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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 53–57
(Mi vmumm4342)
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This article is cited in 1 scientific paper (total in 1 paper)
Short notes
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
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.
Received: 11.09.2019
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
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https://www.mathnet.ru/eng/vmumm4342 https://www.mathnet.ru/eng/vmumm/y2020/i4/p53
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Abstract page: | 97 | Full-text PDF : | 22 | References: | 14 | First page: | 6 |
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