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GUO Yunxia,LIU Yong,MENG Xun. 2016. Oblique wave scattering by a semi-infinite elastic plate with finite draft floating on a step topography. Acta Oceanologica Sinica, 35(7):113－121

Oblique wave scattering by a semi-infinite elastic plate with finite draft floating on a step topography

斜向波对台阶地形上有限吃水半无限长弹性板的散射作用

Received:June 27, 2015 Revised:August 28, 2015

DOI：10.1007/s13131-015-0760-2

Key words:elastic plate draft plate edge conditions matched eigenfunction expansions oblique waves step topography

中文关键词: 弹性板吃水板端条件匹配特征函数展开斜向波台阶地形

基金项目:The National Natural Science Foundation of China under contract Nos 51490675, 51322903 and 51279224.

Author Name	Affiliation	E-mail
GUO Yunxia	Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China
LIU Yong	Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao 266100, China	liuyong@ouc.edu.cn
MENG Xun	Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao 266100, China

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Abstract:

On the basis of a potential theory and Euler-Bernoulli beam theory, an analytical solution for oblique wave scattering by a semi-infinite elastic plate with finite draft floating on a step topography is developed using matched eigenfunction expansions. Different from previous studies, the effects of a wave incident angle, a plate draft, three different plate edge conditions (free, simply supported and built-in) and a sea-bottom topography are all taken into account. Moreover, the plate edge conditions are directly incorporated into linear algebraic equations for determining unknown expansion coefficients in velocity potentials, which leads to a simple and efficient solving procedure. Numerical results show that the convergence of the present solution is good, and an energy conservation relation is well satisfied. Also, the present predictions are in good agreement with known results for special cases. The effects of the wave incident angle, the plate draft, the plate edge conditions and the sea-bottom topography on various hydrodynamic quantities are analyzed. Some useful results are presented for engineering designs.

中文摘要:

基于线性势流理论和欧拉-伯努利梁理论，采用匹配特征函数展开法建立斜向波对台阶地形上有限吃水半无限长弹性板散射的解析解。与以往研究不同，本文同时考虑波浪入射角度、弹性板吃水、三种不同板端条件（自由板端、简支板端、固定板端）以及海底地形的影响。本文还直接将板端条件引入匹配边界条件，建立线性方程组求解速度势中的展开系数，计算过程简单、高效。计算结果表明：本文方法收敛性好，并满足能量守恒方程。将本文计算结果与文献中的特例结果进行对比，吻合良好。分析了波浪入射角度、弹性板吃水、不同板端条件以及海底地形对弹性板水动力参数的影响，研究结果可以为工程设计提供参考。

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