New Type of Conserved Quantities of Lie Symmetry for Nonholonomic Mechanical Systems in Phase Space

作     者：PANG Ting FANG Jian-Hui LIN Peng ZHANG Ming-Jiang LU Kai 

作者机构：College of Physics Science and Technology China University of Petroleum Dongying 257061 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2009年第52卷第12期

页      面：977-980页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Supported by the Graduate Students' Innovative Foundation of China University of Petroleum (East China) under Grant No.S2009-19 

主　　题：Lie symmetry conserved quantity nonholonomic mechanical system phase space 

摘      要：The new types of conserved quantities, which are directly induced by Lie symmetry of nonholonomie mechanical systems in phase space, are studied. Firstly, the criterion of the weak Lie symmetry and the strong Lie symmetry are given. Secondly, the conditions of existence of the new type of conserved quantities induced by the weak Lie symmetry and the strong Lie symmetry directly are obtained, and their form is presented. Finaily, an Appell-Hamel example is discussed to further illustrate the applications of the results.