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 Rumpa Chakraborty and B. N. Mandal.Water Wave Scattering by an Elastic Thin Vertical Plate Submerged in Finite Depth Water[J].Journal of Marine Science and Application,2013,(4):393-399.[doi:10.1007/s11804-013-1209-7]
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Water Wave Scattering by an Elastic Thin Vertical Plate Submerged in Finite Depth Water


Water Wave Scattering by an Elastic Thin Vertical Plate Submerged in Finite Depth Water
Rumpa Chakraborty and B. N. Mandal
Rumpa Chakraborty and B. N. Mandal
Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India
thin vertical elastic plate uniform finite depth water wave scattering reflection and transmission coefficients
The problem of water wave scattering by a thin vertical elastic plate submerged in uniform finite depth water is investigated here. The boundary condition on the elastic plate is derived from the Bernoulli-Euler equation of motion satisfied by the plate. Using the Green’s function technique, from this boundary condition, the normal velocity of the plate is expressed in terms of the difference between the velocity potentials (unknown) across the plate. The two ends of the plate are either clamped or free. The reflection and transmission coefficients are obtained in terms of the integrals’ involving combinations of the unknown velocity potential on the two sides of the plate, which satisfy three simultaneous integral equations and are solved numerically. These coefficients are computed numerically for various values of different parameters and depicted graphically against the wave number in a number of figures.


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Last Update: 2013-11-14