Integrating Factors and Conservation Laws for Mechanical Systems with Non-Chetaev Nonholonomic Unilateral Constraints

SHU Fangping; ZHU Jianqing; ZHANG Yi

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Integrating Factors and Conservation Laws for Mechanical Systems with Non-Chetaev Nonholonomic Unilateral Constraints

更新时间：2023-12-11

- Integrating Factors and Conservation Laws for Mechanical Systems with Non-Chetaev Nonholonomic Unilateral Constraints
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 2, Pages: 51-54(2015)
- 作者机构：
  
  1. 苏州科技学院数理学院,江苏,苏州,215009
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 March 2015，
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SHU Fangping, ZHU Jianqing, ZHANG Yi. Integrating Factors and Conservation Laws for Mechanical Systems with Non-Chetaev Nonholonomic Unilateral Constraints. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(2):51-54(2015)
DOI：

SHU Fangping, ZHU Jianqing, ZHANG Yi. Integrating Factors and Conservation Laws for Mechanical Systems with Non-Chetaev Nonholonomic Unilateral Constraints. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(2):51-54(2015) DOI：

摘要

为了进一步研究非完整系统的守恒律，将积分因子方法应用于具有单面约束的非Chetaev型非完整系统

建立了寻找具有单面约束的非Chetaev型非完整系统的守恒律的一种新方法。首先寻求非完整系统存在守恒律的必要条件；其次建立系统积分因子与守恒律的关系，给出用于确定积分因子的广义Killing方程；最后得到单面非Chetaev型非完整系统的守恒律，并举例说明结果的应用。结果表明利用积分因子方法可以研究单面非Chetaev型非完整系统的守恒律。

Abstract

In order to further study the conservation laws of nonholonomic mechanical systems

the method of integrating factors is applied to mechanical systems with non-Chetaev nonholonomic unilateral constraints

which establishes a new method to find the conservation laws of mechanical systems with non-Chetaev nonholonomic unilateral constraints. Firstly

the necessary conditions for the existence of the conservation laws of nonholonomic mechanical systems are studied. Secondly

the relation between the conservation laws and the integrating factors is established

then the generalized Killing equations which are used to determine the integrating factors can be presented. Finally

the conservation laws of non-Chetaev nonholonomic mechanical systems with unilateral constraints can be found. Also

an example is given to illustrate the application of the results. The results show that the method of integrating factors can be used to study the conservation laws of mechanical systems with nonChetaev nonholonomic unilateral constraints.

关键词

非完整系统单面约束积分因子守恒律

Keywords

nonholonomic mechanical systemunilateral constraintsintegrating factorconservation law

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School of Mathematics and Statistics, Central South University

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