| 变质量单面非Chetaev型非完整系统的Lie对称性和Mei守恒量 |
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| 引用本文： | 荆宏星,李元成. 变质量单面非Chetaev型非完整系统的Lie对称性和Mei守恒量[J]. 苏州科技学院学报(自然科学版), 2007, 24(4): 23-28 |
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| 作者姓名： | 荆宏星 李元成 |
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| 作者单位： | 中国石油大学(华东)物理科学与技术学院,山东,东营,257061 |
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| 摘 要： | 研究了变质量单面非Chetaev型非完整系统的Lie对称性和Mei守恒量。给出了系统Lie对称性的定义：研究了系统Lie对称性为Mei对称性的充分必要条件；得到了系统Lie对称性间接导致的Mei守恒量。最后举例说明了结果的应用。
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| 关 键 词： | 变质量 单面非完整约束 Lie对称性 Mei对称性 Mei守恒量 |
| 文章编号： | 1672-0687（2007）04-0023-06 |
| 收稿时间： | 2007-07-18 |
| 修稿时间： | 2007-07-18 |
Lie Symmetry and Mei Conserved Quantity for Variable Mass Systems with Unilateral Non-Chetaev Non-Holonomic Constraints |
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| JING Hong-xing,LI Yuan-cheng. Lie Symmetry and Mei Conserved Quantity for Variable Mass Systems with Unilateral Non-Chetaev Non-Holonomic Constraints[J]. Journal of University of Science and Technology of Suzhou, 2007, 24(4): 23-28 |
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| Authors: | JING Hong-xing LI Yuan-cheng |
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| Abstract: | This paper studies Lie symmetry which leads to a Mei conserved quantity for variable mass systems with unilateral non-Chetaev nonholonomic constraints. Lie symmetry for the system is defined. The necessary and sufficient condition under which the Lie symmetry is a Mei symmetry for the system is presented. A Mei conserved quantity indirectly deduced from the Lie symmetry for the system is obtained. An example is given to illustrate the application of results. |
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| Keywords: | variable mass unilateral non-holonomic quantity constraints Lie symmetry Mei symmetry Mei conserved |
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