摘要
用张量分析方法，研究高阶非完整约束的力学系统。提出ｍ阶切空间Ｅ３Ｎ（ｍ）的准Ｒｉｅｍａｎｎ流形的新概念，建立相应的高阶广义普遍中心方程，并由此导出准Ｒｉｅｍａｎｎ流形上的高阶Ｂｏｌｔｚｍａｎｎ－Ｈａｍｅｌ方程，举例说明方程的应用。
in this paper, the method of Tensor Analysis is used to discuss the high - order nonholonomic system. A new concept, defined as the Quasi - Riemann Manifold in the m order tangent space E is put forward. Based on the concept, the high - order generalized general center equations are set up, and thus the high - order Boltzmann - Hamel's equation on the Quasi - Riemann Manifold is deduced. Finally, an example is given to demonstrate the application of the equations.
基金
贵州省科委基金
关键词
非完整系统
广义
黎曼流形
B-H方程
力学系统
nonholonomic system
Riemann manifold
Quasi - Riemann manifold
genera lized Boltzmann - hamel's equation
