| 具有单面非完整约束的力学系统的Lie对称性与守恒量 |
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| 引用本文： | 张毅,梅凤翔.具有单面非完整约束的力学系统的Lie对称性与守恒量[J].数学物理学报(A辑),2000,20(1):95-100. |
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| 作者姓名： | 张毅 梅凤翔 |
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| 作者单位： | [1]苏州城建环保学院基础部 [2]北京理工大学应用力学系 |
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| 基金项目： | 国家自然科学基金和高校博士点基金资助课题 |
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| 摘 要： | 研究具有单面非完整约束的力学系统的Ｌｉｅ对称性。给出由Ｌｉｅ对称性得到系统守恒量的条件和守恒量的形式，并研究上述问题的逆问题，即根据系统的已知积分来求相应的Ｌｉｅ对称性，最后举例说明结果的应用。
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| 关 键 词： | 分析力学 非完整约束 Lie对称性 守恒量 逆问题 |
Lie Symmetries and Conserved Quantities of Nonholonomic Mechanical Systems with Unilateral Constraints |
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| Zhang Yi,Mei Fengxiang.Lie Symmetries and Conserved Quantities of Nonholonomic Mechanical Systems with Unilateral Constraints[J].Acta Mathematica Scientia,2000,20(1):95-100. |
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| Authors: | Zhang Yi Mei Fengxiang |
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| Abstract: | This paper studies the Lie symmetries of
nonholonomic mechanical systems with unilateral constraints. It gives the conditions and
the form of conserved quantities due to the Lie symmetries of the systems, and presents
the inverse problem of the above problem, i.e., finding the corresponding Lie symmetry
transformation according to a given integral of the systems. Finally, it gives an example
to illustrate the application of the results. |
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| Keywords: | Analytical mechanics Unilateral constraint Nonholonomic constraint Lie symmetry Conserved quantity inverse problem |
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