具有非Chetaev型非完整约束的机电系统的统一对称性  

Unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev's type

作　　者：李元成[1] 夏丽莉[2] 王小明[1] 

机构地区：[1]中国石油大学(华东)物理科学与技术学院,东营257061 [2]河南教育学院物理系,郑州450014

出　　处：《物理学报》2009年第10期6732-6736,共5页Acta Physica Sinica

摘　　要：研究具有非Chetaev型非完整约束的机电系统的统一对称性.由系统的Lagrange-Maxwell方程,给出系统的统一对称性的定义和判据,得到了系统的统一对称性导出的Noether守恒量、Hojman守恒量和Mei守恒量.举例说明结果的应用.The unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev s type are studied,and the definition and the criterion of unified symmetry of mechanico-electrical systems are deduced from the Lagrange-Maxwell equations.The Noether conserved quantity,the Hojman conserved quantity and a new conserved quantity deduced from the unified symmetry are obtained.An example is given to illustrate the application of the results.

关 键 词：非Chetaev型约束系统 机电系统 统一对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础] TP271.4[理学—力学]