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 (former - to 2024)
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 (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures Faculty of Science > Research Groups > Sustainable Energy
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:24
Last Modified:	07 Nov 2024 12:34
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20594
DOI:	10.1016/j.jappmathmech.2007.06.011

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