Design and nonlinear dynamics of FG curved sandwich beams with self-adapted auxetic 3D double-V meta-lattice core

Abstract

The functionally graded (FG) curved sandwich beams with the self-adapted auxetic 3D double-V meta-lattice core and GRC (graphene reinforced composite) facesheets are designed, modeled, and analyzed to reveal their linear vibration and nonlinear dynamic behaviors. The 3D double-V meta-lattices with negative Poisson’s ratio (NPR), developed from the 2D double arrowed honeycombs, are designed that can be self-adapted to meet the spatial requirements of curved sandwich beams. Through micromechanical modeling according to the extended Halpin-Tsai model, the material properties are determined for GRC facesheets, which are further designed to have different distributions of graphene sheets along the structural radial direction, to make the whole sandwich beams possess FG configurations. By linear vibration analysis, the distinct influences of FG configurations on the fundamental natural frequencies are presented. Results from full-scale FE modeling and nonlinear analysis have shown the significant effects of structural curvature radii. The influences of beam lengths, strut radii, thicknesses of the core layer and facesheets, and charge parameters of the blast loadings are followed.