摆动滚子从动件盘形凸轮廓线上任意点的曲率半径——Euler-Savary公式的一个应用

The Radius of Curvature at Any Point on the Profile of A Disk Cam with Oscillating Roller Follower——One Application of the Euler-Savary Equation

应用Euler-Savary公式导出了摆动滚子从动件盘形凸轮廓线上任意点曲率半径的一个新公式,解决了平面机构啮合理论研究中长期来没有解决的一个难题,新公式不仅可以先于凸轮廓线方程求出廓线上任意点的曲率半径,还找到了曲率半径和压力角之间的内在联系,从而可以置接把强度条件和传力性能结合起来考虑,有利于进一步简化该种凸轮机构的优化设计。

In this paper a new equation for the radms of curvature at any point on the pro-file of a disk cam with oscillating roller follower is developed by applying the Euler-Savaryequation. It solves a difficult problem which has not been answered in researching of meshing theory of planar mechanisms so far in this field. In the equation, not only can the radius of curvature be calculated prior to the cam profile equation, but the relation be-tween the curvature radius and the pressure angle has been set up. which directly connectsits strength with the property of transmitting force and makes it easier to optimize the cam design.