| 经典非完整Appell Hamel约束的性质 |
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| 引用本文： | 李广成,陈雷明,王东晓,梅凤翔.经典非完整Appell Hamel约束的性质[J].动力学与控制学报,2010,8(2):97-99. |
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| 作者姓名： | 李广成 陈雷明 王东晓 梅凤翔 |
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| 作者单位： | 1. 郑州航空工业管理学院数理系,郑州,450015
2. 北京理工大学力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金，河南省教育厅自然科学基金 |
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| 摘 要： | 研究了非完整约束Appell-Hamel例.证明了经典Appell-Hamel例对于非完整系统的Hamilton作用量是稳定值.研究了该约束对于非完整力学Rosen-Edelstein模型的解,证明了对于三个非完整力学模型Ap-pell-Hamel例具有相同解.利用非完整力学系统可归结为有条件的完整系统的理论,得出了经典Appell-Hamel例具有第二类Lagrange方程的形式.
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| 关 键 词： | Appell-Hamel约束 Hamilton原理 Rosen-Edelstein模型 第二类Lagrange形式 |
| 收稿时间： | 4/6/2009 12:00:00 AM |
| 修稿时间： | 2009/4/15 0:00:00 |
Properties of classic nonholonimic Appell Hamel constraint |
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| LI Guangcheng,Chen Leiming,Wang Dongxiao and Mei Fengxiang.Properties of classic nonholonimic Appell Hamel constraint[J].Journal of Dynamics and Control,2010,8(2):97-99. |
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| Authors: | LI Guangcheng Chen Leiming Wang Dongxiao and Mei Fengxiang |
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| Affiliation: | Li Guangcheng1 Chen Leiming1 Wang Dongxiao1 Mei Fengxiang2 (1.Dept.of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou 450015,China) (2.Dept.of Mechanics,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | The Appell-Hamel constraint was studied.We prove that the Appell-Hamel constraint is stationary for Hamilton Action of nonholonomic systems,and has the same solution as the three mechanical models-Chetaev model,Rosen-Edelstein model and Vacco model.Finaly,using the theory that nonholonomic systems can be looked as holonomic systems under some conditions,we prove that the Appell-Hamel constraint has Lagrange equations of the second kind. |
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| Keywords: | Appell-Hamel constraint Hamilton principle Rosen-Edelstein mode the second Lagrange form |
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