数学机械化方法在平面多杆复杂机构位置分析中的应用  

Application of Wu Elimination Method to Displacement Analysis of Planar Multi Link Complex Mechanisms

作　　者：林光春[1] 徐礼 

机构地区：[1]四川联合大学

出　　处：《机械设计与研究》1998年第2期33-34,共2页Machine Design And Research

摘　　要：本文基于数学机械化方法和计算机符号处理技术，对平面多杆复杂机构的位置分析进行了符号法求解，该法成功地将一组非线性多项式方程化简为一组等价的三角化方程，导出了单变量的１６次代数方程，得到了位移分析的封闭形式的解析解。符号推导和符号运算借助于计算机代数系统ＲＥＤＵＣＥ完成，并给出一个数字实例说明这种方法。The solutions to displacement analysis of planar multi link complex linkages are proposed based on Wu Elimination and computer symbolic manipulating techniques in this paper.A set of nonlinear polynomial equations are transformed into a set of equivalent triangularization equations successfully.The sixteen order algebraic equation with single variable is derived for the closed form solutions of displacement analysis.Symbolic derivation and symbolic computation are implemented by using computer algebraic system REDUCE.A numerical example is given to illustrate the method.

关 键 词：平面复杂机构 位置分析 数学模型化 多杆机构 

分 类 号：TH112[机械工程—机械设计及理论]