准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量  

Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates

作　　者：杨新芳[1] 贾利群[1] 张耀宇[2] 崔金超[3] 解银丽[1] 

机构地区：[1]江南大学理学院,江苏无锡214122 [2]平顶山学院电气信息工程学院,河南平顶山467002 [3]北京理工大学宇航学院,北京100081

出　　处：《云南大学学报（自然科学版）》2010年第3期304-307,共4页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10572021);江南大学预研基金资助项目(2008LYY011)

摘　　要：研究准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量.给出一般完整系统Nielsen方程的Mei对称性的定义和判据,讨论一般完整系统Nielsen方程Mei对称性直接导致的Mei守恒量的条件及Mei守恒量的形式,并举例说明结果的应用.Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates was discussed.The definition and the criterion of Mei symmetry of a Nielsen equation for a holonomic mechanical system in terms of quasi-coordinates are given,and the condition and the form of the Mei conserved quantity deduced directly from the Mei symmetry of the Nielsen equation for a holonomic mechanical system are discussed.Finally,an example is given to illustrate the application of the results.

关 键 词：准坐标 NIELSEN方程 MEI对称性 MEI守恒量 

分 类 号：O316[理学—一般力学与力学基础]