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.
Citation:
A. A. Korobkin, “Numerical and asymptotic study of the two-dimensional problem of the hydroelastic behavior of a floating plate in waves”, Prikl. Mekh. Tekh. Fiz., 41:2 (2000), 90–96; J. Appl. Mech. Tech. Phys., 41:2 (2000), 286–292
\Bibitem{Kor00}
\by A.~A.~Korobkin
\paper Numerical and asymptotic study of the two-dimensional problem of the hydroelastic behavior of a floating plate in waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 2
\pages 90--96
\mathnet{http://mi.mathnet.ru/pmtf2904}
\elib{https://elibrary.ru/item.asp?id=17261876}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 2
\pages 286--292
\crossref{https://doi.org/10.1007/BF02465270}
Linking options:
https://www.mathnet.ru/eng/pmtf2904
https://www.mathnet.ru/eng/pmtf/v41/i2/p90
This publication is cited in the following 7 articles:
L. A. Tkacheva, “Wave Diffraction on an Ice Sheet in the Presence of Shear Current”, Fluid Dyn, 59:3 (2024), 546
Sarat Chandra Mohapatra, C. Guedes Soares, “Hydroelastic Response of a Moored Floating Flexible Circular Structure Applying BIEM”, JMSE, 11:12 (2023), 2322
Ai-Jun Li, Hui Fang, Yong Liu, “Hydroelastic analysis of interaction between water waves and a floating laminated disk”, Physics of Fluids, 34:4 (2022)
V K Kostikov, N I Makarenko, A A Korobkin, “Unsteady motion of circular cylinder under ice cover”, IOP Conf. Ser.: Earth Environ. Sci., 193 (2018), 012036
E. A. Batyaev, “Hydroelastic behavior of a complex structure floating on waves”, J. Appl. Mech. Tech. Phys., 50:6 (2009), 1036–1043
C.M. Wang, D.C. Pham, K.K. Ang, “Effectiveness and optimal design of gill cells in minimizing differential deflection in circular VLFS”, Engineering Structures, 29:8 (2007), 1845
L. A. Tkacheva, “Vibrations of a floating elastic plate due to periodic displacements of a bottom segment”, J. Appl. Mech. Tech. Phys., 46:5 (2005), 754–765
Citation in format AMSBIB
Contact us: