| 多节摆的自由振动分析 |
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| 引用本文： | 何勤,王正龄.多节摆的自由振动分析[J].大学物理,2011,30(4):12-15. |
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| 作者姓名： | 何勤 王正龄 |
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| 作者单位： | 江苏大学物理系; |
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| 摘 要： | 利用拉格朗日方程,导出了多节摆系统的运动微分方程.根据三对角阵的性质,给出了振动系统的特征多项式和特征矢量的递推公式,并以三节摆为例,说明了结果的应用,用此方法验证了<力学与实践>2002年第24期<多自由度振动系统的简正坐标和简正振动模式>一文中的结果.
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| 关 键 词： | 多节摆 自由振动 三对角阵 特征多项式 特征矢量 |
Analysis on a free vibration system of many identical pendulums |
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| HE Qin,WANG Zheng-ling.Analysis on a free vibration system of many identical pendulums[J].College Physics,2011,30(4):12-15. |
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| Authors: | HE Qin WANG Zheng-ling |
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| Institution: | HE Qin,WANG Zheng-ling(Department of Physics,Jiangsu University,Zhenjiang,Jiangsu 212013,China) |
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| Abstract: | The differential equation of motion of the system with many identical pendulums is derived by using Lagrange' equation.Based on properties of three diagonal matrixes,the recursion expressions of characteristic polynomial and mode vectors of the vibration system are given.Moreover,taking three identical pendulums as examples,we show the application of the result and confirm the result in the reference 3] with this method. |
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| Keywords: | many identical pendulums free vibration three diagonal matrixes characteristic polynomial mode vectors |
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