Water wave scattering by a surface-mounted rectangular anisotropic elastic plate
Fluid Dynamics
2026-01-26 v3 Materials Science
Classical Physics
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.
Cite
@article{arxiv.2510.17872,
title = {Water wave scattering by a surface-mounted rectangular anisotropic elastic plate},
author = {Ben Wilks and Michael H. Meylan and Zachary J. Wegert and Vivien J. Challis and Ngamta Thamwattana},
journal= {arXiv preprint arXiv:2510.17872},
year = {2026}
}