Research Article
Jun 1971
Flexural Vibrations of Laminated Plate
Authors: Jan D. Achenbach and Tony R. ZerbeAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 3
Abstract
The flexural vibrations of a laminated plate are investigated by analysis and experiment. The mechanical behavior of the layered medium is represented by a homogeneous, transversely isotropic continuum whose effective material constants are computed in terms of the material constants and the thicknesses of the layers. An asymptotic method is employed to compute the frequency of the lowest flexural mode as a power series of the dimensionless wavenumber. Since the laminated plate is relatively easy to deform in thickness shear the frequency deviates at relatively small wavenumbers from the classical parabolic curve. For a two-term expansion the analytical results are compared with the experimental data and good agreement is found.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 3 • June 1971
Pages: 619 - 628
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Jun 1971
Published online: Feb 3, 2021
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Authors
Affiliations
Jan D. Achenbach
Prof., Dept. of Civ. Engrg., The Technological Inst., Northwestern Univ., Evanston, Ill
Tony R. Zerbe
Grad. Student, Dept. of Civ. Engrg., The Technological Inst., Northwestern Univ., Evanston, Ill
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