A mathematical model of vibrations for a stack of rectangular plates with allowance for pointlike constraints
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 72-86
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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.
@article{VTGU_2010_1_a8,
author = {G. E. Berikhanova and B. T. Zhumagulov and B. E. Kanguzhin},
title = {A mathematical model of vibrations for a stack of rectangular plates with allowance for pointlike constraints},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {72--86},
publisher = {mathdoc},
number = {1},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2010_1_a8/}
}
TY - JOUR AU - G. E. Berikhanova AU - B. T. Zhumagulov AU - B. E. Kanguzhin TI - A mathematical model of vibrations for a stack of rectangular plates with allowance for pointlike constraints JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2010 SP - 72 EP - 86 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2010_1_a8/ LA - ru ID - VTGU_2010_1_a8 ER -
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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. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 72-86. http://geodesic.mathdoc.fr/item/VTGU_2010_1_a8/