Exact solutions in the problem of floating elastic plate

Korobkin, Alexander 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:	06 Feb 2025 02:48
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20594
DOI:	10.1016/j.jappmathmech.2007.06.011

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