机构学中非线性问题的解法述评  

A Review of Methods for Solving Nonlinear Problems in Mechanisms

作　　者：张纪元[1] 

机构地区：[1]上海海运学院工学院,上海200135

出　　处：《上海海运学院学报》2000年第4期8-18,共11页Journal of Shanghai Maritime University

基　　金：国家自然科学基金;交通部重点资助项目

摘　　要：综述了机构学中常见非线性问题的数学模型及其解法 ,着重述评非线性代数方程组解法的分类、求解思路、研究现状、存在问题和发展方向 ,特别推荐基组结式消元法。In this paper, a review of mathematical models and methods for solving nonlinear problems in mechanisms has been made. The paper emphatically summarizes the classification, thinking mode, present status, problems and devolopment of methods for solving nonlinear system of equations, and specially recommends some practical and new methods, such as the elimination by eliminant with aid of basic sets, homotopy method and decomposition method, etc. The review has important theoretical significance and practical value for researches and creative designs of mechanisms.\;

关 键 词：机构学 非线性方程组 多项式 同伦 分解法 解法 

分 类 号：TH112[机械工程—机械设计及理论] O241.7[理学—计算数学]