Vibration and Stability of Thick Plates on Elastic Foundations
Publication: Journal of Engineering Mechanics
Volume 126, Issue 1
Abstract
Natural frequencies and buckling stresses of a thick isotropic plate on two-parameter elastic foundations are analyzed by taking into account the effect of shear deformation, thickness change, and rotatory inertia. Using the method of power series expansion of the displacement components, a set of fundamental dynamic equations of a two-dimensional, higher-order theory for thick rectangular plates subjected to in-plane stresses is derived through Hamilton's principle. Several sets of truncated approximate theories are used to solve the eigenvalue problems of a simply supported thick elastic plate. To assure the accuracy of the present theory, convergence properties of the minimum natural frequency and the buckling stress are examined in detail. The distribution of modal transverse stresses are obtained by integrating the three-dimensional equations of motion in the thickness direction. The present approximate theories can accurately predict the natural frequencies and buckling stresses of thick plates on elastic foundations as compared with Mindlin plate theory and classical plate theory.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 1 • January 2000
Pages: 27 - 34
History
Received: Nov 23, 1998
Published online: Jan 1, 2000
Published in print: Jan 2000
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