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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2008-2pp.192-196

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N.V. Banichuk and A.A. Barsuk, "Localization of eigenforms and limit transformations in problems of the stability of rectangular plates," J. Appl. Math. Mech. 72 (2), 192-196 (2008)
Year 2008 Volume 72 Issue 2 Pages 192-196
Title Localization of eigenforms and limit transformations in problems of the stability of rectangular plates
Author(s) N.V. Banichuk (Moscow, Russia, banichuk@ipmnet.ru)
A.A. Barsuk (Moscow, Russia)
Abstract Problems of the stability (buckling) of compressed rectangular plates are considered. It is assumed that evenly distributed compressive forces are applied to the opposite hinged edges, while the remaining two edges are not fastened and are free from external actions. It is shown that an increase in the length ratio of the hinged and unfastened sides in close proximity to the free boundary results in the localization of eigenforms corresponding to the lowest eigenvalues.
Received 29 May 2007
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