Frequency of Functionally Graded Plates with Three-Dimensional Asymptotic Approach
Publication: Journal of Engineering Mechanics
Volume 129, Issue 8
Abstract
The harmonic vibration problem of functionally graded plates is studied by means of a three-dimensional asymptotic theory formulated in terms of transfer matrix. Instead of using multiple time scales expansion, the frequency is determined in a much simpler way that renders the asymptotic method to be practically validated for finding any higher-order solutions. This is illustrated by applying the refined formulation to a functionally graded rectangular plate with simply supported edges. The locally effective material properties are estimated by the Mori–Tanaka scheme. Accurate natural frequencies associated with flexural, extensional, and thickness-stretching modes are provided.
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Published In
Journal of Engineering Mechanics
Volume 129 • Issue 8 • August 2003
Pages: 896 - 900
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Oct 25, 2000
Accepted: Mar 18, 2003
Published online: Jul 15, 2003
Published in print: Aug 2003
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