Research on dynamical buckling of imperfect stiffened three-layered toroidal shell segments containing fluid under mechanical loads

Abstract

An analytical approach to the nonlinear dynamical buckling of imperfect stiffened three-layered toroidal shell segments containing fluid is performed in this paper. The toroidal shell segments are reinforced by ring and stringer stiffeners system in which the material properties of the shell are assumed to be continuously graded in the thickness direction. Based on the classical thin shell theory with geometrical nonlinearity in von Karman–Donnell sense, Stein and McElman assumption, theoretical formulations are derived with the smeared stiffeners technique. Furthermore, the dynamical pressure of the fluid is taken into account. The fluid is assumed to be non-viscous and ideally incompressible. The dynamical critical buckling loads are evaluated by the Budiansky–Roth criterion in three cases: axial compression and lateral pressure with movable and immovable boundary conditions are obtained using the Galerkin method. Moreover, effects of geometrical and material parameters, imperfection and fluid on the nonlinear dynamical buckling behavior of shells are shown in the obtained results.