中文摘要：

基于最小势能原理和最小余能原理，选择比Kelsey模型所用表征单元更简化的单元为研究对象，推导出与之完全相同的蜂窝芯体面外等效弹性模量的解析表达式。采用有限元法预测一组典型商用正六边形蜂窝芯体的面外等效弹性模量，并将解析解模型预测值、有限元模型预测值与厂家公布的材料试验数据进行对比。提出一组基于解析解模型的修正公式用于预测与分析典型正六边形蜂窝芯体的面外等效弹性模量。

英文摘要：

A simplified representative unit cell compared to Kelsey model＇ s was selected, and the same analytical expressions exactly with Kelsey＇ s model were obtained based on the theorems of minimum potential energy and minimum complementary energy. Finite element analysis were conducted on the representative unit, and the equivalent out-of-plane moduli of a group of commercial hexagonal honeycomb cores with different geometries were acquired. At last, numerical results from analytical model and FEA model were compared to the experimental data published by Hexcel Corporation. A set of modified formulas based on analytical model were derived to predict and analyze the equivalent out-of-plane moduli of typical hexagonal honeycomb cores.