Exact solutions in the problem of floating elastic plate

Korobkin, Alexander ORCID: https://orcid.org/0000-0003-3605-8450 and Khabakhpasheva, T.I. (2007) Exact solutions in the problem of floating elastic plate. Journal of Applied Mathematics and Mechanics, 71 (2). pp. 321-328.

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Abstract

It is shown that it is possible to construct, by an inverse method, exact solutions of the problem of the flexural-gravitational oscillations of a floating elastic plate. The results obtained are used to check the accuracy of numerical solutions of the problem. It is shown that the numerical algorithm given in Ref. [Khabakhpasheva TI. The plane problem of an elastic floating plate. In Continuum Dynamics. Inst. Gidrodinamiki SO Ross Akad Nauk 2000;16:166–9.], predicts, with high accuracy, the values of the amplitudes of the oscillations of the plate and the distributions of the bending moments and hydrodynamic pressure for a wide frequency range.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Centre for Interdisciplinary Mathematical Research (former - to 2017)
Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 10:24
Last Modified: 02 Feb 2023 12:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/20594
DOI: 10.1016/j.jappmathmech.2007.06.011

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