摆动从动杆盘形凸轮机构最小尺寸的完全解法

Thorough Solution of the Minimum Size of Disc Cam Mechanism with Oscillating Follower

摘要:

摆动从动杆盘形凸轮机构的最小尺寸综合问题，迄今未获得圆满解决。基于类速度图原理，通过引入“辅助平行直线族”，求解其与限制凸轮轴心位置若干直线族的交点族中的最左端、最右端者，理论上严格保证其集合为限制凸轮轴心位置的边界点、边界线，进而给出限制凸轮轴心位置的边界点、边界线的精确解析解和离散数值解法，据此直接求解凸轮的最小基圆半径、摆杆长度和直观显示凸轮轴心的容许选取区域，从而解决了按许用压力角设计最小尺寸的摆动从动杆盘形凸轮机构的问题。通过机构设计实例，验证了所提方法的正确性和有效性。

Abstract:

The synthesis of mechanism the disc cam mechanism with oscillating follower has not been completed satisfactorily. The synthesis was solved completely by introducing a concept of auxiliary parallel line family based on the principle of analogous velocity chart. The left and right end points of intersection of the auxiliary parallel lines and the lines which limited the axis position of cam were solved. Through this method, the boundary points and lines of the axis position of cam were achieved in theory. Then the accurate analytical solution and the numerical discretization method for solving the points and lines were presented. According to this method, the minimum sizes of the base circle radius and the length of pendulum can be derived directly and the allowable selected area of the axis position of cam can be presented. The synthesis of the disc cam mechanism with oscillating follower is completed satisfactorily. The mechanism design example shows that this method is corrected and effective.