圆锥凸轮廓面的数控加工方法研究

应用微分几何理论,以在三维空间所建立的圆锥滚子摆动从动件圆锥凸轮机构凸轮廓面的解析表达式为基础,对数控铣床加工圆锥凸轮廓面所需刀具轨迹方程的建立方法进行了研究,根据所采用的锥形刀尺寸等于或小于圆锥滚子尺寸的情况,推导出相应的刀具轨迹方程的解析表达式.其结果可作为数控加工圆锥凸轮廓面编程时的基础数学模型.

Study on the Method for the NC Machining Conical Cam Profile

Numerically controlled machining is the most common method for generating spatial cam surfaces. It must be done before NC programming to determine the expression of cutter path. On applying the theory of differential geometry, the research presented in this paper shows the procedure of determining the required cutter path for cutting conical cam profile by using a NC milling machine based on the analytical profile expression of conical cam with oscillation conical roller follower established in 3D space. The analytical expression of cutter path is provided for a tapered endmill cutter, whose size may be identical to or smaller than that of the conical roller. The results are the programming base for NC machining the surfaces of the conical cams.