Abstract
The problem of the behavior of a floating elastic plate in waves is solved numerically. The normal mode method is used. For a fluid of finite depth, the hydrodynamic coefficients are obtained in explicit form. Numerical results are compared with experimental data for the stress distribution in the plate and also with numerical results of other authors. The results are in good agreement for not very short waves. For incident waves whose wavelength is comparable with the length of the plate, a long-wave approximation of the solution is proposed. Within the framework of this approximation, the solution is given in analytical form.
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References
C. Wu, E. Watanabe, and T. Utsonomiya, “An eigenfunction expansion-matching method for analyzing the wave-induced responses of an elastic floating plate,”Appl. Ocean Res.,17, No. 5, 301–310 (1995).
K. Yado and H. Endo, “On the hydroelastic response of box-shaped floating structure with shallow draft,”J. Soc. Naval Arch. Jpn.,152, 307–317 (1998).
M. Meyland and V. A. Squire, “Finite-floe wave reflection and transmission coefficients from a semi-infinite model,”J. Geophys. Res.,98, No. C7, 12537–12542 (1993).
I. V. Sturova, “Oblique incidence of surface waves on an elastic plate,”Prikl. Mekh. Tekh. Fiz.,40, No. 4, 62–68 (1999).
P. Mamidipudi and W. C. Webster, “The motions performance of a mat-like floating airport,” in:hydroelasticity'94, Proc. of the Int. Conf. (Trondheim, Norway, May 25–27, 1994) Rotterdam (1994).
Additional information
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 2, pp. 90–96, March–April, 2000.
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Korobkin, A.A. Numerical and asymptotic study of the two-dimensional problem of the hydroelastic behavior of a floating plate in waves. J Appl Mech Tech Phys 41, 286–292 (2000). https://doi.org/10.1007/BF02465270
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DOI: https://doi.org/10.1007/BF02465270