Poincare动力学方程Whittaker降阶法  

Whittaker's Reduction Method for Poincare's Dynamical Equations

作　　者：Q.K.戈里 

机构地区：[1]沙特阿拉伯KingFahd石油矿业大学数学系

出　　处：《应用数学和力学》1994年第7期639-645,共7页Applied Mathematics and Mechanics

摘　　要：Ｗｈｉｔｔａｋｅｒ降阶法是利用能量积分将一个完整动力系统的Ｌａｇｒａｎｇｅ运动方程降阶。本文论述了据李群理论构造的Ｐｏｉｎｃａｒｅ方程所描述的非完整保守系统的相应结果。Whittaker's reduction method invokes the energy integral to reduce the order of Lagrange’s equations of motion of a holonomic dynamical system. This paper treats the corresponding result for a nonholonomic conservative system described by Poincare's equations which are constructed from the standpoint of the theory of Lie groups.

关 键 词：非完整系统 庞加莱方程 W降阶法 

分 类 号：O316[理学—一般力学与力学基础]