平面杆机构位置求解的函数逼近法

本文通过原动件转换,给出原动件与转换构件角位移间的函数关系,再将其反函数用一多项式逼近。用机构有限个位置的角位移及其类速度值,通过求解线性方程组可确定此多项式的待定系数,从而提供了一种求解机构位置问题的新方法。该方法与现有的方法比较,当要求同时确定两个极限位置及多点位置时,比较简单,易于编制通用程序。

The method of function approximtion for determining positions of complex planar mechanisms

A new method for determining positions of mechanisms is presented in this article. First of all, explicit function of angular displacement between the driving link and the conversion of driving link is given. And then, a polynomial is used to approximate its inverse function. The system of equations is obtained by using some values of angular displacemnt and their analog of angular velocity so that the indeterminate coefficients of the polynomial can be determined by the solution of questions. Comparing with the existing methods, it is a simple method to determine the limit positions and many other positions. A general program can be easily progrmmed.