Large Bodies: Second-Order Effects

Bernard Molin

doi:10.1017/9781009198059.009

7 - Large Bodies: Second-Order Effects

Published online by Cambridge University Press: 31 January 2023

Bernard Molin

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Bernard Molin: Affiliation:
École Centrale de Marseille and NTNU: Norwegian University of Science and Technology

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Summary

In this chapter the wave body interaction is extended to the second order in the wave amplitude. This leads to wave loads, and responses, taking place at the sum and difference frequencies of the components in the incoming wave system. The time averaged wave load (the drift force) is first considered in regular waves. The different formulations of the drift force (near-field, far-field, middle-field, Lagally) are described. The sensitivity of the drift force to a coincident current is emphasized and the extension of the diffraction radiation theory to a superimposed current is presented, together with the so-called Aranha’s formula that offers a practical approximation to the wave drift damping effect. Second-order diffraction theory is detailed in regular waves, with practical application to a bottom-mounted vertical cylinder. The concept of Quadratic Transfer Function (QTF) is first introduced in the case of bichromatic seas and then applied to the low frequency loading in irregular waves, where the validity of frequently used approximations (e.g. Newman approximation) is discussed. A section is then devoted to the Rainey equations which can be viewed as a second-order extension of the inertia term in the Morison equation. Finally practical calculation of the slow-drift and springing responses is considered.

Keywords

Linearized potential flow theory wave excitation load added mass damping wave response roll resonance sloshing in tanks wave energy moonpool resonance gap resonance.

Type: Chapter
Information: Offshore Structure Hydrodynamics , pp. 219 - 286

DOI: https://doi.org/10.1017/9781009198059.009 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2023

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7 - Large Bodies: Second-Order Effects

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