刚体导引的平面四杆机构综合的新解法

NEW APPROACH FOR THE SYNTHESIS OFPLANAR PATH GENERATORS

基于连杆转动极与机构铰链点的几何关系，借助计算机代数系统，导出了求解刚体导引的平面四杆机构综合问题封闭型解的一元四次代数方程。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。给出的实例，证明了该方法的有效性与优点。

Based on the pole method and the computer symbolic manipulating techniqne,a fourth order algebraic equation with single variable is derived for the closed form soluti-on of planar path generators. The newly developed solution method eliminates the requi-rement of solving system of nonlinear equations. All solutions of the problem can be ob-tained directly and easily without the need of initial values. A numerical example isgiven demonstrating the efficiency and advantages of the method.