Floating Elastic Plate

Introduction

The floating elastic plate is one of the best studied problems in hydroelasticity. It can be used to model a range of physical structures such as a floating break water, an ice floe or a VLFS). The equations of motion were formulated more than 100 years ago and a discussion of the problem appears in Stoker 1960. The problem can be divided into the two and three dimensional formulations which are closely related.

Equations of Motion

The Single Frequency Problem for a floating elastic plate which is governed by Kirkoffs equation is given by the following