Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian System with Unilateral Constraints

作     者：ZHANG Yi 

作者机构：Department of Civil Engineering University of Science and Technology of Suzhou Suzhou 215011 China 

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

年 卷 期：2006年第45卷第2期

页      面：239-244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）] 

基　　金：The project supported by the Natural Science Foundation of High Education of Jiangsu Province of China under Grant No. 04KJA130135 and the "Qing Lan" Project Foundation of Jiangsu Province of China 

主　　题：analytical mechanics unilateral constraint Birkhoffian system symmetry conservation law 

摘      要：The symmetries and non-Noether conservation laws of Birkhoffian system with unilateral constraints are studied. The differential equations of motion of the system are established, and the criterions of Noether symmetry, Lie symmetry and Mei symmetry of the system are given. Two types of new conservation laws, called the Hojman conservation law and the Mei conservation law respectively, are obtained, and the intrinsic relations among the symmetries and the new conservation laws are researched. At the end of the paper, an example is given to illustrate the application of the results.