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Vibration of a porouse‐cellular circular plate
Author(s) -
MagnuckaBlandzi Ewa
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610102
Subject(s) - isotropy , vibration , vibration of plates , plate theory , bending of plates , nonlinear system , plane (geometry) , mathematical analysis , homogeneous , physics , equations of motion , mechanics , symmetry (geometry) , porous medium , classical mechanics , geometry , mathematics , materials science , porosity , acoustics , optics , composite material , thermodynamics , bending , quantum mechanics
Abstract The subject of investigation is a circular porous‐cellular plate under uniform pressure. Mechanical properties of the isotropic porous cellular metal vary accross the thickness of the plate. Middle plane of the plate is its symmetry plane. Fields of diseplacements and stresses with respect the nonlinear hypothesis are described. Basing on Hamilton principle three motion equations of the plate are formulated. These equations are approximately solved. The vibration problem is reduced to the second‐order differential equation. Numerical investigations are realised for family of plates. Natural frequencies are determined. The obtained results are shown in Figures. To the end of the investigation comparition analyses with respect to homogeneous plates is presented. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)