Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 53–57 (Mi vmumm4342)  
This article is cited in 2 scientific papers (total in 2 papers)

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Spectrum of one-dimensional natural vibrations of layered medium consisting of elastic material and viscous incompressible fluid

A. S. Shamaev, V. V. Shumilova

Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
Full-text PDF (181 kB) Citations (2)
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Abstract: The spectrum of one-dimensional natural vibrations of a layered medium with a periodic structure consisting of an isotropic elastic material and a viscous incompressible fluid is studied. It is established that the spectrum points are the roots of transcendental equations. In order to solve these equations numerically for multi-layered media, the roots of quadratic equations are proposed to use as initial approximations.
Key words: spectrum, natural vibrations, layered medium.
Funding agency Grant number
Russian Science Foundation 16-11-10343
Received: 11.09.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 4, Pages 172–176
DOI: https://doi.org/10.3103/S0027132220040063
Bibliographic databases:
Document Type: Article
UDC: 534-18
Language: Russian
Citation: A. S. Shamaev, V. V. Shumilova, “Spectrum of one-dimensional natural vibrations of layered medium consisting of elastic material and viscous incompressible fluid”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 53–57; Moscow University Mathematics Bulletin, 75:4 (2020), 172–176
Citation in format AMSBIB
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\jour Moscow University Mathematics Bulletin
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\pages 172--176
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    • This publication is cited in the following 2 articles:
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