Exact solutions in the problem of floating elastic plate

Alexander Korobkin; T.I. Khabakhpasheva

doi:10.1016/j.jappmathmech.2007.06.011

Exact solutions in the problem of floating elastic plate

Alexander Korobkin, T.I. Khabakhpasheva

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	321-328
Number of pages	8
Journal	Journal of Applied Mathematics and Mechanics
Volume	71
Issue number	2
DOIs	https://doi.org/10.1016/j.jappmathmech.2007.06.011
Publication status	Published - 2007

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10.1016/j.jappmathmech.2007.06.011

Cite this

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title = "Exact solutions in the problem of floating elastic plate",

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.",

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AB - 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.

U2 - 10.1016/j.jappmathmech.2007.06.011

DO - 10.1016/j.jappmathmech.2007.06.011

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