Static and free vibration analysis of laminated sandwich shell with double curvature considering the effect of transverse normal strain

Abstract

Abstract. For the static bending analysis of sandwich spherical shells, higher-order closed-form solutions are provided in the current study based on a new hyperbolic shell theory considering the effects of transverse normal strain. A shell consists of three layers wherein the top and the bottom layers (face sheets) are made up of hard material and the middle layer (core) is made up of soft material. The governing equations and associated boundary conditions of the theory are produced by employing the principle of virtual work. Semi-analytical closed-form solutions for the static problem are produced by the Navier technique for simply supported boundary conditions of the shell. The present results are compared with results that have already been published in order to confirm the accuracy and efficacy of the current higher-order hyperbolic shell theory.