This article is cited 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.

UDC: 519.615

MSC: 65F15

Received June 11, 2019, published January 16, 2020

DOI: 10.33048/semi.2020.17.002

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