变质量单面非完整系统的Noether定理  

Noether's Theorem of Nonholonomic Systems having Variable Mass and Unilsteral Constraints

作　　者：梁景辉[1] 乔磊[1] 贾石海[1] 雷惠方[1] 

机构地区：[1]山西师范大学物理与信息工程学院,山西临汾041004

出　　处：《山西师范大学学报（自然科学版）》2010年第4期68-71,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：山西省自然科学基金资助项目(20031008)

摘　　要：本文研究了变质量单面非完整系统的Noether定理及逆定理.首先给出系统的d'Alember-Lagrange原理及非等时变分;其次基于微分变分原理在无限小变换下的不变性质,得到变质量单面非完整系统的Noether定理及逆定理;最后举例说明结果的应用.Principle of d＇ Alembert-Lagrange for a system having variable mass and non-isochronal variation is first presented.Noether＇s theorem and her inverse theorem for the above system having variable mass are then studied based upon the invariance of the differential variational principle under infinitesimal transformations.An example to illustrate the application of the result is finally given.

关 键 词：分析力学 单面约束 非完整系统 变质量 NOETHER定理 Noether逆定理 

分 类 号：O316[理学—一般力学与力学基础]