| 非完整力学系统Raitzin正则方程的形式不变性 |
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| 引用本文： | 乔永芬,李仁杰,马永胜.非完整力学系统Raitzin正则方程的形式不变性[J].中国物理 B,2005,14(1):12-16. |
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| 作者姓名： | 乔永芬 李仁杰 马永胜 |
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| 作者单位： | Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou,312207, China;Faculty of Science, Laiyang Agricultural College, Laiyang,265200, China Engineering College of Northeast Agricultural University,Harbin,150030, China;Faculty of Science, Laiyang Agricultural College, Laiyang,265200, China;Engineering College of Northeast Agricultural University,Harbin,150030, China |
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| 基金项目： | Project supported by the Heilongjiang Natural Science Foundation, China (Grant No 9507) |
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| 摘 要： | 研究非完整力学系统Raitzin正则方程的形式不变性。建立系统的Raitzin正则方程。给出在无限小变换下系统形式不变性的定义和判据。得到系统的守恒量与形式不变性之间的关系并举例说明结果的应用。
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| 关 键 词： | 非完整系统 Raitzin 正则方程 形式不变性 守恒量 |
| 收稿时间： | 6/8/2004 12:00:00 AM |
Form invariance of Raitzin's canonical equations of a nonholonomic mechanical system |
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| Qiao Yong-Fen,Li Ren-Jie and Ma Yong-Sheng.Form invariance of Raitzin''s canonical equations of a nonholonomic mechanical system[J].Chinese Physics B,2005,14(1):12-16. |
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| Authors: | Qiao Yong-Fen Li Ren-Jie and Ma Yong-Sheng |
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| Institution: | Department of Mechanical Engineering and Automation, Zhejiang Institute of Science and Technology, Hangzhou,312207, China;Faculty of Science, Laiyang Agricultural College, Laiyang,265200, China Engineering College of Northeast Agricultural University,Harb; Engineering College of Northeast Agricultural University,Harbin,150030, China; Faculty of Science, Laiyang Agricultural College, Laiyang,265200, China |
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| Abstract: | A form invariance of Raitzin's canonical equations of a nonholonomic mechanical system is studied. The Raitzin canonical equations of the system are established. The definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given. The relation between the form invariance and the conserved quantity of the system is obtained and an example is also given to illustrate the application of the result. |
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| Keywords: | nonholonomic system Raitzin's canonical equation form invariance conserved quantity |
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