Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint  

作　　者：王肖肖 孙现亭 张美玲 解银丽 贾利群 

机构地区：[1]School of Science,Jiangnan University [2]School of Electric and Information Engineering,Pingdingshan University

出　　处：《Chinese Physics B》2011年第12期259-263,共5页中国物理B（英文版）

摘　　要：The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Lie symmetry, and the expression of the Hojman conserved quantity deduced directly from the Lie symmetry for the system are obtained. An example is given to illustrate the application of the results.The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Lie symmetry, and the expression of the Hojman conserved quantity deduced directly from the Lie symmetry for the system are obtained. An example is given to illustrate the application of the results.

关 键 词：nonholonomic constraint of Chetaev＇s type relative motion Nielsen equation Hojman conserved quantity 

分 类 号：O316[理学—一般力学与力学基础] O313[理学—力学]