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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 21–31
DOI: https://doi.org/10.33048/semi.2020.17.002
(Mi semr1196)
 

This article is cited in 2 scientific papers (total in 2 papers)

Computational mathematics

Spectrum of natural vibrations of a layered medium consisting of a Kelvin–Voigt material and a viscous incompressible fluid

V. V. Shumilova

Ishlinsky Institute for Problems in Mechanics RAS, 101-1, Vernadskogo ave., Moscow, 119526, Russia
Full-text PDF (159 kB) Citations (2)
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Abstract: The spectrum of one-dimensional natural vibrations is described for a two-phase medium consisting of periodically alternating layers. It is supposed that the first phase is an isotropic Kelvin–Voigt material and the second one is a viscous incompressible fluid. The set of initial approximations to the points of the above spectrum is found. Numerical results illustrating the accuracy of the proposed approximations are presented.
Keywords: spectrum, two-phase medium, natural vibrations, viscous incompressible fluid, Kelvin–Voigt material.
Funding agency Grant number
Russian Science Foundation 16-11-10343
Received June 11, 2019, published January 16, 2020
Bibliographic databases:
Document Type: Article
UDC: 519.615
MSC: 65F15
Language: Russian
Citation: V. V. Shumilova, “Spectrum of natural vibrations of a layered medium consisting of a Kelvin–Voigt material and a viscous incompressible fluid”, Sib. Èlektron. Mat. Izv., 17 (2020), 21–31
Citation in format AMSBIB
\Bibitem{Shu20}
\by V.~V.~Shumilova
\paper Spectrum of natural vibrations of a layered medium consisting of a Kelvin--Voigt material and a viscous incompressible fluid
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 21--31
\mathnet{http://mi.mathnet.ru/semr1196}
\crossref{https://doi.org/10.33048/semi.2020.17.002}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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