Static and vibration analysis of cross-ply laminated composite doubly curved shallow shell panels with stiffeners resting on Winkler–Pasternak elastic foundations

Abstract

In this paper, the analytical solution for static and vibration analysis the cross-ply laminated composite doubly curved shell panels with stiffeners resting on Winkler-Pasternak elastic foundation is presented. Based on the first-order shear deformation theory, using the smeared stiffeners technique, the motion equations are derived by applying the Hamilton's principle. The Navier's solution for shell panel with the simply supported boundary condition at all edges is presented. The accuracy of the present results is compared with those in the existing literature and shows good achievement. The effects of the number of stiffeners, stiffener's height-to-width ratio, and number of layers of cross-ply laminated composite shell panels on the fundamental frequencies and deflections of stiffened shell with and without the elastic foundation are investigated.

Static, Free Vibration and Buckling Analysis of Composite Panels; A Review

“…The effects of the thickness ratio of the cross section on the natural frequencies and mode shapes were examined. Minh Tu Tran et al [40] carried out an analytical solution for vibration analysis of stiffened cross-ply laminated composite doubly curved shallow shell panels resting on the elastic foundation with the simply supported boundary condition by using first-order shear deformation theory. It investigates the impact of the number of stiffeners, the heightto-width ratio of stiffeners, and the number of layers of laminated composite shells on stiffened shell deflections with and without elastic foundation.…”

An analytical method for shallow spherical shell free vibration on two-parameter foundation

“…Free vibration analysis of shallow and deep ellipsoidal shells having variable thickness with and without a top opening was researched by Ko et al [8]. Static and vibration analysis of cross-ply laminated composite doubly curved shallow shell panels with stiffeners resting on Winkler-Pasternak elastic foundations was discussed by Tran et al [9]. Free Vibrations of a Ribbed Cylindrical Shell Interacting with an axisymmetric Winkler or Pasternak Foundation was studied by Yu.…”

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