| Form invariance and Lie symmetry of equations of non—holonomic systems |
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| 引用本文： | 王树勇,梅凤翔.Form invariance and Lie symmetry of equations of non—holonomic systems[J].中国物理 B,2002,11(1):5-8. |
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| 作者姓名： | 王树勇 梅凤翔 |
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| 作者单位： | Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 19972010). |
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| 摘 要： | In this paper,we study the relation between the form invariance and Lie symmetry of non-holonomic systems.Firstly,we give the definitions and criteria of the form invariance and Lie symmetry in the systems.Next,their relation is deduced.We show that the structure equation and conserved quantity of the form invariance and Lie symmetry of non-holonomic systems have the same form.Finally,we give an example to illustrate the application of the result.
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| 关 键 词： | 非完整力学系统 解析力学 李对称 |
| 收稿时间： | 7/2/2001 12:00:00 AM |
Form invariance and Lie symmetry of equations of non-holonomic systems |
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| Wang Shu-Yong and Mei Feng-Xiang.Form invariance and Lie symmetry of equations of non-holonomic systems[J].Chinese Physics B,2002,11(1):5-8. |
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| Authors: | Wang Shu-Yong and Mei Feng-Xiang |
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| Institution: | Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | In this paper, we study the relation between the form invariance and Lie symmetry of non-holonomic systems. Firstly, we give the definitions and criteria of the form invariance and Lie symmetry in the systems. Next, their relation is deduced. We show that the structure equation and conserved quantity of the form invariance and Lie symmetry of non-holonomic systems have the same form. Finally, we give an example to illustrate the application of the result. |
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| Keywords: | analytical mechanics non-holonomic mechanics form invariance Lie symmetry |
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