非Chetaev型非完整系统的非Noether守恒量  

Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type

作　　者：乔永芬[1] 马永胜[1] 赵淑红[1] 

机构地区：[1]东北农业大学工程学院

出　　处：《信阳师范学院学报（自然科学版）》2004年第2期162-165,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金资助项目(9507)

摘　　要：利用时间不变的无限小变换下的Lie对称性,研究非Chetaev型非完整系统的非Noether守恒量.给出系统的运动微分方程.研究时间不变的无限小变换下的Lie对称性的确定方程,建立系统的Hojman守恒定理,举例说明结果的应用.Using the Lie symmetry under infinitesimal transformations in which the time is not variable,the Non-Noether conserved quantity for nonholonomic mechanical system of non-Chetaev's type is studied.The differential equations of motion of the system and the determining equations of Lie symmetry under infinitesimal transformations are given.The Hojman's conservation theorems of the system are established.Finally,we give an example to illustrate the application of the result.

关 键 词：非完整系统 LIE对称性 确定方程 非NOETHER守恒量 

分 类 号：O316[理学—一般力学与力学基础]