径向剃齿刀齿面修形的影响分析及仿真

摘要

The design of plunge shaving cutter with high precision,high reliability and good manufacturability is studied to facilitate the CNC manufacturing system for plunge shaving cutter.The mathematical model of the plunge shaving cutter and the working gear is established by using the method of differential geometry and gear meshing theory.The plunge shaving cutter tooth surface and the involute helix profile are compared and analyzed for tooth surface modification of plunge shaving cutter.The results show:Tooth surfaces of plunge shaving cutter appear in concave and diagonal warp,its flank profie and tooth curve are all concave,and it is less cancave in the middle than on both ends;Different cross axis needs different tooth modification;The size of modification increases with the cross axis;While cross axis is 8°,the minimum modification is 2μm;While cross axis is 15°,the maximum is 14.5 μm;Diagonal modification of cutter tooth face is almost the same;The maximum modification of tooth direction of plunge shaving cutter is 20μm,the minimum modification is 12.4 μm.%为实现径向剃齿刀与现代数控制造系统对接的目的.文中利用微分几何与齿轮啮合原理,建立径向剃齿刀与被加工齿轮之间的数学模型,通过对比径向剃齿刀齿面与标准渐开螺旋面,对径向剃齿刀齿面进行修形.仿真结果表明:径向剃齿刀齿面呈中凹且对角翘曲,径向剃齿刀齿形、齿向曲线均中凹且在中部中凹量小于两端的中凹量,刀具齿面修形量的大小随轴交角的增大而增大,轴交角为8°时修形量最小2 μm,轴交角为15°时修形量最大14.5 μm,且刀具齿面对角位置修形量大小一致;加工修形齿轮时径向剃齿刀齿向修形量最大为20 μm,修形量最小12.4μm.