Mei's symmetry theorem for time scales nonshifted mechanical systems

• 作 者: Yi Zhang
• 机 构: College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China
• 出 处: 力学快报（英文版）
• 发表日期: 2021年5期
• 关键词: Mei's symmetry theorem Nonholonomic system Nonconservative system Time scal

We focus on Mei symmetry for time scales nonshifted mechanical systems within Lagrangian frame- work 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 crite- rions are deduced. Finally, Mei\'s symmetry theorems for time scales nonshifted holonomic conservative systems, time scales nonshifted holonomic nonconservative systems and time scales nonshifted nonholo- nomic systems are established and proved, and new conserved quantities of above systems are obtained. Results are illustrated with two examples.