非完整系统Tzénoff方程的Mei对称性所对应的一种新守恒量  

A new conserved quantity by Mei symmetry of Tzénoff equation for the non-holonomic systems

作　　者：郑世旺[1] 陈梅[1] 

机构地区：[1]商丘师范学院物理与信息工程系,河南商丘476000

出　　处：《云南大学学报（自然科学版）》2011年第4期412-416,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10972127)

摘　　要：研究了非完整力学系统Tzénoff方程Mei对称性所对应的一种新守恒量,给出了这种守恒量的函数表达式和导致这种守恒量的判据方程.利用该方法比以往更易找到守恒量,最后举例说明了新结果的应用.A new conserved quantity is investigated by utilizing the definition and discriminant equation of Mei symmetry of Tzenoff equations for nonholonomic systems.In addition,the expression of this conserved quantity,and the determining condition induced new conserved quantity are also presented.The results indicate that this new method is easier to find conserved quantities than methods reported previously.Finally,application of this new result is presented by a practical example.

关 键 词：非完整系统 TZÉNOFF方程 MEI对称性 新守恒量 

分 类 号：O316[理学—一般力学与力学基础]