基于Groebner基的平面两自由度七杆滑块机构位置分析符号解

Symbolic approach for displacement analysis of planar two-DOF seven-bar and slider linkages based on groebner base method

基于Groebner基法和计算机符号处理技术,对平面两自由度七杆滑块机构位置分析问题进行了符号求解。该法通过对变量的排序,建立多项式对的集合,求S—多项式,约简等运算,将一组多项式方程化简为一个同价的三角化方程组,得到了封闭形式的解析解,并给出了具体数值实例。

Symbolic solutions for the displacement analysis of planar two-DOF （degree of freedom） seven-bar and slider linkages are proposed based on Groebner Method and computer symbolic manipulating technique. A set of nonlinear polynomial equations are transformed into a set of equivalent triangularization equations by using the following operations： ordering of variables, forming all pairs of polynomials, finding S-polynomial, reduction etc. The analytical solutions in the closed form are obtained, and a practical example is provided in this paper.