变质量非完整系统的非Noether守恒量  

Non-Noether Symmetrical Conserved Quantity for Nonholonomic Mechanical Systems with Variable Mass

作　　者：赵淑红[1] 乔永芬[1] 马永胜[1] 

机构地区：[1]东北农业大学工程学院,黑龙江哈尔滨150030

出　　处：《江西师范大学学报（自然科学版）》2004年第2期110-113,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金资助项目(批准号:9507).

摘　　要：利用时间不变的无限小变化下的Lie对称性,研究变质量非完整力学系统的一类新的守恒量.给出系统的运动微分方程.研究时间不变的无限小变化下的Lie对称性确定方程.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,we studied a new conserved quantity for the nonholonomic mechanical systems with a variable mass. The differential equations of the systems and the determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman's conservation theorems of the systems are established.Finally, we give an example to illustrate the application of the result.

关 键 词：变质量非完整力学系统 非NOETHER守恒量 LIE对称性 确定方程 Hojman守恒定理 运动微分方程 

分 类 号：O316[理学—一般力学与力学基础] O411[理学—力学]