| Symmetry of Lagrangians of nonholonomic systems of non-Chetaev’s type |
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| 引用本文： | 吴惠彬,梅凤翔.Symmetry of Lagrangians of nonholonomic systems of non-Chetaev’s type[J].中国物理 B,2010,19(3):30303-030303. |
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| 作者姓名： | 吴惠彬 梅凤翔 |
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| 作者单位： | Faculty of Science, 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
Nos.~10932002 and 10772025), and the Fund for Fundamental Research
of Beijing Institute of Technology. |
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| 摘 要： | This paper studies the symmetry of Lagrangians of
nonholonomic systems of non-Chetaev's type. First, the definition
and the criterion of the symmetry of the system are given. Secondly,
it obtains the condition under which there exists a conserved
quantity and the form of the conserved quantity. Finally, an example
is shown to illustrate the application of the result.
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| 关 键 词： | nonholonomic system non-Chetaev’s type constraint symmetry of Lagrangians conserved quantity |
| 收稿时间： | 2009-04-17 |
| 修稿时间： | 5/9/2009 12:00:00 AM |
Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type |
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| Wu Hui-Bin and Mei Feng-Xiang.Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type[J].Chinese Physics B,2010,19(3):30303-030303. |
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| Authors: | Wu Hui-Bin and Mei Feng-Xiang |
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| Institution: | Faculty of Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | This paper studies the symmetry of Lagrangians of
nonholonomic systems of non-Chetaev's type. First, the definition
and the criterion of the symmetry of the system are given. Secondly,
it obtains the condition under which there exists a conserved
quantity and the form of the conserved quantity. Finally, an example
is shown to illustrate the application of the result. |
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| Keywords: | nonholonomic system non-Chetaev's type constraint symmetry of Lagrangians conserved quantity |
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