| Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev＇s Type Constraints |
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| 引用本文： | XIA Li-Li LI Yuan-Cheng HOU Qi-Bao WANG Jing. Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev＇s Type Constraints[J]. 理论物理通讯, 2006, 46(4): 683-686 |
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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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| Affiliation: | College of Physics Science and Technology, ChinaUniversity of Petroleum, Dongying 257061, China |
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| Abstract: | Based on the total time derivative along the trajectoryof the system, the unified symmetry of nonholonomic mechanicalsystem with non-Chetaev's type constraints is studied. The definitionand criterion of the unified symmetry of nonholonomic mechanicalsystems with non-Chetaev's type constraints are given. A newconserved quantity, as well as the Noether conserved quantityand 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 conservedquantity |
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