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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010 Number 1(9), Pages 72–86 (Mi vtgu9)

This article is cited in 4 papers

MECHANICS

A mathematical model of vibrations for a stack of rectangular plates with allowance for pointlike constraints

G. E. Berikhanovaa, B. T. Zhumagulovb, B. E. Kanguzhinb

a Semipalatinsk State Pedagogical Institute
b Al-Farabi Kazakh National University

Abstract: In this paper a mathematical model of forced vibrations of a stack of flat plates with pointlike elastic constraints is proposed. Consistency of the proposed mathematical model is shown. A calculation algorithm for the received mathematical model is proposed and illustrative examples of calculation about forced vibrations for the case of a curved plate are presented.

Keywords: mathematical model, vibrations of plates, elastic problem, pointlike constraint, zero radius potential, natural vibrations.

UDC: 539.3


Accepted: February 8, 2010



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