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

  • F. Montiel (a1), F. Bonnefoy (a2), P. Ferrant (a2), L. G. Bennetts (a3), V. A. Squire (a1) and P. Marsault (a4)...
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).

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Corresponding author
Email address for correspondence: fmontiel@maths.otago.ac.nz
References
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Allen, J. B. & Rabiner, L. R. 1977 A unified approach to short-time Fourier analysis and synthesis. Proc. IEEE 65, 15581564.
Andrianov, A. I. & Hermans, A. J. 2005 Hydroelasticity of a circular plate on water of finite or infinite depth. J. Fluids Struct. 20, 719733.
Bishop, R. E. D. & Price, W. G. 1979 Hydroelasticity of Ships. Cambridge University Press.
Chen, X., Wu, Y., Cui, W. & Jensen, J. J. 2006 Review of hydroelasticity theories for global response of marine structures. Ocean Engng 33, 439457.
Chu, E. 2008 Discrete and Continuous Fourier Transforms: Analysis, Applications and Fast Algoritthms. Chapman & Hall/CRC.
Cohen, L. 1989 Time-frequency distributions–a review. Proc. IEEE 77, 941981.
Faltinsen, O. M. & Timokha, A. N. 2009 Sloshing. Cambridge University Press.
Hirdaris, S. E. & Temarel, P. 2009 Hydroelasticity of ships: Recent advances and future trends. J. Eng. Marit. Environ. 223, 305330.
Kagemoto, H., Fujino, M. & Murai, M. 1998 Theoretical and experimental predictions of the hydroelastic response of a very large floating structure in waves. Appl. Ocean Res. 20, 135144.
Kagemoto, H. & Yue, D. K. P. 1986 Interactions among multiple three-dimensional bodies in water waves: an exact algebraic method. J. Fluid Mech. 166, 189209.
Kohout, A. L., Meylan, M. H., Sakai, S., Hanai, K., Leman, P. & Brossard, D. 2007 Linear water wave propagation through multiple floating elastic plates of variable properties. J. Fluids Struct. 23, 643649.
Langhorne, P. J., Squire, V. A., Fox, C. & Haskell, T. G. 1998 Break-up of sea ice by ocean waves. Ann. Glaciol. 27, 438442.
Love, A. E. H. 1944 A Treatise on the Mathematical Theory of Elasticity. Dover.
Marsault, P. 2010 Étude des interactions houle/glace de mer. Master’s thesis, École Centrale de Nantes (in French).
Meylan, M. H. 1994 The behaviour of sea ice in ocean waves. PhD thesis, University of Otago.
Meylan, M. H. & Squire, V. A. 1996 Response of a circular ice floe to ocean waves. J. Geophys. Res. 101, 88698884.
Montiel, F. 2012, Numerical and experimental analysis of water wave scattering by floating elastic plates. PhD thesis, University of Otago.
Montiel, F., Bennetts, L. G., Squire, V. A., Bonnefoy, F. & Ferrant, P. 2013 Hydroelastic response of floating elastic discs to regular waves. Part 2. Modal analysis. J. Fluid Mech. 723, 629652.
Ohmatsu, S. 2008 Model experiments for VLFS. In Very Large Floating Structures (ed. Wang, C. M., Watanabe, E. & Utsonomiya, T.). pp. 141164, Spon Research., chapter 7.
Peter, M. A., Meylan, M. H. & Chung, H. 2003 Wave scattering by a circular plate in water of finite depth: a closed form solution. In Proceedings of the 13th International Offshore and Polar Engineering Conference, pp. 180185. The International Society of Offshore and Polar Engineers.
Sakai, S. & Hanai, K. 2002 Empirical formula of dispersion relation of waves in sea ice. In Ice in the Environment: Proceedings of the 16th IAHR International Symposium on Ice, pp. 327335. The International Association of Hydraulic Engineering and Research.
Squire, V. A. 1984 A theoretical, laboratory, and field study of ice-coupled waves. J. Geophys. Res. 89, 80698079.
Squire, V. A. 2007 Of ocean waves and sea-ice revisited. Cold Reg. Sci. Technol. 49, 110133.
Squire, V. A. 2008 Synergies between VLFS hydroelasticity and sea ice research. Intl. J. Offshore Polar Engng 18, 241253.
Squire, V. A. 2011 Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Phil. Trans. R. Soc. A 369, 28132831.
Suzuki, H. 2005 Overview of megafloat: Concept, design criteria, analysis, and design. Mar. Struct. 18, 111132.
Ten, I., Malenica, Š & Korobkin, A. 2011 Semi-analytical models of hydroelastic sloshing impact in tanks of liquefied natural gas vessels. Philos. Trans. R. Soc. A 369, 29202941.
Toyota, T., Haas, C. & Tamura, T. 2011 Size distribution and shape properties of relatively small sea-ice floes in the Antarctic marginal ice zone in late winter. Deep-Sea Res. Pt. II 58, 11821193.
Utsunomiya, T., Watanabe, E., Wu, C., Hayashi, N., Nakai, K. & Sekita, K. 1995 Wave response analysis of a flexible floating structure by BE-FE combination method. In Proceedings of Fifth International Offshore and Polar Engineering Conference, pp. 400405. The International Society of Offshore and Polar Engineers.
Wang, C. M., Tay, Z. Y., Takagi, K. & Utsunomiya, T. 2010 Literature review of methods for mitigating hydroelastic response of VLFS under wave action. Appl. Mech. Rev. 63, 030802.
Watanabe, E., Utsunomiya, T. & Wang, C. M. 2004 Hydroelastic analysis of pontoon-type VLFS: a literature survey. Eng. Struct. 26, 245256.
Wehausen, J. V. 1971 The motion of floating bodies. Annu. Rev. Fluid Mech. 3, 237268.
Wu, Y. & Cui, W. 2009 Advances in the three-dimensional hydroelasticity of ships. J. Eng. Marit. Environ. 223, 331348.
Yago, K. & Endo, H. 1996 On the hydroelastic response of box-shaped floating structure with shallow draft. J. Soc. Nav. Arch. Japan 180, 341352, (in Japanese).
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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