APPLICATION OF WU ELIMINATION METHOD TO CONSTRAINED DYNAMICS  

作　　者：贾屹峰 陈玉福 许志强 

机构地区：[1]Department of Mathematics,Graduate University of Chinese Academy of Sciences,Beijing 100049, P.R.China [2]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第10期1399-1408,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10401021)the Scientific Research Foundation of Graduate University of Chinese Academy of Sciences

摘　　要：The polynomial type Lagrange equation and Hamilton equation of finite dimensional constrained dynamics were considered. A new algorithm was presented for solving constraints based on Wu elimination method. The new algorithm does not need to calculate the rank of Hessian matrix and determine the linear dependence of equations, so the steps of calculation decrease greatly. In addition, the expanding of expression occurring in the computing process is smaller. Using the symbolic computation software platform, the new algorithm can be executed in computers.The polynomial type Lagrange equation and Hamilton equation of finite dimensional constrained dynamics were considered. A new algorithm was presented for solving constraints based on Wu elimination method. The new algorithm does not need to calculate the rank of Hessian matrix and determine the linear dependence of equations, so the steps of calculation decrease greatly. In addition, the expanding of expression occurring in the computing process is smaller. Using the symbolic computation software platform, the new algorithm can be executed in computers.

关 键 词：Hamilton system constrained dynamics characteristic chain Hessian matrix 

分 类 号：O313.2[理学—一般力学与力学基础]