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Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量

王肖肖 张美玲 韩月林 贾利群

物理学报2012,Vol.61Issue(20):18-23,6.
物理学报2012,Vol.61Issue(20):18-23,6.

Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量

Mei symmetry and Mei conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type

王肖肖 1张美玲 1韩月林 1贾利群1

作者信息

  • 1. 江南大学理学院,无锡214122
  • 折叠

摘要

Abstract

Mei symmetry and Mei conserved quantity of Nielsen equations in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type are studied. The differential equations of motion of Nielsen equation for the system, the definition and criterion of Mei symmetry, and the expression of Mei conserved quantity deduced directly from Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

关键词

Chetaev型非完整约束/相对运动动力学/Nielsen方程/Mei守恒量

Key words

nonholonomic constraint of Chetaev's type/dynamics of the relative motion/Nielsen equation/Meiconserved quantity

分类

数理科学

引用本文复制引用

王肖肖,张美玲,韩月林,贾利群..Chetaev型非完整约束相对运动动力学系统Nielsen方程的Mei对称性和Mei守恒量[J].物理学报,2012,61(20):18-23,6.

基金项目

国家自然科学基金,(批准号:11142014,61178032)资助的课题. (批准号:11142014,61178032)

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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