基于啮合角函数的滚子从动件盘形凸轮轮廓的求解

Analytic Solution Based on Engaging Angle Function to Disk Cam Profile with Roller-Follower

采用基于啮合角函数的共轭齿廓求解方法,研究了滚子从动件盘形凸轮工作轮廓与从动件工作表面在接触点处的几何关系,给出了基于啮合角函数的盘形凸轮工作轮廓,压力角和曲率半径的直接求解方法·该方法可直接给出凸轮工作轮廓,压力角和曲率半径解析解·为采用解析法设计凸轮机构提供了一种简便有效的新途径,为滚子从动件盘形凸轮机构的CAD/CAM提供了良好的数学模型·

Based on an engaging angle function and introducing the solution to conjugate tooth profile of a pair of gears, the geometrical relation between the working profile of a disk cam and that of relevant roller-follower is investigated at a contact point. A direct analytic solution is thus obtained on the basis of engaging angle function, including the working profile of disk cam, pressure angle and radius of curvature. The solution proposed will provide analytically a new simple and efficient approach to the design of cam mechanism especially a reliable mathematic model available to the CAD/CAM of the pairs of disk cam and roller-followers.