Abstract
A sixth order system of equations of motion is formulated in terms of the radial and transverse displacements for axisymmetric vibrations of circular plates laminated of polar orthotropic plies. Previous results for heterogeneous isotropic circular plates are included as a special case in the present theory. It is shown that a coupling exists between extensional and flexural vibrations through the plate elastic coefficients B rr and B θθ , and an inertia term R 1. The eigenvalue problem is solved numerically, by using a finite difference method, and results are presented for various two and triple layer composites. The eigenfrequencies are found to be quite sensitive to material anisotropy and plate lay-up.
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