Abstract

A generalized mixed variational formula based upon Hamilton's principle is obtained by using Legender's transformation and Lagrange's multipliers. It is generally used to deduce the governing equations for laminated composite structures. A rational higher-order displacement- based 2D theory for the analysis of laminated plates is presented. This theory is established using the generalized mixed variational formula to study the vibration behavior of symmetric laminated orthotropic plates subjected to normal traction fields. Fundamental frequencies are obtained according to the classical, first- and higher-order plate theories. The effects of boundary conditions, transverse shear, aspect ratio, and materials anisotropy on natural frequencies are investigated. Results are compared with other exact results available in the literature.

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