Dynamic Buckling of Stiffened FG-GRC and FG-GPLRC Cylindrical and Toroidal Shell Segments under Axial Compression

Abstract

This study focuses on analyzing the dynamic buckling behavior of axially compressed cylindrical shells and toroidal shell segments made of functionally graded graphene reinforced composite (FG-GRC) and functionally graded graphene platelet reinforced composite (FG-GPLRC). These structures are stiffened by orthogonal and spiral stiffeners, which are also made of the corresponding FG-GRC and FG-GPLRC. The fundamental expressions and equations are established based on Donnell shell theory, taking into account von Kármán geometrical nonlinearity. The extended smeared stiffener technique is utilized to estimate the stiffness contributions of the stiffenersBy using the stress function approach and the energy method, the equation of motion is derived and subsequently solved using the Runge-Kutta method. The dynamic critical buckling loads are determined according to the Budiansky-Roth criterion. Numerical results are presented to investigate the effects of stiffeners, geometric, and material parameters on the dynamic buckling behavior of the shells.