| Timoshenko薄壁梁弯扭耦合振动的动态传递矩阵法 |
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| 引用本文： | 李俊,金咸定.Timoshenko薄壁梁弯扭耦合振动的动态传递矩阵法[J].振动与冲击,2001,20(4):57-59. |
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| 作者姓名： | 李俊 金咸定 |
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| 作者单位： | 上海交通大学船海学院结构力学研究所,上海,200030 |
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| 基金项目： | 本文受船舶工业国防基础研究基金资助J40.3.1 |
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| 摘 要： | 通过直接求解单对称均匀Timoshenko薄壁梁单元弯扭耦合振动的运动偏微分方程,导出了其自由振动时的动态传递矩阵,同时采用结合频率扫描法的二分法求解频率特征方程,并讨论了剪切变形和转动惯量对弯扭耦合Timoshenko薄壁梁的固有频率的影响.数值结果验证了本文方法在其适用范围内的精确性和有效性.
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| 关 键 词： | Timoshenko薄壁梁 弯扭耦合振动 动态传递矩阵法 |
| 修稿时间： | 2000年11月27 |
Dynamic Transfer Matrix Method for Bending-Torsional Vibration of Timoshenko Thin-Walled Beam |
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| Li Jun,Jin Xianding.Dynamic Transfer Matrix Method for Bending-Torsional Vibration of Timoshenko Thin-Walled Beam[J].Journal of Vibration and Shock,2001,20(4):57-59. |
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| Authors: | Li Jun Jin Xianding |
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| Abstract: | Dynamic transfer matrix for uniform Timoshenko thin_walled beam element is derived by solving the governing differential equation of motion of beam element.In order to obtain natural frequencies and natural modes,the bisection method combined with frequency sweep method is used to solve the characteristic equation of frequency.The effect of shear deformation and rotary inertia on natural frequency of thin_walled beam with bending_torsional vibration is discussed.Numerical example demonstrates the accuracy and effectiveness of the presented method. |
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| Keywords: | timoshenko thin_walled beam coupling bending_torsional vibration dynamic transfer matrix method |
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