计时轨迹发生机构综合的封闭形式的解析解

Closed form analytic solution for the synthesis of mechanism of timing locus generation

应用位移矩阵法，借助计算机代数系统，本文导出了计时轨迹发生机构综合问题封闭形解的一元四次代数方程式。从而使得该综合问题的求解不仅避免了求解非线性方程组，而且在不需要给出任何初值的情况下，就能方便地直接求出问题的全部解，文章还对该综合问题的解进行了分析，指出了实现五个精确点的计时诸轨迹发生机构解之间的关系。

By the use of displacement matrices method and with the aid of computer algebric system this paper derived a fourth ordered unitary algebric equation for the closed form solution of the synthetic problem of timing locus generation mechanism.This made the solution of this synthetic problem not only avoided the solving of nonlinear equations but also the complete solutions of this problem can be obtained easily and directly without the condition of giving out any initial values.This thesis also carried out an analysis on the solution of this synthetic problem and pointed out the relation between various solutions of five precision points of the timing locus generation mechanism.