Vibration of Thick Rectangular Plates of Bimodulus Composite Material

[+] Author and Article Information
C. W. Bert, J. N. Reddy, W. C. Chao, V. S. Reddy

School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019

J. Appl. Mech 48(2), 371-376 (Jun 01, 1981) (6 pages) doi:10.1115/1.3157625 History: Received June 01, 1980; Revised October 01, 1980; Online July 21, 2009


A finite-element analysis is carried out for small-amplitude free vibration of laminated, anisotropic, rectangular plates having arbitrary boundary conditions, finite thickness shear moduli, rotatory inertia, and bimodulus action (different elastic properties depending upon whether the fiber-direction strain is tensile or compressive). The element has five degrees of freedom, three displacements and two slope functions, per node. An exact closed-form solution is also presented for the special case of freely supported single-layer orthotropic and two-layer, cross-ply plates. This solution provides a benchmark to evaluate the validity of the finite-element analysis. Both solutions are compared with numerical results existing in the literature for special cases (all for ordinary, not bimodulus, materials), and good agreement is obtained.

Copyright © 1981 by ASME
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