| 轴向受载的Timoshenko薄壁梁固有振动和稳定性的理论分析 |
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| 引用本文： | 李俊,金咸定.轴向受载的Timoshenko薄壁梁固有振动和稳定性的理论分析[J].强度与环境,2002,29(2):18-23. |
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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： | 船舶工业国防基础研究基金资助J40 .3 .1 |
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| 摘 要： | 通过直接求解轴向受载的单对称均匀Timoshenko薄壁梁单元弯扭耦合振动的运动微分方程，推导了其动态传递矩阵，讨论了轴向力对弯扭耦合Timoshenko薄壁梁的固有频率的影响，并得到了零频率振动（弹性屈曲）发生时相应的轴向载荷，娄值结果表明，本文的方法在其适用范围内是精确有效的。
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| 关 键 词： | 轴向受载 Timoshenko薄壁梁 固有振动 稳定性 理论分析 弯扭耦合振动 传递矩阵法 |
| 文章编号： | 1006-3919(2002)02-0018-06 |
| 修稿时间： | 2001年9月16日 |
Theoretical Analysis on Natural Vibration and Stability of Axially-Loaded Timoshenko Thin-Walled Beam |
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| LI Jun,JIN Xian ding.Theoretical Analysis on Natural Vibration and Stability of Axially-Loaded Timoshenko Thin-Walled Beam[J].Structure & Environment Engineering,2002,29(2):18-23. |
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| Authors: | LI Jun JIN Xian ding |
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| Abstract: | Dynamic transfer matrix of axially loaded uniform Timoshenko thin walled beam element is derived by solving the governing motion differential equation of beam.The effect of axial force on natural frequency of thin walled beam with bending torsional vibration is discussed.The critical axial load corresponding to zero frequency vibration(elastic buckling)is also obtained.Numerical example demonstrates the accuracy and effectiveness of the presented method |
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| Keywords: | Axially loaded Timoshenko thin walled beam Bending torsional vibration Transfer matrix method |
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