Two New Types of Conserved Quantities Deduced from Noether Symmetry for Nonholonomic Mechanical System

作     者：ZHANG Xiao-Ni FANG Jian-Hui PANG Ting LIN Peng 

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51卷第2期

页      面：205-208页

核心收录：

学科分类：08[工学] 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）] 

主　　题：Noether symmetry conserved quantity nonholonomic mechanical system 

摘      要：For a nonholonomic mechanical system, the generalized Mei conserved quantity and the new generalized Hojman conserved quantity deduced from Noether symmetry of the system are studied. The criterion equation of the Noether symmetry for the system is got. The conditions under which the Noether symmetry can lead to the two new conserved quantities are presented and the forms of the conserved quantities are obtained. Finally, an example is given to illustrate the application of the results.