Abstract
Plane surface wave diffraction by a floating semi-infinite plate is studied. An analytic solution of the problem is constructed by the Wiener-Hopf technique. Analytic formulas for the reflection and transmission coefficients and their shortwave and longwave asymptotics are obtained. An explicit representation for the fluid velocity potential is found. The displacement, strain, and pressure distributions over the plate are investigated as functions of a dimensionless parameter, namely, the reduced rigidity of the plate, and the asymptotic distribution is studied for long and short waves.
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Tkacheva, L.A. Surface Wave Diffraction on a Floating Elastic Plate. Fluid Dynamics 36, 776–789 (2001). https://doi.org/10.1023/A:1013077003346
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DOI: https://doi.org/10.1023/A:1013077003346