Surface gravity wave interaction with a floating circular elastic plate in the presence of concentric porous arc walls

Abstract

A Fourier Bessel series type expansion formula is used to investigate the interaction of surface gravity wave with two arc-shaped porous breakwaters that shield a circular floating flexible structure from wave action. The flexural gravity waves result from the interaction between the surface gravity waves and the circular floating structure. Additionally, when the floating structure encounters lateral compression force, flexural gravity wave blocking occurs. Moreover, the floating structure is triggered by the interaction of three unique wave modes for every wave frequency within the confines of the blocking frequencies. The two arc-shaped permeable breakwaters significantly reduce the wave force acting on the floating structure as compared to situations where there is just one arc wall or no breakwater at all. Resonant peaks in the wave forces arising within the impermeable breakwaters diminish with the introduction of structural permeability. The hydrodynamic load on the floating structure and the pair of porous arc breakwaters exhibit removable discontinuities near the blocking frequency. Surface plots illustrate the irregular distribution of plate deflection at certain angular frequencies. Contour plots are used to ascertain the spatial configuration of fluid flow around a structure. Furthermore, several wave and structural parameters, including the position of the breakwaters and their structural dimensions, breakwater porosity, annular radius, compressive force, incident angle, and wave forces experienced by the floating structure, contribute to mitigating wave-induced structural response and wave forces experienced by the floating structure. Time-dependent simulation of the surface displacement by the incident wave demonstrates the flow features.