Abstract
This paper studies the assumption of displacements employed in the vibration analysis of laminated composite plates. For this purpose, the maximum strain and kinetic energies of a cross-ply laminated plate are evaluated analytically based on the three-dimensional theory of elasticity. The displacements of the simply-supported rectangular plates are expanded into the polynomial forms with respect to a thickness coordinate, and then governing equations are formulated by using the Ritz's method. In the numerical calculations, natural frequencies and modal damping ratios are calculated for the plates with different stacking sequence and the thickness ratios. The validity of the assumption of displacements and the applicability of the other plate theories (e. g. Classical Lamination Theory, First-order Shear Deformation Theory and Higher-order Shear Deformation Theory) to the laminated thick plates are discussed by comparing the numerical results obtained by the present method with the CLT and the FSDT solutions.
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