 2 balls head pursues the helix groove of milling cutter of circumgyrate of 5 epilogue special type and grinding use conic milling cutter of circle of 3 belts horn the design of emery wheel, the article is omitted. The milling cutter of special type circumgyrate of article introduction makes a method adopt plan of blame CNC Machining, craft is simple, cost is low, produce at large quantities of quantities of milling cutter of special type circumgyrate aptly especially, have good market prospect. But this method is unwell be developed at experimental cutting tool or odd a small lot production. CNC Milling