单面非Chetaev型非完整系统的Lie对称性与守恒量  

Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints

作　　者：李元成[1] 梁景辉[1] 张毅[1] 梅凤翔[1] 

机构地区：[1]北京理工大学应用力学系,北京100081

出　　处：《北京理工大学学报》2000年第2期150-154,共5页Transactions of Beijing Institute of Technology

基　　金：高等学校博士学科点专项科研基金

摘　　要：利用微分方程在无限小变换下的不变性建立Lie对称性所满足的确定方程．研究单面非Chetaev型非完整系统的Lie对称性与守恒量．给出结构方程和守恒量，讨论系统的Lie对称性逆问题．To study the Lie symmetries and conserved quantities of nonholonomic systems of non-Chetaev's type with unilateral constraints, the invariance of the ordinary differential equations under the infinitesimal transformations was used to establish the determining equations. The structure equation and conserved equations were obtained and the inverse problem of Lie symmetries was discussed

关 键 词：分析力学 单面约束 非完整系统 守恒量 李对称性 

分 类 号：O316[理学—一般力学与力学基础]