78 A New Exact Analytical Approach for In-Plane and Transverse Vibration of Thick Laminated Plates

In this article, the governing equations of motion of thick laminated transversely isotropic plates are derived based on Reddy's third-order shear deformation theory. These equations are exactly converted to four uncoupled equations to study the in-plane and out-of-plane free vibrations of thick laminated plates without any usage of approximate methods. Based on the present analytical approach, exact Levy-type solutions are obtained for thick laminated transversely isotropic plates. The present solutions can accurately predict both the in-plane and transverse natural frequencies and mode shapes of thick laminated transversely isotropic plates.