Dynamic Stability of a Three-Layer Beam – Generalization of the Sandwich Structures Theory

Abstract

The subject of the study is a simply supported three-layer beam of the length L, width b and total depth h subjected to a pulsating axial force (Fig.1). The individual hypothesis-theory of deformation of the plane cross section is assumed for the purpose of modelling of the beam with consideration of the shear effect in the layers. The hypothesis is a generalization of the classical sandwich theory – broken line hypothesis (Fig.2).