| Lie对称性和守恒量在结构动力学中的应用 |
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| 引用本文： | 付昊,苏宁粉.Lie对称性和守恒量在结构动力学中的应用[J].山西建筑,2007,33(25):92-93. |
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| 作者姓名： | 付昊 苏宁粉 |
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| 作者单位： | 西安建筑科技大学土木工程学院,陕西西安 710055 |
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| 摘 要： | 研究了单自由度无阻尼自由振动的Lie对称性和守恒量,采用Lie对称性方法,对单自由度无阻尼自由振动体系的Lagrange方程,利用常微分方程在无限小变换下的不变性,建立Lie对称性的确定方程,得出了该系统的Lie对称性导致的守恒量的条件以及守恒量的形式。
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| 关 键 词： | 单自由度无阻尼自由振动 Lie对称性 守恒量 |
| 文章编号： | 1009-6825（2007）25-0092-02 |
| 修稿时间： | 2007-03-27 |
Application of Lie symmetries and conserved quantities on dynamics of structures |
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| FU Hao,SU Ning-fen.Application of Lie symmetries and conserved quantities on dynamics of structures[J].Shanxi Architecture,2007,33(25):92-93. |
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| Authors: | FU Hao SU Ning-fen |
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| Affiliation: | FU Hao SU Ning-fen |
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| Abstract: | This paper focuses on studying the Lie symmetries and conserved quantities of undamped free vibration for one-degree-of freedom systems.Based on the invariance of the systems under the infinitesimal transformation with respect to the time and coordinates,the authors present the Lie symmetry theorem for the systems.Obtain the Lie conserved quantities and the qualification for the conserved quantities. |
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| Keywords: | undamped free vibration for one-degree-of freedom systems Lie symmetries conserved quantities |
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