一类广义力学系统的能量方程  

ENERGY EQUATION OF GENERALIZED MECHANICAL SYSTEM

作　　者：韩广才 张耀良[1] 

机构地区：[1]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2001年第4期69-71,0,共3页Journal of Harbin Engineering University

摘　　要：分析力学中低维力学系统的能量方程因其具有明晰的物理意义而得到了广泛的应用 .对于高维力学系统应有相应的能量方程 .本文运用广义经典力学中关于广义拉格朗日函数、广义动量和广义哈密顿函数等新概念 ,推导出高维力学系统的能量方程 ,并举例说明了新方程的应用 ,为力学数系统能量方程的推广提供了一种途径 .The energy equation of low dimension mechanics system in analytic mechanics has clear physical meanings and is therefore used widely.High dimension mechanics should of course have a new energy equation.The new concept of generalized Lagrange function and generalized momentum and generalized Hamilton function in generalized classical mechanics is used to establish the energy equation of high dimensions and an example was given to show the application of the new equation.

关 键 词：广义力学系统 正则方程 能量方程 分析力学 广义拉格朗日函数 广义动量 

分 类 号：O316[理学—一般力学与力学基础]