Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量  

Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

作　　者：王肖肖[1] 张美玲[1] 韩月林[1] 贾利群[1] 

机构地区：[1]江南大学理学院,无锡214122

出　　处：《物理学报》2012年第20期18-23,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11142014;61178032)资助的课题~~

摘　　要：研究Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量.对Chetaev型非完整约束相对运动力学系统Nielsen方程的运动微分方程、Mei对称性定义和判据进行具体的研究,得到了Mei对称性直接导致的Mei守恒量的表达式.最后举例说明结果的应用.Mei symmetry and Mei conserved quantity of Nielsen equations in a dynamical system of the relative motion with nonholonomic constraint of Chetaev＇s type are studied. The differential equations of motion of Nielsen equation for the system, the definition and criterion of Mei symmetry, and the expression of Mei conserved quantity deduced directly from Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

关 键 词：Chetaev型非完整约束 相对运动动力学 NIELSEN方程 MEI守恒量 

分 类 号：O316[理学—一般力学与力学基础]