The design of three-dimensional (3D) honeycomb structure has been widely concerned in recent years. In this paper, the traditional hexagonal honeycomb structure and the concave circular-arc honeycomb structure were combined by the parallel method, and a 3D sinusoid-parallel-hybrid honeycomb (SPHH) structure based on the negative Poisson's ratio of elastic jump was designed. The mechanical analysis of the 3D honeycomb structure was conducted through the utilization of the finite element modeling (FEM) in conjunction with an experimental platform, and the study focused on analyzing the dynamic response of honeycomb sandwich panels subjected to low-speed impacts. The experimental results agreed well with the FEM results. By comparing the concave-parallel-hybrid honeycomb (CPHH) structure, the arc-parallel-hybrid honeycomb (APHH) structure, the SPHH structure has better mechanical properties, and the SPHH sandwich panel has better energy absorption and impact resistance characteristics. The energy absorption properties and shock resistance of the SPHH sandwich panels can be improved by adding the parameter t3 and honeycomb cell filling, and the rigidity of the SPHH panel can be improved better. At a shock load of 10 J, the increase of arc radius R doesn't obviously influence for dynamic response of the SPHH panel structure, but at a shock load of 25 J, different arc radius significantly affects the energy absorption and shock resistance properties of the SPHH sandwich panels. It can improve the energy absorption characteristics and shock resistance by increasing the arc radius of the SPHH honeycomb cell.
This paper presents a unique analytical layerwise solution for functionally graded magneto-electric-elastic shell with complex geometry. The middle surface of the shell is modeled by a parametric equation and the Lamé parameter and radii of curvature is modeled by Differential Geometry. The mechanical displacements, electrical and magnetic potentials are written in term of a simple cosine layerwise based on a unified formulation. The highly coupled differential equations are discretized by the Chebyshev-Gauss-Lobatto grid points and solved numerically via the Differential Quadrature Method (DQM). Lagrange interpolation polynomials are employed as the basis functions. The highly coupled differential equations are solved for shells subjected to different loads and boundary conditions. Since extremely few results on this topic is available in the literature, benchmarks complex shell problems and their solutions are introduced in this paper for the very first time.