弱非完整系统Mei对称性导致的新型精确和近似守恒量  

A type of the new exact and approximate conserved quantity deduced from Mei symmetry for a weakly nonholonomic system

作　　者：韩月林[1] 王肖肖[1] 张美玲[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》2013年第11期8-13,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11142014);江苏省普通高校研究生科研创新计划项目(批准号:CXLX120720)资助的课题~~

摘　　要：研究弱非完整系统Lagrange方程的Mei对称性导致的一种结构方程和新型精确以及近似守恒量.首先建立系统的Lagrange方程.其次在群的无限小变换下,给出了弱非完整系统及其一次近似系统Mei对称性的定义和判据,然后得到了Mei对称性导致的新型结构方程、新型精确和近似守恒量的表达式.最后,举例研究系统的精确新型守恒量和近似新型守恒量问题.A type of structural equation, new exact and approximate conserved quantity which are deduced from Mei symmetry of Lagrange equations for a weakly nonholonomic system, are investigated. First, Lagrange equations of weakly nonholonomic system are estab- lished. Next, under the infinitesimal transformations of Lie groups, the definition and the criterion of Mei symmetry for Lagrange equations in weakly nonholonomic systems and its first-degree approximate holonomic system are given. And then, the expressions of new structural equation and new exact and approximate conserved quantities of Mei symmetry for Lagrange equations in weakly nonholonomic systems are obtained. FineUy, an example is given to study the question of the exact and the approximate new conserved quantities.

关 键 词：弱非完整系统 MEI对称性 新型结构方程 新型守恒量 

分 类 号：O316[理学—一般力学与力学基础]