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

Acta Oceanologica Sinica 2016年第7期35卷 113-121页

作者： GUO Yunxia LIU Yong MENG Xun Institute of Oceanology Chinese Academy of Sciences Shandong Provincial Key Laboratory of Ocean Engineering Ocean University of China

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.

关键词： elastic plate draft plate edge conditions matched eigenfunction expansions oblique waves step topography

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CONJUGATE FLOWS OVER A step IN A THREE-LAYER FLUID

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Journal of Hydrodynamics 2002年第4期14卷 15-23页

作者： Wei, Gang Le, Ja-Chun Dai, Shi-Qiang Inst. of Appl. Math. and Mech. Shanghai Univ. Shanghai 200072 China Sch. of Sci. P.L.A Univ. of Sci. and Eng. Nanjing 211101 China

The conjugate flows over a step with the height h_0, which might be positive or negative, was studied in a three-layer fluid and the coupled nonlinear equations were derived, with which the effects of varying height h_0 on the existence and evolution of conjugate flows were examined. It is concluded that the conjugate flow is sharply sensitive to the thickness of fluid layers and its characteristics alters remarkably due to the existence of the step. As the flow climbs up a step (h_0>0), the conjugate flow with a convex lower interface and a concave upper interface is allowed to appear, while the flow with the concave lower interface or the simultaneous concave interfaces will be depressed. As the flow goes down a step (i.e., h_0step depth.

关键词： conjugate flow flat solitary wave stratified flow step topography three-layer fluid

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