Geodesic
Spectrum of natural vibrations of a layered medium consisting of a Kelvin--Voigt material and a viscous incompressible fluid
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 21-31

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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, Kelvin–Voigt material.
Mots-clés : viscous incompressible fluid 
@article{SEMR_2020_17_a116,
     author = {V. V. Shumilova},
     title = {Spectrum of natural vibrations of a layered medium consisting of a {Kelvin--Voigt} material and a viscous incompressible fluid},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {21--31},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a116/}
}
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V. V. Shumilova. Spectrum of natural vibrations of a layered medium consisting of a Kelvin--Voigt material and a viscous incompressible fluid. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 21-31. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a116/