Flexural Vibrations of Laminated Plate

by Jan D. Achenbach, Prof.; Dept. of Civ. Engrg., Technol. Inst., Northwestern Univ., Evanston, IL,
Tony R. Zerbe, Grad. Student; Dept. of Civ. Engrg., Technol. Inst., Northwestern Univ., Evanston, IL,


Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 3, Pg. 619-628


Document Type: Journal Paper

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.

Subject Headings: Flexural strength | Laminated materials | Plates | Vibration | Thickness | Frequency response

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