Abstract
The wave scattering by a finite floating elastic plate connected with mooring lines at its corners in the presence of lateral pressure load is analyzed in detail based on the linearized theory of water waves. The solution of the physical problem is obtained using the eigenfunction expansion method and by the application of orthogonal mode-coupling relation in case of finite water depth. Further, continuity of velocity and pressure is used along with the edge conditions to determine the full velocity potential for shallow water approximation. The hydroelastic behaviour of the floating elastic plate is investigated by analyzing the effect of the stiffness of the mooring lines on the reflection and transmission characteristics of the gravity waves. The bending moment, shear force, vertical deflection and strain at the surface of the floating elastic plate are computed and analyzed to understand the effect of mooring on the wave motion below the plate. The effect of lateral pressure load on the floating elastic plate is also analyzed and compared for various values of stiffness of the mooring lines and water depth.
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