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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
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.
Received June 11, 2019, published January 16, 2020
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
Linking options:
https://www.mathnet.ru/eng/semr1196 https://www.mathnet.ru/eng/semr/v17/p21
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Abstract page: | 314 | Full-text PDF : | 122 | References: | 21 |
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