Generalized Lutzky Conserved Quantities of Holonomic Systems with Remainder Coordinates Subjected to Unilateral Constraints  

作　　者：ZHANG Yi 

机构地区：[1]Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China

出　　处：《Communications in Theoretical Physics》2006年第4期732-736,共5页理论物理通讯（英文版）

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 10272021 and the Natural Science Foundation of High Education Department of Jiangsu Province under Grant No. 04KJA130135

摘　　要：This paper focuses on studying the relation between a velocity-dependent symmetry and a generalized Lutzky conserved quantity for a holonomic system with remainder coordinates subjected to unilateral constraints. The differential equations of motion of the system are established, and the definition of Lie symmetry for the system is given. The conditions under which a Lie symmetry can directly lead up to a generalized Lutzky conserved quantity and the form of the new conserved quantity are obtained, and an example is given to illustrate the application of the results.

关 键 词：analytical mechanics remainder coordinate unilateral constraint holonomic system SYMMETRY conserved quantity 

分 类 号：O316[理学—一般力学与力学基础]