离散系统动力学的位移变分原理  

The variational principle of displacement in dynamics of discrete systems

作　　者：李东平[1] 曾庆元[1] 

机构地区：[1]中南大学土木建筑学院,湖南长沙410075

出　　处：《铁道科学与工程学报》2007年第1期68-71,共4页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(50078006);高等学校博士点科研基金资助项目(20010533004);铁道部科技研究开发计划项目(2001G0292003G043)

摘　　要：通过对位移、功、势能和虚位移、虚功等概念的阐述,用变积运算定义了瞬时势能,然后用变积法从达朗贝尔-拉格朗日原理导出位移变分原理。该原理是势能驻值定理在动力学中的发展,也是达朗贝尔-拉格朗日原理的延伸,使动力学问题得到简化。The displacement, work, potential energy, virtual displacement and virtual work were discussed. The instantaneous potential energy was defined through the operation of variational integrals. Then, the variational principle of displacement was derived from d＇ Alembert- Lagrange principle using the variational integral method. This principle is the development of principle of stationary of potential energy in dynamics, and is also the extension of d＇ Alembert - Lagrange principle. It simplifies problems of dynamics, and has general application.

关 键 词：动力学 变积法 瞬时势能 位移变分原理 

分 类 号：O313.2[理学—一般力学与力学基础]