| Stability of Motion of a Nonholonomic System |
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| 引用本文： | 梅凤翔 解加芳 江铁强. Stability of Motion of a Nonholonomic System[J]. 中国物理快报, 2007, 24(5): 1133-1135 |
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| 作者姓名： | 梅凤翔 解加芳 江铁强 |
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| 作者单位： | Department of Mechanics, Beijing Institute of Technology, Beijing 100081 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10572021, and the Doctoral Programme Foundation of Institute of Higher Education of China under Grant No 20040007022. |
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| 摘 要： | Perturbation differential equations of motion of a general nonholonomic system subjected to the ideal nonholonomic constraints of Chetaev＇s type are established, and the equation of variation of energy is deduced by using the perturbation equations of the system. A criterion of the stability is obtained and an example is given to illustrate the application of the result.
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| 关 键 词： | 非完整系统 运动 稳定性 扰动 |
| 收稿时间： | 2007-02-01 |
| 修稿时间： | 2007-02-01 |
Stability of Motion of a Nonholonomic System |
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| MEI Feng-Xiang,XIE Jia-Fang,GANG Tie-Qiang. Stability of Motion of a Nonholonomic System[J]. Chinese Physics Letters, 2007, 24(5): 1133-1135 |
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| Authors: | MEI Feng-Xiang XIE Jia-Fang GANG Tie-Qiang |
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| Affiliation: | Department of Mechanics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | Perturbation differential equations of motion of a general nonholonomic system subjected to the ideal nonholonomic constraints of Chetaev's type are established, and the equation of variation of energy is deduced by using the perturbation equations of the system. A criterion of the stability is obtained and an example is given to illustrate the application of the result. |
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| Keywords: | 03.20.+i 02.20.Jr 04.20.Jb |
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