Symmetrical and Unsymmetrical Buckling Behavior Analysis of Cross-ply Laminated Shallow Shells

Abstract

In this paper, a discrete method is proposed to analyze the geometrical nonlinear problems of cross-ply laminated composite shallow shells. The discrete solutions of partial differential equations governing the geometrical nonlinear behavior of laminated shallow shells are obtained in discrete forms. By transforming the differential equations into integral equations and applying the numerical integration, the discrete solutions can be obtained. The nonlinear problems are solved by the iteration and the displacement incremental procedure.
The effects of rise-thickness ratio, boundary condition, lamina stack sequences and moduli ratio on nonlinear behavior of cross-ply laminated shallow shells are investigated. Moreover, symmetrical and unsymmetrical buckling behavior of laminated shallow shells are shown.