Exact solutions in the problem of floating elastic plate

Alexander Korobkin, T.I. Khabakhpasheva

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8 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)321-328
Number of pages8
JournalJournal of Applied Mathematics and Mechanics
Issue number2
Publication statusPublished - 2007

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