Edge Vibrations in Laminated Composite Plates

[+] Author and Article Information
S. B. Dong

Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024

K. H. Huang

Department of Basic Sciences, Tianjin University, Tianjin, People’s Republic of China

J. Appl. Mech 52(2), 433-438 (Jun 01, 1985) (6 pages) doi:10.1115/1.3169065 History: Received February 01, 1983; Revised August 01, 1984; Online July 21, 2009


Plane strain edge vibrations or end modes in laminated composite plates are investigated by means of finite elements. This method is capable of modeling the behavior of any laminate construction whose properties are completely anisotropic within the plane. Two eigenvalue problems involving nonsymmetric matrices are derived. The form of each eigenvalue problem depends on the parameter chosen for the eigenvalue, i.e., either the frequency or the axial wave number. Orthogonality relations are discussed. Examples on two four-ply composite plates are given as illustrations. The analogy of the analysis procedure as the dynamic counterpart of the quantitative measure of Saint-Venant’s principle is called to attention.

Copyright © 1985 by ASME
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