Buckling of uniaxially compressed composite anisogrid lattice plate with clamped edges

Abstract

An analytical solution of the buckling problem for a uniaxially compressed composite lattice plate with the clamped edges is presented in this paper. The compressive load acting in-plane and applied to the two opposite sides of the plate induces compression in the orthogonal direction due to Poisson effect. The lattice plate composed of the diagonal and transverse ribs is modelled as an equivalent orthotropic plate with effective stiffness parameters. The deflection of buckled plate is approximated using the mode shape functions of a clamped-clamped beam. A formula providing fast and reliable way of calculation of the critical buckling load is derived and applied to the analyses of the plates with various parameters of lattice structures. The results are verified using a finite-element method. Based on these calculations, the significance of the allowance for Poisson effect is demonstrated. An estimation of the mass efficiency of the lattice plates designed for a required critical load is presented. The solution obtained in this work provides an efficient analytical tool for the design and analysis of prismatic shells composed of composite lattice panels and subjected to axial compressive loading.