Water wave scattering by a surface-mounted rectangular anisotropic elastic plate

TL;DR

This study investigates how water waves interact with a rectangular anisotropic elastic plate on the ocean surface, analyzing resonant behaviors and mode excitation using numerical methods.

Contribution

It introduces a novel approach combining Rayleigh-Ritz and boundary integral methods to analyze water wave scattering by anisotropic elastic plates.

Findings

Resonant responses depend on the plate's mode excitation.

Symmetry can prevent certain mode excitations.

Numerical results illustrate complex scattering behaviors.

Abstract

This paper considers the problem of water wave scattering by a rectangular anisotropic elastic plate mounted on the ocean surface, with either free, clamped or simply-supported edges. The problem is obtained as an expansion over the dry modes of the elastic plate, which are computed using a Rayleigh--Ritz method. In turn, the component diffraction and radiation problems are solved by formulating a boundary integral equation and solving numerically using a constant panel method. The results are presented to highlight the resonant responses of the plate under different forcing scenarios. In particular, we illustrate how the excitation of certain modes can be forbidden due to symmetry.