An Efficient and Simple Higher Order of Shear Deformation Theory for Static and Free Vibration of Laminated Composite Plates

Abstract

In the present study, the static and free vibration of laminated composite plates is examined by using a refined shear deformation theory and developed for a bending analysis of orthotropic laminated composite plates. These models take into account the parabolic distribution of transverse shear stresses and satisfy the condition of zero shear stresses on the top and bottom surfaces of the plates. The most interesting feature of this theory is that it allows for parabolic distributions of transverse shear stresses across the plate thickness and satisfies the conditions of zero shear stresses at the top and bottom surfaces of the plate without using shear correction factors. The quantity of independent unknowns in the present theory is four, as against five in other shear deformation theories. In the investigation, the condition of motion for simply supported thick laminated rectangular plates is obtained through the use of Hamilton’s principle. The accuracy of the analysis presented is demonstrated by comparing the results with solutions derived from other higher-order models and with data found in the literature. The theory proposed is not only accurate, but also efficient in predicting the natural frequencies of laminated composite plates.