| 关于力学系统的守恒律 |
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| 引用本文： | 梅凤翔. 关于力学系统的守恒律[J]. 北京理工大学学报, 2002, 22(2): 133-138. DOI: 10.3969/j.issn.1001-0645.2002.02.001 |
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| 作者姓名： | 梅凤翔 |
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| 作者单位： | 北京理工大学,应用力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;19972010; |
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| 摘 要： | 守恒律在数学、力学和物理学中是非常有效的工具.介绍寻求守恒律的3种方法.首先,概述牛顿力学方法及其近代发展.其次,介绍Lagrange力学方法及其发展.最后,研究对称性方法,主要是Noether对称性、Lie对称性和形式不变性方法.
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| 关 键 词： | 守恒律 牛顿力学 Lagrange力学 对称性 |
| 文章编号： | 1001-0645(2002)02-0133-06 |
| 收稿时间： | 2001-11-12 |
| 修稿时间： | 2001-11-12 |
On Conservation Laws of Mechanical Systems |
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| MEI Feng xiang. On Conservation Laws of Mechanical Systems[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2002, 22(2): 133-138. DOI: 10.3969/j.issn.1001-0645.2002.02.001 |
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| Authors: | MEI Feng xiang |
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| Affiliation: | Dept. of Applied Mechanics, Beijing Institute of Technology, Beijing100081, China |
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| Abstract: | Conservation laws are extremely useful tools in mathematics, mechanics and physics. Three methods in arriving at the conservation laws are presented in this work. The method of Newtonian mechanics and its modern developments are first sammarised. Method of Lagrange mechanics and its developments are then presented, followed by the symmetry methods. |
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| Keywords: | conservation law Newtonian mechanics Lagrange mechanics symmetry |
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