Mei’s symmetry theorem for time scales nonshifted mechanical systems  

作　　者：Yi Zhang 

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

出　　处：《Theoretical & Applied Mechanics Letters》2021年第5期246-251,共6页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grants 11972241 and 11572212);the Natural Science Foundation of Jiangsu Province of China(Grant BK20191454).

摘　　要：We focus on Mei symmetry for time scales nonshifted mechanical systems within Lagrangian framework and its resulting new conserved quantities.Firstly,the dynamic equations of time scales nonshifted holonomic systems and time scales nonshifted nonholonomic systems are derived from the generalized Hamilton’s principle.Secondly,the definitions of Mei symmetry on time scales are given and its criterions are deduced.Finally,Mei’s symmetry theorems for time scales nonshifted holonomic conservative systems,time scales nonshifted holonomic nonconservative systems and time scales nonshifted nonholonomic systems are established and proved,and new conserved quantities of above systems are obtained.Results are illustrated with two examples.

关 键 词：Mei’s symmetry theorem Nonholonomic system Nonconservative system Time scales Nonshifted calculus of variation 

分 类 号：O316[理学—一般力学与力学基础]