Time-Dependent Motion of a Floating Circular Elastic Plate

Abstract

The motion of a circular elastic plate floating on the surface is investigated in the time–domain. The solution is found from the single frequency solutions and the method to solve for the circular plate is given using the eigenfunction matching method. Simple plane incident waves with a Gaussian profile in wavenumber space are considered and a more complex focused wave group is considered. Results are given for a range of plate and incident wave parameters are investigated. Code is provided to show how to simulate the complex motion.

Design of the submerged horizontal plate breakwater using a fully coupled hydroelastic approach

“…Alongside the one‐way coupling and weakly two‐way coupling computational approaches, some analytical studies have been able to establish fully coupled solutions, for example, Coutand and Shkoller (2005), Muha and Canić (2013), and Meylan (2021), but a disadvantage of the analytical approaches is that they are not capable of considering nonlinear wave–structure interactions or accommodating arbitrary polyhedral geometries that are, however, essential for modern engineering purposes. Overall, as mentioned in Di Domenico et al.…”