Buckling of uniaxially compressed composite anisogrid lattice cylindrical panel with clamped edges

An analytical solution of the buckling problem for a uniaxially compressed composite lattice cylindrical panel with the clamped edges is presented in this paper. The compressive load applied to the two opposite curved sides of the panel induces compression in the circumferential direction due to Poisson effect which is taken into account in this study. The lattice panel composed of the helical and hoop ribs is modelled as an equivalent orthotropic cylindrical panel with effective stiffness parameters. The deflection of buckled panel is described using the equations of the engineering theory of orthotropic cylindrical shells. The buckling equations are solved using the Galerkin method in which the displacements and deflection of the panel are approximated by the mode shape functions of a clamped-clamped beam. An analytical formula providing fast and reliable way of calculation of the critical buckling load is derived and applied to the analyses of the composite anisogrid panels with various parameters of lattice structures. The results are verified using a finite-element method. The mass efficiency of the lattice panels designed for a required critical load is analysed.