球面成型研磨表面轨迹分析

Surface Trace Analysis for Spherical Contour Lapping

对基于双轴转动的球面成型研磨轨迹进行了分析,采用直角坐标与球面坐标连续转换的方法,推导出球面任意点的研磨轨迹,并绘出三维空间曲线。通过对不同研磨条件下轨迹进行分析,发现了研磨轨迹的自封闭特性。当斜轴转速高于下轴转速且两轴转速按照一定的规律进行分配时,球面研磨轨迹的均匀性较好。

Trace of contour lapping which was driven by two axes was studied. By using continuous transformation between Cartesian coordinate and spherical coordinate, the trace of any point on sphere was brought out and plotted in 3D space. Through the analysis on the different lapping conditions, the conclusion can be drawn that any trace on sphere is self closed. When the speed of tilt axis is higher than that of lower axis and the speeds of two axes comply with certain rules, the uniformity of lapped spherical surface can be better.