Time-Dependent Motion of a Floating Circular Elastic Plate

Michael Meylan

doi:10.20944/preprints202012.0430.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 16 December 2020 / Approved: 17 December 2020 / Online: 17 December 2020 (12:04:22 CET)

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.

Hydroelasticity; Floating Plate; Linear Water Waves

Engineering, Marine Engineering

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Time-Dependent Motion of a Floating Circular Elastic Plate

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