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Analytical Model of Wave Loads and Motion Responses for a Floating Breakwater System with Attached Dual Porous Side Walls

机译:附有双重多孔侧壁的浮动防波堤系统的波浪载荷和运动响应分析模型

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摘要

A set of two-dimensional analytical solutions considering the effects of diffraction and radiation are presented in this study to investigate the hydrodynamic interaction between an incident linear wave and a proposed floating breakwater system consisting of a rectangular-shaped body and two attached vertical side porous walls in an infinite fluid domain with finite water depth. The Matched Eigenfunction Expansion Method (MEEM) for multiple fluid domains is applied to derive theoretically the velocity potentials and associated unknown coefficients for wave diffraction and body motion induced radiation in each subdomain. Also, the exciting forces, as well as the added mass and damping coefficients for the floating breakwater system under the surge, heave, and pitching motions, are formulated. The displacements of breakwater motions are determined by solving the equation of motion. As a verification of the analytical model, the present solutions of the limiting cases in terms of exciting forces, moments, added masses, and damping coefficients are found to be well matched with other published numerical results. Additionally, the hydrodynamic performances and the dynamic responses in terms of Response Amplitude Operators (RAOs) of the proposed floating breakwater system are evaluated versus various dimensionless variables, such as wavelength and porous-effect parameter. The results show that the attached porous walls with selected porous properties are observed to have the advantages of reducing wave impacts on the floating breakwater system and at the same time its dynamic responses are also noticeably improved.
机译:本研究提出了一套二维分析解决方案,考虑了衍射和辐射的影响,以研究入射线性波与拟议的由矩形主体和两个相连的垂直侧面多孔壁组成的浮动防波堤系统之间的流体动力相互作用。在具有有限水深的无限流体域中。运用适用于多个流体域的匹配特征函数展开方法(MEEM),从理论上推导了每个子域中波衍射和人体运动引起的辐射的速度势和相关的未知系数。此外,还制定了在浪涌,升沉和俯仰运动下的浮动防波堤系统的激振力以及增加的质量和阻尼系数。通过求解运动方程来确定防波堤运动的位移。作为分析模型的验证,发现极限情况下当前在激振力,力矩,附加质量和阻尼系数方面的解决方案与其他已公开的数值结果非常匹配。此外,针对各种无量纲变量(例如波长和多孔效应参数),对拟议的浮动防波堤系统的水动力性能和动力响应进行了响应振幅算子(RAO)的评估。结果表明,观察到的具有选定多孔性的附着多孔壁具有减少波浪对浮动防波堤系统的影响的优点,同时其动态响应也得到了显着改善。

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