Abstract

Wave forces and moments due to scattering and radiation for a vertical circular cylinder heaving in water of finite depth are derived analytically. These are derived from the total velocity potential which can be decomposed as two velocity potentials; one due to scattering in the presence of an incident wave on fixed structure (diffraction problem), and the other due to radiation by the heave motion on calm water (radiation problem). For each part, the velocity potential is derived by considering two regions, namely, interior region and exterior region. The complex matrix equations are solved numerically to determine the unknown coefficients to compute the wave loads. Some numerical results are presented for different depth to radius and draft to radius ratios.

Highlights

  • The estimation of hydrodynamic forces on an offshore structure has received considerable attention from the designers

  • The hydrodynamic interactions due to wave scattering between the numbers of an array of stationary, truncated cylinders have been investigated by Williams and Numerical results for the added mass and damping coefficients of semi-submerged two-dimensional heaving cylinders in water of finite depth were presented by Bai [1]

  • The wave loads for a vertical circular cylinder heaving in finite depth water in the presence of an incident wave have been computed in this paper

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Summary

Introduction

The estimation of hydrodynamic forces on an offshore structure has received considerable attention from the designers. Yeung [12] presented a set of heoretical added masses and damping coefficients for a floating circular cylinder in finite-depth water. Garrison [4] presented a numerical method for the computations o determine wave excitation forces as well as added mass and damping coefficients for large objects in water of finite depth.

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