| 中厚度圆浮板自由振动的一个解析解 |
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| 引用本文： | 黄玉盈,程为民.中厚度圆浮板自由振动的一个解析解[J].固体力学学报,1989,10(1):12-23. |
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| 作者姓名： | 黄玉盈 程为民 |
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| 作者单位： | 华中理工大学
(黄玉盈)，华中理工大学(程为民) |
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| 摘 要： | 本文提出了常水深环境下中厚度圆浮板自由振动的一个解析解.分析中考虑了板横向剪切变形的影响和横截面转动惯性效应,利用空气中中厚度圆板的振型叠加和势流理论,导得了浮板系统频率方程的解析式.由此可看出Y.Tanaka得到的圆形薄浮板的解是本文的特例.最后数值计算还给出了水深和钢缆刚度与频率的关系曲线.并指出了h/a在什么范围可以略去剪切变形和转动惯量的影响.
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| 关 键 词： | 自由振动 圆浮板 解析解 中厚度板 |
AN ANALYTICAL SOLUTION OF FREE VIBRATION FOR FLOATING CIRCULAR PLATE WITH MODERATE THICKNESS |
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| Huang Yuying Cheng Welmin.AN ANALYTICAL SOLUTION OF FREE VIBRATION FOR FLOATING CIRCULAR PLATE WITH MODERATE THICKNESS[J].Acta Mechnica Solida Sinica,1989,10(1):12-23. |
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| Authors: | Huang Yuying Cheng Welmin |
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| Institution: | Huazhong Universitv of Science and Technology |
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| Abstract: | In this paper free vibration of offshore circular plate with moderate thickness floating on a liquid of finite constant depth and anchored by uniformly distributed springs to the sea bed is investigated. The frequency equation of a floating plate is analytically obtained on the basis of linear potential flow theory and expansion theorem in the eigenfunctions. The variations in natural frequencies of a plate due to water depth and spring stiffness are given. It is shown that the results obtained by Y. Tanaka ~3]is a special case of that we discussed. |
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| Keywords: | Free vibration Circular floating plate Moderate thick plate Interaction between fluld and plate |
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