Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-4pp.452-460

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L.A. Agalovyan and R.S. Gevorkyan, "Asymptotic solution of the first boundary-value problem of the theory of elasticity of the forced vibrations of an isotropic strip," J. Appl. Math. Mech. 72 (4), 452-460 (2008)
Year 2008 Volume 72 Issue 4 Pages 452-460
Title Asymptotic solution of the first boundary-value problem of the theory of elasticity of the forced vibrations of an isotropic strip
Author(s) L.A. Agalovyan (Yerevan, Armenia, aghal@mechins.sci.am)
R.S. Gevorkyan (Yerevan, Armenia, gevorgyanrs@mail.ru)
Abstract The first boundary-value problem of the theory of elasticity of the forced vibrations of an isotropic strip is solved by an asymptotic method. The asymptotic form of the components of the stress tensor and the displacement vector, which differ in principle from the asymptotic form in the corresponding static problem, is established. All the required quantities in the inner problem are determined and the conditions for resonance to occur are established. The solution in the dynamic boundary layer is constructed and the fundamental (inner) and boundary solutions are matched.
Received 16 May 2007
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