| 单面完整约束系统的Lutzky守恒量 |
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| 引用本文： | 张毅.单面完整约束系统的Lutzky守恒量[J].中国石油大学学报(自然科学版),2006,30(5):93-97. |
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| 作者姓名： | 张毅 |
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| 作者单位： | 苏州科技学院,土木工程系,江苏,苏州,215011 |
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| 基金项目： | 江苏省高校自然科学基金 |
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| 摘 要： | 研究了单面完整约束系统的对称性与守恒量。建立了系统的运动微分方程，在时间和空间的点对称变换下，给出了系统的Lie对称性的定义，得到了由单面完整约束力学系统的Lie对称性直接导致的一类新守恒量——Lutzky守恒量，作为特例，给出了有多余坐标系统、非保守系统、Lagrange系统的Lutzky守恒量，并举例说明了该研究结果的应用。
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| 关 键 词： | 分析力学 单面约束 完整系统 对称性 Lutzky守恒量 |
| 收稿时间： | 2005-12-28 |
Lutzky conserved quantities for systems with unilateral holonomic constraints |
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| ZHANG Yi.Lutzky conserved quantities for systems with unilateral holonomic constraints[J].Journal of China University of Petroleum,2006,30(5):93-97. |
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| Authors: | ZHANG Yi |
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| Institution: | Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, Jiangsu Province, China |
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| Abstract: | The symmetries and conserved quantities for the systems with unilateral holonomic constraints were studied. The differential equations of motion of the systems were established. Under the point symmetric transformations of the coordinates and time, the definition of Lie symmetry of the system was given, and a new type of conserved quantities called Lutzky conserved quantities, which is directly deduced from Lie symmetries of the system, was obtained. As special cases, the Lutzky conserved quantities for the system with remainder coordinates, the non-conservative system and the Lagrange system, were given. An example was given to illustrate the application of the results. |
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| Keywords: | analytical mechanics unilateral constraint holonomic system syrnmetry Lutzky conserved quantity |
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