| 阻尼耦合振动的Lagrange函数和Hamilton函数 |
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| 引用本文： | 丁光涛,甘慧兰,郑贤锋,崔执凤.阻尼耦合振动的Lagrange函数和Hamilton函数[J].原子与分子物理学报,2012,29(2):350-352. |
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| 作者姓名： | 丁光涛 甘慧兰 郑贤锋 崔执凤 |
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| 作者单位： | 安徽师范大学物理与电子信息学院,芜湖,241000 |
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| 摘 要： | 本文研究两种阻尼耦合振动的分析力学化.首先,利用坐标变换将方程变换成自伴随形式;其次,根据Engels方法计算得到Lagrange函数;最后,由逆变换导出原始方程的Lagrange函数,以及Hamilton函数.
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| 关 键 词： | 阻尼耦合振动 分析力学化 坐标变换 自伴随 |
The Lagrangians and Hamiltonians of damped coupled vibrations |
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| DING Guang-Tao
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GAN Hui-Lan
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ZHENG Xian-Feng
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CUI Zhi-Feng.The Lagrangians and Hamiltonians of damped coupled vibrations[J].Journal of Atomic and Molecular Physics,2012,29(2):350-352. |
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| Authors: | DING Guang-Tao GAN Hui-Lan ZHENG Xian-Feng CUI Zhi-Feng |
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| Institution: | (College of Physics and Electronic Information,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | In this paper, the analytical mechanization of two kinds of damped coupled vibrations is studied. Firstly, by use of coordinate transformations the equations of motion are transformed into the self-adjoint form. Secondly, the Lagrangians are obtained according to Engels method .Finally the Lagrangians and Hamiltonians of the original equations are deduced by using the inverse transformation . |
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| Keywords: | damped coupled vibrations analytical mechanization coordinate transformation |
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