基于高副低代方法的平面凸轮设计

基于高副低代原理，将平面凸轮机构代换为平面连杆机构，运用圆向量函数建立代换机构的位移、速度、加速度矢量方程式，通过计算虚拟连杆的杆长和方向，求得凸轮实际廓线、曲率半径和压力角的表达式。并给出用圆形刀具加工凸轮时刀具中心的轨迹方程。运用该方法详细分析了滚子直动和滚子摆动从动件盘形凸轮机构中的凸轮设计问题，并对平面凸轮进行了设计，结果表明，该方法正确可行。

Design of a planar cam by means of low pairs replacing high pair

A new method for planar cam design was proposed. Based on the method of low pair replacing high pair, the problem of cam design was transferred to that of planar linkage design. By means of rotary unit vectors, the equations of displacement, velocity and acceleration of the virtual mechanism were developed. And then, the virtual linkage's length and direction were deduced. Cam profile, curvature radius and pressure angle were calculated. The center's track equation of the circular cutter for manufacturing the cam profile was presented. Based on this method, cam design with straight and swinging roller follower were analyzed in detail. The actual planar cam design example was given. It was illustrated that the method was simple and effective for planar cam design.