变质量非完整可控力学系统的形式不变性与Lie对称性  

Form Invariance of Vriable Mass Nonholonomic Controllable Mechanical System

作　　者：夏丽莉[1] 后其宝[1] 王静[1] 李元成[1] 

机构地区：[1]中国石油大学物理科学与技术学院,山东东营257061

出　　处：《青岛大学学报（自然科学版）》2006年第1期51-55,共5页Journal of Qingdao University(Natural Science Edition)

摘　　要：研究了变质量非完整可控力学系统的形式不变性与Lie对称性。给出变质量非完整可控力学系统在无限小变换下形式不变性和Lie对称性的定义、判据及存在守恒量的定理,得到形式不变性与Lie对称性的关系。The form invariance and Lie symmetry of variable mass nonholonomic controllable mechanical system are studied. Equations of motion and criterions of the form invariance and Lie symmetry are established. The condition of systemic controllable equation keeping form invariance and Lie symmetry and the form of the conserved quantity are obtained. An example is given to illustrate the application of the result.

关 键 词：变质量 非完整系统 可控力学系统 形式不变性 LIE对称性 

分 类 号：O316[理学—一般力学与力学基础]