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Localization of eigenforms and limit transformations in problems of the stability of rectangular plates
Authors:N.V. Banichuk  A.A. Barsuk
Affiliation:1. Instituto de Investigación y Desarrollo en Ingeniería de Procesos, Biotecnología y Energías Alternativas, PROBIEN, Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina – Universidad Nacional del Comahue, Buenos Aires 1400, (8300), Neuquén, Argentina;2. Facultad de Ciencias Médicas, Universidad Nacional del Comahue, Argentina;3. Centro de Investigación y Asistencia Técnica a la Industria (CIATI) – CONICET, Argentina;4. Facultad de Ciencias Agrarias, Universidad Nacional del Comahue, Argentina
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.
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