| Analytic Solution of Interaction Between Surface Waves and Floating Elastic Plates with Elastic End-Restraints |
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| 作者姓名： | 赵存宝 张嘉钟 邢海燕 黄文虎 |
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| 作者单位： | Department of Aerospace Engineering and Mechanics Harbin Institute of Technology，Department of Aerospace Engineering and Mechanics，Harbin Institute of Technology，Department of Aerospace Engineering and Mechanics，Harbin Institute of Technology，Department of Aerospace Engineering and Mechanics，Harbin Institute of Technology，Harbin 150001，China，Harbin 150001，China，Harbin 150001，China，Harbin 150001，China |
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| 基金项目： | 国家自然科学基金;黑龙江省自然科学基金 |
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| 摘 要： | Based on the dynamic theories of water waves and Mindlin plates,the analytic solution of interaction between surface waves and two-dimensional floating elastic plates with edge-restraint is constructed by use of the Wiener-Hopf technique.Firstly,without regard for elastic edge restraint,the wave-induced responses of elastic floating plate analyzed by the present method are in good agreement with the results from literature and experimental results.Therefore,it can be shown that the present method is valid.Secondly,three end-restraint cases(i.e.,the left-end elastic restraints,the both-end elastic restraints,and the right-end elastic restraints)are proposed to reduce the vibration of floating plates,in which the spring is used to connect the sea bottom and the floating plate's left(or right)edge.The relations between the spring stiffness and the parameters of wave-induced responses of floating plates are discussed.Moreover,the effective method to reduce the vibration of floating elastic plates can be obtained through comparison.
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| 关 键 词： | 弹性浮动平板 边缘约束 表面波 相互作用 解析解 水波衍射 海面 |
| 收稿时间： | 2006-03-06 |
| 修稿时间： | 2006-07-04 |
Analytic Solution of Interaction Between Surface Waves and Floating Elastic Plates with Elastic End-Restraints |
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| ZHAO Cun-bao,ZHANG Jia-zhong,XING Hai-yan,HUANG Wen-hu.Analytic Solution of Interaction Between Surface Waves and Floating Elastic Plates with Elastic End-Restraints[J].China Ocean Engineering,2007,21(1):23-38. |
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| Authors: | ZHAO Cun-bao ZHANG Jia-zhong XING Hai-yan HUANG Wen-hu |
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| Abstract: | Based on the dynamic theories of water waves and Mindlin plates,the analytic solution of interaction between surface waves and two-dimensional floating elastic plates with edge-restraint is constructed by use of the Wiener-Hopf technique.Firstly,without regard for elastic edge restraint,the wave-induced responses of elastic floating plate analyzed by the present method are in good agreement with the results from literature and experimental results.Therefore,it can be shown that the present method is valid.Secondly,three end-restraint cases(i.e.,the left-end elastic restraints,the both-end elastic restraints,and the right-end elastic restraints)are proposed to reduce the vibration of floating plates,in which the spring is used to connect the sea bottom and the floating plate's left(or right)edge.The relations between the spring stiffness and the parameters of wave-induced responses of floating plates are discussed.Moreover,the effective method to reduce the vibration of floating elastic plates can be obtained through comparison. |
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| Keywords: | analytic solution diffraction of water waves elastic floating plate Mindlin plates Wiener-Hopf technique elastic end-restraints vibration reduction |
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