Abstract

The interaction of water waves with a plate of finite width fixed on the free surface (a finite dock) within at the framework of a linear theory are considered. It is studied a diffraction in water of uniform finite depth by oblique incidence of the waves on the plate. The integral transform technique is used to solve this problem. The diffraction problem is reduced to the dual integral equations for a spectral function. The way to solve these equations consists in converting of them into Fredholm's integral equation of the second kind. The asymptotic solution of this equation is obtained. Representations for diffraction field and for the forces on the plate are given.

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