| 水波中弹性浮板的减振问题研究 |
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| 引用本文： | 赵存宝,张嘉钟,黄文虎. 水波中弹性浮板的减振问题研究[J]. 应用数学和力学, 2007, 28(8): 929-938 |
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| 作者姓名： | 赵存宝 张嘉钟 黄文虎 |
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| 作者单位： | 哈尔滨工业大学 航天工程与力学系,哈尔滨 150001 |
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| 摘 要： | 基于线性水波理论和Mindlin厚板动力学理论，采用Wiener-Hopf方法，分析研究了水面上弹性浮板对水波的动响应及其减振问题．首先，在不考虑弹性联接情况下，将分析计算结果与前人的计算结果及实验数据进行了对比，验证了该方法的有效性．其次，基于该方法分析了连接浮板与水底的弹簧刚度与浮板振动响应各参数之间的关系，从而为超大型浮台系统的设计提供理论依据．
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| 关 键 词： | 水波衍射 弹性浮板 Mindlin厚板理论 Wiener-Hopf方法 减振 反射和透射系数 |
| 文章编号： | 1000-0887（2007）08-0929-10 |
| 收稿时间： | 2006-02-28 |
| 修稿时间： | 2006-02-28 |
Vibration Reduction of Floating Elastic Plates in Surface Waves |
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| ZHAO Cun-bao,ZHANG Jia-zhong,HUANG Wen-hu. Vibration Reduction of Floating Elastic Plates in Surface Waves[J]. Applied Mathematics and Mechanics, 2007, 28(8): 929-938 |
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| Authors: | ZHAO Cun-bao ZHANG Jia-zhong HUANG Wen-hu |
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| Affiliation: | Department Aerospace Engineering & Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| Abstract: | Based on the dynamical theories of water waves and dynamics of Mindlin thick plates,the investigation of the wave-induced responses and the vibration reduction of an elastic floating plate were presented by using the Wiener-Hopf technique.Firstly,regardless of without the case of elastic connector,the calculated results obtained by the present method were in good agreement with the results from the literature and the experiment.So it can be shown that the present method is valid.Finally,the relation between the spring stiffness to be used to connect the sea bottom and the floating plate,and the parameters of wave-induced responses of floating plates was analyzed by using the present method.Therefore,these results can be used as theoretical bases at the design stage of the super floating platform systems. |
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| Keywords: | diffraction of water wave elastic floating plate Mindlin thick plates theory Wiener-Hopf technique vibration reduction transmission and reflection coefficient |
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