| Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev＇s Type Constraints |
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| 作者姓名： | XIA Li-Li LI Yuan-Cheng HOU Qi-Bao WANG Jing |
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| 作者单位： | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| 摘 要： | Based on the total time derivative along the trajectory of the system, the unified symmetry of nonholonomic mechanical system with non-Chetaev＇s type constraints is studied. The definition and criterion of the unified symmetry of nonholonomic mechanical systems with non-Ohetaev＇s type constraints are given. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. Two examples are given to illustrate the application of the results.
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| 关 键 词： | 非完整机械系统 统一对称性 保有量 系统轨迹 |
| 收稿时间： | 2005-12-12 |
| 修稿时间： | 2005-12-122006-02-13 |
Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev's Type Constraints |
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| XIA Li-Li LI Yuan-Cheng HOU Qi-Bao WANG Jing.Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev's Type Constraints[J].Communications in Theoretical Physics,2006,46(4):683-686. |
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| Authors: | XIA Li-Li LI Yuan-Cheng HOU Qi-Bao WANG Jing |
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| Institution: | College of Physics Science and Technology, China
University of Petroleum, Dongying 257061, China |
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| Abstract: | Based on the total time derivative along the trajectory
of the system, the unified symmetry of nonholonomic mechanical
system with non-Chetaev's type constraints is studied. The definition
and criterion of the unified symmetry of nonholonomic mechanical
systems with non-Chetaev's type constraints are given. A new
conserved quantity, as well as the Noether conserved quantity
and the Hojman conserved quantity, deduced from the unified symmetry,
is obtained. Two examples are given to illustrate the application of the results. |
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| Keywords: | nonholonomic mechanical system of non-Chetaev's type unified symmetry conserved quantity |
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