Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-7pp.1062-1070

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Aghalovyan L.A., Aghalovyan M.L., and Zakaryan T.V., "Asymptotic Analysis of the Forced Oscillations of Double-Layered Plates with Viscous Resistance," Mech. Solids. 55 (7), 1062-1070 (2020)
Year 2020 Volume 55 Number 7 Pages 1062-1070
DOI 10.3103/S002565442007002X
Title Asymptotic Analysis of the Forced Oscillations of Double-Layered Plates with Viscous Resistance
Author(s) Aghalovyan L.A. (Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, 0019 Armenia, lagal@sci.am)
Aghalovyan M.L. (Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, 0019 Armenia, mheraghalovyan@rambler.ru)
Zakaryan T.V. (Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, 0019 Armenia, zaqaryantatevik@mail.ru)
Abstract The three-dimensional dynamic problem of forced oscillations of an orthotropic two-layered plate in the presence of internal friction in the layers is solved by the asymptotic method. It is assumed that the friction is proportional to the velocity of the points. The values of stress set on the front faces of the double-layered packet harmonically vary in time. The general asymptotic solution of the interior problem is found. It is shown that, due to friction (dissipation), the oscillation amplitudes always remain finite, while, in the absence of internal friction, there are frequencies at which the oscillation amplitude becomes infinite.
Keywords layered plate, forced oscillations, internal friction, asymptotic solution
Received 11 July 2019Revised 22 October 2019Accepted 31 October 2019
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