G. E. Berikhanova, B. T. Zhumagulov, B. E. Kanguzhin, “A mathematical model of vibrations for a stack of rectangular plates with allowance for pointlike constraints”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010, Number 1(9),Pages <nobr>72

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. Berikhanova^a, B. T. Zhumagulov^b, B. E. Kanguzhin^b

^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