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Hydroelastic response of floating elastic discs to regular waves. Part 1. Wave basin experiments

Published online by Cambridge University Press:  16 April 2013

F. Montiel ,
F. Bonnefoy ,
P. Ferrant ,
L. G. Bennetts ,
V. A. Squire  and
P. Marsault
F. Montiel*
Affiliation:
Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand
F. Bonnefoy
Affiliation:
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique, École Centrale de Nantes, 1 rue de la Noë, Nantes, France
P. Ferrant
Affiliation:
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique, École Centrale de Nantes, 1 rue de la Noë, Nantes, France
L. G. Bennetts
Affiliation:
School of Mathematical Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
V. A. Squire
Affiliation:
Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand
P. Marsault
Affiliation:
Lycée François-Philibert Dessaignes, 12 rue Dessaignes, 41000 Blois, France
*
†Email address for correspondence: fmontiel@maths.otago.ac.nz
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Abstract

A series of wave basin experiments is reported that investigates the flexural response of one or two floating thin elastic discs to monochromatic waves. The work is motivated by numerical model validation. Innovative techniques are used to ensure the experimental configuration is consistent with the model. This demands linear motions, time-harmonic conditions, homogeneity of the plate and the restriction of horizontal motions of the disc or discs. An optical remote sensing device is employed to record the deflection of the discs accurately. Tests involving a single disc and two discs are conducted for a range of disc thicknesses, incident wave steepnesses, frequencies and, in the case of two discs, geometrical arrangements. A data processing technique is used to decompose the raw data into its spectral harmonics and filter the higher-order components. Pointwise comparisons of the linear first-order component of the experimental deflection with numerical predictions are presented. Satisfying agreement is found, although the model consistently over predicts the deflection. Disc–disc interactions are observed in the two-disc tests. A brief discussion of the shortcomings of the pointwise analysis, with associated possible sources of discrepancy, provides a link to the study reported in Part 2 (Montiel et al. J. Fluid Mech., vol. 723, 2013, pp. 629–652).

JFM classification

Waves/Free-surface Flows: Wave scattering Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 723 , 25 May 2013 , pp. 604 - 628
Copyright
©2013 Cambridge University Press 

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