| Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev’s type with variable mass |
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| 引用本文： | 杨新芳,贾利群,崔金超,罗绍凯. Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev’s type with variable mass[J]. 中国物理 B, 2010, 19(3): 30305-030305. DOI: 10.1088/1674-1056/19/3/030305 |
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| 作者姓名： | 杨新芳 贾利群 崔金超 罗绍凯 |
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| 作者单位： | (1)Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; (2)School of Science, Jiangnan University, Wuxi 214122, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No. 10572021) and thePreparatory Research Foundation of Jiangnan University, China (GrantNo. 2008LYY011). |
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| 摘 要： | Mei symmetry and Mei conserved quantity of Nielsenequations for a non-holonomic, non-conservative system of Chetaev'stype with variable mass are studied. The differential equations ofmotion of the Nielsen equation for the system, the definition andcriterion of Mei symmetry, and the condition and the form of Meiconserved quantity deduced directly by Mei symmetry for the systemare obtained. An example is given to illustrate the application ofthe results.
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| 关 键 词： | variable mass Nielsen equation Mei symmetry Mei conserved quantity |
| 收稿时间： | 2009-07-12 |
Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass |
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| Yang Xin-Fang,Jia Li-Qun,Cui Jin-Chao and Luo Shao-Kai. Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass[J]. Chinese Physics B, 2010, 19(3): 30305-030305. DOI: 10.1088/1674-1056/19/3/030305 |
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| Authors: | Yang Xin-Fang Jia Li-Qun Cui Jin-Chao Luo Shao-Kai |
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| Affiliation: | School of Science, Jiangnan University, Wuxi 214122, China; Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | Mei symmetry and Mei conserved quantity of Nielsenequations for a non-holonomic, non-conservative system of Chetaev'stype with variable mass are studied. The differential equations ofmotion of the Nielsen equation for the system, the definition andcriterion of Mei symmetry, and the condition and the form of Meiconserved quantity deduced directly by Mei symmetry for the systemare obtained. An example is given to illustrate the application ofthe results. |
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| Keywords: | variable mass Nielsen equation Mei symmetry Meiconservedquantity |
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