南京航空航天大学学报2012，Vol.44Issue(2)：262-265,4.
广义经典力学系统动力学方程积分的Jacobi最终乘子法
Method of Jacobi Last Multiplier for Solving Dynamics Equations Integration of Generalized Classical Mechanics System
摘要
Abstract
The integration issues of dynamic system is studied, and the method of Jacobi last multiplier is applied to integrate dynamic equations of generalized classical mechanics systems. The differential equations of motion of a generalized classical mechanics system are given. The Jacobi last multiplier of the system is defined, and the relation between the Jacobi last multiplier and the first integrals of the system is discussed. The research shows that for a generalized classical mechanics system, whose configuration is determined by n generalized coordinates and Lagrangian contains ω-order derivatives of generalized coordinates with respect to time, the solution of the system can be found by the Jacobi last multiplier if (2ωm- 1) first integrals of the system are known. Finally, an example is given to illustrate the application of the results.关键词
动力学与控制/广义经典力学/积分方法/Jacobi最终乘子Key words
dynamics and control/ generalized classical mechanics/ method of integration/ Jacobi last multiplier分类
数理科学引用本文复制引用
张毅..广义经典力学系统动力学方程积分的Jacobi最终乘子法[J].南京航空航天大学学报,2012,44(2):262-265,4.基金项目
国家自然科学基金(10972151)资助项目 （10972151）
