Study of Transverse Bending of a Honeycomb Three-Layer Panel with a Circular Axis

Abstract

The model of transverse bending of a honeycomb three-layer panel with a circular axis is reduced to the design scheme of a three-layer beam with a circular axis and a shear-responsive core. Differential equations are obtained from the condition of stationarity of the functional from displacements of the three-layer beam; these equations allow one to investigate transverse bending while taking into account the variability of shear deformations along the thickness of the core. Transverse forces in load-bearing layers (shells) were found from the equilibrium condition of the selected beam element. The limits of the applicability of the proposed method are estimated.