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Oblique Wave Scattering by a System of Semi-Infinite Floating and Submerged Elastic Plates

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Abstract

In the present paper, oblique wave scattering by a system of semi-infinite floating and submerged elastic plates of different structural parameters is studied under the assumption of small-amplitude waves and structural response in finite water depth. Matched eigenfunction expansion method is used for the solution of the boundary value problem. Numerical results for wave scattering are computed and analyzed for the reflection and transmission coefficients to reveal the effects of the wave and structural parameters. Assuming infinitely extended floating and submerged plates in the horizontal direction, the amplitude ratio and dispersion relation are derived and the behavior of the roots of the dispersion relation is analyzed through a contour plot. Further, group and phase velocities are demonstrated briefly for various wave and structural parameters. The present model is validated by comparing with known results available in the literature for wave scattering by a semi-infinite floating elastic plate in the absence of the submerged plate.

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Authors and Affiliations

  1. SRM Research Institute and Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, 603203, India

    Harekrushna Behera

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  1. Harekrushna Behera
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Behera, H. Oblique Wave Scattering by a System of Semi-Infinite Floating and Submerged Elastic Plates. Differ Equ Dyn Syst 29, 157–173 (2021). https://doi.org/10.1007/s12591-018-0444-4

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