| Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev＇s Type with Unilateral Constraints |
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| 作者姓名： | XIA Li-Li LI Yuan-Cheng WANG Jing HOU Qi-Bao |
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| 作者单位： | College of Physical Science and Technology, China University of Petroleum, Dongying 257061, China |
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| 摘 要： | The definition and the criterion for a unified symmetry of nonholonomic mechanical systems of non- Chetaev＇s type with unilateral constraints are presented based on the total time derivative along the trajectory of the system. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced froth the unified symmetry, is obtained. An example is given to illustrate the application of the results.
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| 关 键 词： | 非完整机械系统 非Chetaev型 单向约束 一致对称性 机械运动 |
| 收稿时间： | 2006-02-23 |
| 修稿时间： | 2006-02-232006-05-17 |
Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev's Type with Unilateral Constraints |
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| XIA Li-Li LI Yuan-Cheng WANG Jing HOU Qi-Bao.Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev's Type with Unilateral Constraints[J].Communications in Theoretical Physics,2006,46(6):1081-1084. |
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| Authors: | XIA Li-Li LI Yuan-Cheng WANG Jing HOU Qi-Bao |
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| Institution: | College of Physical Science and Technology, China University
of Petroleum, Dongying 257061, China |
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| Abstract: | The definition and the criterion for a unified symmetry
of nonholonomic mechanical systems of non-Chetaev's type with
unilateral constraints are presented based on the total time
derivative along the trajectory of the system. A new conserved
quantity, as well as the Noether conserved quantity and the Hojman
conserved quantity, deduced from the unified symmetry, is obtained.
An example is given to illustrate the application of the results. |
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| Keywords: | unilateral constraints nonholonomic mechanical system of non-Chetaev's type unified symmetry conserved quantity |
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