Free-Vibration Analysis of Compressed Clamped Circular Plates
Publication: Journal of Engineering Mechanics
Volume 121, Issue 12
Abstract
Small free vibrations of a thin elastic clamped circular plate under a compressive thrust applied at its edges is studied near the nonlinear static deformation state. Based on the solution of von Kármán's plate equations for the static state of circular plates, the dynamic-eigenvalue or free-vibration problem is reduced to one of solving three algebraic equations leading to an analytic solution. This is achieved by introducing a coefficient of transformation related to the eigenfunctions and presenting the algebraic homogeneous equations in terms of the eigenvalues. The natural frequency versus the applied load is derived and plotted for various values of the load. The frequency of the small vibrations vanishes at the limit load. The advantage of the proposed analytic method lies in its ability to predict and describe the stability of the static equilibrium configuration and the postbuckling path.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 12 • December 1995
Pages: 1372 - 1376
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Dec 1, 1995
Published in print: Dec 1995
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