| 完整力学系统准坐标下运动方程的形式不变性 |
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| 引用本文： | 许志新. 完整力学系统准坐标下运动方程的形式不变性[J]. 北京理工大学学报, 2002, 22(4): 412-415. DOI: 10.3969/j.issn.1001-0645.2002.04.003 |
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| 作者姓名： | 许志新 |
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| 作者单位： | 华东船舶工业学院,基础学科系,江苏,镇江,212003 |
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| 基金项目： | 国家自然科学基金;19972010; |
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| 摘 要： | 对称性方法是寻求守恒量的近代方法.形式不变性是一种新的对称性.研究完整力学系统准坐标表示的运动微分方程在群的无限小变换下的形式不变性.给出形式不变性的定义和判据.研究形式不变性导致守恒量的条件,并举例说明结果的应用.
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| 关 键 词： | 完整系统 运动方程 准坐标 形式不变性 守恒量 |
| 文章编号： | 1001-0645(2002)04-0412-04 |
| 收稿时间： | 2002-03-15 |
| 修稿时间： | 2002-03-15 |
Form Invariance of Equations of Motion for Holonomic Systems in Terms of Quasi-Coordinates |
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| XU Zhi xin. Form Invariance of Equations of Motion for Holonomic Systems in Terms of Quasi-Coordinates[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2002, 22(4): 412-415. DOI: 10.3969/j.issn.1001-0645.2002.04.003 |
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| Authors: | XU Zhi xin |
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| Affiliation: | Dept. of Basic Courses, East China Shipbuilding Institute, Zhenjiang, Jiangsu212003, China |
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| Abstract: | Symmetry method is a modern method in seeking conservation. A form invariance is a new symmetry. The paper studies the form invariance of differential equations of motion for holonomic systems in terms of quasi coordinates, under the infinitesimal transformations of groups. Definition and criterion of the invariance are given. The condition under which the invariance can lead to a conserved quantity is deduced. An example is given to illustrate the application of the result. |
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| Keywords: | holonomic system equation of motion quasi coordinate form invariance conserved quantity |
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