Abstract

A boundary integral equation method (BIEM) model for the problem of surface wave interaction with a moored finite floating flexible plate is presented. The BIEM solution is obtained by employing the free surface Greens function and Green’s theorem, and the expressions for the plate deflection, reflection, and transmission coefficients are derived from the integro-differential equation. Furthermore, the shallow water approximation model and its solution is obtained based on the matching technique in a direct manner. The accuracy of the present BIEM code is checked by comparing the results of deflection amplitude, reflection, and transmission coefficients with existing published results and experimental datasets as well as the shallow water approximation model. The hydroelastic response of the moored floating flexible plate is studied by analyzing the effects of the mooring stiffness, incidence angle, and flexural rigidity on the deflection amplitude, plate deformations, reflection, and transmission coefficients. The present analysis may be helpful in understanding the different physical parameters to model a wave energy conversion device with mooring systems over BIEM formulations.

Highlights

  • Researchers have been increasingly interested in studying the hydroelastic response of floating or submerged structures connected with mooring lines application to coastal or marine engineering problems in order to model floating breakwaters and wave energy converters

  • The hydroelastic response of moored finite floating flexible plate is studied by analyzing the effects of mooring stiffness, incident angle, and flexural rigidity of the moored floating flexible plate on the deflection amplitude, plate displacements, reflection, and transmission coefficients

  • To verify the accuracy of the present boundary integral equation method (BIEM) code, the obtained results of deflection amplitude, reflection and transmission coefficients are compared with existing published results of other calculations, experimental datasets, and shallow water approximation (SWA) models

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Summary

Introduction

Researchers have been increasingly interested in studying the hydroelastic response of floating or submerged structures connected with mooring lines application to coastal or marine engineering problems in order to model floating breakwaters and wave energy converters (see [1,2,3,4]). Surface wave interaction with a moored finite floating elastic plate was formulated using linear water wave theory and the effect of different design parameters on the floating elastic plate were analyzed using the eigenfunction expansion method in [16]. This paper presents a BIEM model for linear water wave interaction with a moored floating flexible plate in finite water depth to analyze the effect of mooring lines on the floating flexible structure on various design parameters. The hydroelastic response of moored finite floating flexible plate is studied by analyzing the effects of mooring stiffness, incident angle, and flexural rigidity of the moored floating flexible plate on the deflection amplitude, plate displacements, reflection, and transmission coefficients

Model Formulation
Integro-Differential Equation Based on BIEM
Shallow Water Approximation Model
Numerical Results and Discussions
Full Text
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