二阶非完整力学系统的Lie对称性与守恒量  

Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System

作　　者：方建会[1] 

机构地区：[1]石油大学应用物理系,山东东营257061

出　　处：《应用数学和力学》2002年第9期982-986,共5页Applied Mathematics and Mechanics

摘　　要：研究二阶非完整力学系统的Lie对称与守恒量·　首先利用系统运动微分方程在无限小变换下的不变性建立Lie对称的确定方程和限制方程 ,得到Lie对称的结构方程和守恒量 ;其次研究上述问题的逆问题 ;The Lie symmetries and the conserved quantities of the second_order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal transformations, the determining equations and the restriction equations of the Lie symmetries of the system are established, and the structure equation and the conservative quantities of the Lie symmetries are obtained. Secondly, the inverse problems of the Lie symmetries are studied. Finally, an example is given to illustrate the application of the result.

关 键 词：二阶非完整系统 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]