摘要
本文基于数学机械化方法和计算机符号处理技术,对平面三环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24 次代数方程,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 symbolic solutions to position analysis problem of planar complicated linkages with three loops are proposed based on wu Elimination and computer symboic manipulating techniques in this paper.A set of nonlinear polynomial equations are transfomed successfully into a set of equivalent triangularization equations,and the 24 order algebraic equation with single variable is derived.Symbolic derivation and symbolic computation are implemented by using computer algebraic system REDUCE.
关键词
平面复杂机构
位置分析
数学机械化方法
符号法
planar complex lmmkages
position analysis
wu wlimination
symboic manipulating technmques