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An analytical study was conducted using the Galerkin technique to determine the natural frequencies and mode shapes for symmetrically laminated rectangular plates, considering the effects of shear deformation and rotatory inertia. Two different graphite-epoxy symmetric plates were used in the analysis and three different boundary conditions for each plate, simply supported, clamped, and two opposite sides clamped/two opposite sides simply supported, were considered. Convergence characteristics, comparison to classical results, and the effects of length to thickness ratios were investigated. The finding indicated that as the length to thickness ratios were reduced («//*, b/h<3Q for the first mode), shear deformation effects significantly lowered the natural frequencies. Analysis also showed that rotatory inertia effects were very small. Convergence characteristics for all three boundary conditions were very good, and excellent agreement with the classical solutions was achieved.
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Palazotto et al. (1987) studied this question.
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