手风琴式蜂窝材料等效弯曲和扭转刚度分析

Analysis of the Equivalent Flexural and Torsional Stiffness for Accordion Cellular Honeycomb

手风琴式蜂窝材料因其零泊松比和大应变特性,日益受到航空界的关注。将手风琴蜂窝材料等效为均质正交各向异性薄板,提出了基于能量等效原理的手风琴蜂窝材料等效弯曲刚度和等效扭转刚度的理论分析方法,得到了等效刚度系数的解析表达式,并分析了其对胞元结构参数的敏感性。建立了手风琴蜂窝板的参数化模型,并运用数值仿真反演技术,得到了手风琴蜂窝材料的等效刚度系数。通过对比等效刚度系数的理论解与反演解,表明了该理论分析方法的可行性和正确性。

The accordion cellular honeycomb has an increasing attention in the aviation industry over the last decade, because of the zero Poisson＇s ratio and high-strain capability. In this paper, the accordion cellular honeycomb is equivalent to a homogeneous orthogonal anisotropic plate. A novel analytical method for solving the equivalent flexural and torsional stiffness of the accordion cellular honeycomb was proposed based on the energy equivalence principle. And the analytical expressions of the equivalent stiffness were derived. Furthermore, the influence of the base cell structure parameters on the equivalent stiffness was studied. With the parameterized model of the accordion cellular honeycomb being established, a set of inversion method based on the numerical simulation has been used to obtain the equivalent stiffness. The comparisons between the theoretical results with the inversion results show that the present analytical method is feasible and valid.