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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/semr1196
https://www.mathnet.ru/eng/semr/v17/p21
This publication is cited in the following 2 articles:
A. S. Shamaev, V. V. Shumilova, “Homogenization of motion equations for medium consisting of elastic material and incompessible Kelvin-Voigt fluid”, Ufa Math. J., 16:1 (2024), 100–111
V. V. Shumilova, “Spektr odnomernykh sobstvennykh kolebanii dvukhfaznykh sloistykh sred s periodicheskoi strukturoi”, Tr. IMM UrO RAN, 28, no. 4, 2022, 250–261
Citation in format AMSBIB
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