| 非Chetaev型非完整系统的Lagrange对称性与守恒量 |
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| 引用本文： | 张毅,葛伟宽. 非Chetaev型非完整系统的Lagrange对称性与守恒量[J]. 物理学报, 2009, 58(11): 7447-7451 |
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| 作者姓名： | 张毅 葛伟宽 |
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| 作者单位： | (1)湖州师范学院物理系,湖州 313000; (2)苏州科技学院土木工程学院，苏州 215011 |
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| 基金项目： | 江苏省高校自然科学基金(批准号：08KJB130002)资助的课题. |
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| 摘 要： | 研究非Chetaev型非完整非保守力学系统的Lagrange对称性.给出了系统的Lagrange对称性的定义和判据，得到了非Chetaev型非完整非保守力学系统的Lagrange对称性导致守恒量（第一积分)的条件及其形式.举例说明结果的应用.关键词：非Chetaev型非完整约束Lagrange对称性守恒量
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| 关 键 词： | 非Chetaev型非完整约束 Lagrange对称性 守恒量 |
| 收稿时间： | 2009-02-03 |
| 修稿时间： | 2009-03-06 |
Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev's type |
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| Zhang Yi and Ge Wei-Kuan. Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev's type[J]. Acta Physica Sinica, 2009, 58(11): 7447-7451 |
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| Authors: | Zhang Yi and Ge Wei-Kuan |
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| Abstract: | This paper "focuses on Lagrange symmetries and conserved quantities for nonconservative mechanical systems with nonholonomic constraints of non-Chetaev's type. The definition and criterion of Lagrange symmetry of the systems are given. The conditions under which a Lagrange symmetry can lead to a new conserved quantity(first integral)are obtained and the form of the new conserved quantity(first integral)is presented. Two examples are given to illustrate the application of the results. |
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| Keywords: | nonholonomie system of non-Chetaev's type Lagrange symmetry conserved quantity |
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