| Chetaev型非完整约束系统的Lie对称性逆问题 |
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| 引用本文： | 邹杰涛,吴润衡.Chetaev型非完整约束系统的Lie对称性逆问题[J].苏州科技学院学报(工程技术版),2000,13(4):49-52. |
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| 作者姓名： | 邹杰涛 吴润衡 |
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| 作者单位： | 北方工业大学基础学院北京100041 |
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| 基金项目： | 北京市青年科技骨干培养基金,北方工业大学科研基金 |
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| 摘 要： | 研究非完整系统的Lie对称性逆问题根据已知积分求相应的Lie对称性.首先,由已知积分求出相应的Noether对称性;其次,由Noether对称性通过验证确定方程和限制方程来求得Lie对称性.具体研究了受Chetaev型非完整约束系统的Lie对称性逆问题.
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| 关 键 词： | 分析力学 非完整系统 Lie对称性 守恒量 |
| 文章编号： | 1004-8022(2000)04-0049-04 |
| 修稿时间： | 2000年6月9日 |
The Inverse Problem of Lie Symmetries of the Nonholonomic Mechanical Systems of Chetaev Type |
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| ZOU Jie-tao,WU Run-heng.The Inverse Problem of Lie Symmetries of the Nonholonomic Mechanical Systems of Chetaev Type[J].Journal of University of Science and Technology of Suzhou：Engineering and Technology,2000,13(4):49-52. |
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| Authors: | ZOU Jie-tao WU Run-heng |
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| Abstract: | This paper discusses the inverse problem of lie symmetries of the nonholonomic mechanical systems and finds out the corresponding Lie symmetry on the basis of a known conserved quantity. First, Noether symmetry corresponding to the given conserved quantity needs to be found by Noether theory; second, the symmetry will be examined to see whether it is Lie symmetry or not in light of the determining equations and restriction equations. Furthermore, the nonholonomic mechanical systems with Chetaev's type constraints are studied. |
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| Keywords: | analytical mechanics nonholonomic system Lie symmetry conservation law |
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