Phase manipulation and the harmonic components of ringing forces on a surface-piercing column

A general phase-based harmonic separation method for the hydrodynamic loading on a fixed structure in water waves of moderate steepness is proposed. An existing method demonstrated in the experimental study described by Zang et al. (Zang et al. 2010 In Proc. Third Int. Conf. on Appl. of Phys. Modell...

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Main Authors: Fitzgerald, C, Taylor, P, Grice, J, Zang, J, Eatock Taylor, R
Format: Journal article
Published: Royal Society 2014
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author Fitzgerald, C
Taylor, P
Grice, J
Zang, J
Eatock Taylor, R
author_facet Fitzgerald, C
Taylor, P
Grice, J
Zang, J
Eatock Taylor, R
author_sort Fitzgerald, C
collection OXFORD
description A general phase-based harmonic separation method for the hydrodynamic loading on a fixed structure in water waves of moderate steepness is proposed. An existing method demonstrated in the experimental study described by Zang et al. (Zang et al. 2010 In Proc. Third Int. Conf. on Appl. of Phys. Modelling to Port and Coastal Protection. pp. 1–7.) achieves the separation of a total diffraction force into odd and even harmonics by controlling the phase of incident focused waves. Underlying this method is the assumption that the hydrodynamic force in focused waves possesses a Stokes-like structure. Under the same assumption, it is shown here how the harmonic separation method can be generalized, so that the first four sum harmonics can be separated by phase control and linear combinations of the resultant time-histories. The effectiveness of the method is demonstrated by comparisons of the Fourier transforms of the combined time-histories containing the harmonics of interest. The local wave elevations around the focus time are also visualized for the first three harmonics in order to reveal the local dynamics driving components within the wave force time-history.
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spelling oxford-uuid:0cc0a709-30f1-4bfd-b2eb-75c237ac6aec2022-03-26T09:36:43ZPhase manipulation and the harmonic components of ringing forces on a surface-piercing columnJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0cc0a709-30f1-4bfd-b2eb-75c237ac6aecSymplectic Elements at OxfordRoyal Society2014Fitzgerald, CTaylor, PGrice, JZang, JEatock Taylor, RA general phase-based harmonic separation method for the hydrodynamic loading on a fixed structure in water waves of moderate steepness is proposed. An existing method demonstrated in the experimental study described by Zang et al. (Zang et al. 2010 In Proc. Third Int. Conf. on Appl. of Phys. Modelling to Port and Coastal Protection. pp. 1–7.) achieves the separation of a total diffraction force into odd and even harmonics by controlling the phase of incident focused waves. Underlying this method is the assumption that the hydrodynamic force in focused waves possesses a Stokes-like structure. Under the same assumption, it is shown here how the harmonic separation method can be generalized, so that the first four sum harmonics can be separated by phase control and linear combinations of the resultant time-histories. The effectiveness of the method is demonstrated by comparisons of the Fourier transforms of the combined time-histories containing the harmonics of interest. The local wave elevations around the focus time are also visualized for the first three harmonics in order to reveal the local dynamics driving components within the wave force time-history.
spellingShingle Fitzgerald, C
Taylor, P
Grice, J
Zang, J
Eatock Taylor, R
Phase manipulation and the harmonic components of ringing forces on a surface-piercing column
title Phase manipulation and the harmonic components of ringing forces on a surface-piercing column
title_full Phase manipulation and the harmonic components of ringing forces on a surface-piercing column
title_fullStr Phase manipulation and the harmonic components of ringing forces on a surface-piercing column
title_full_unstemmed Phase manipulation and the harmonic components of ringing forces on a surface-piercing column
title_short Phase manipulation and the harmonic components of ringing forces on a surface-piercing column
title_sort phase manipulation and the harmonic components of ringing forces on a surface piercing column
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