对于六边形蜂窝芯体,其面内等效参数具有确定的解析式,便于应用;相比之下,对于面外等效剪切模量,现有工作只能给出其上下限,由于没有确定的取值,给工程计算带来了困扰.为克服这一矛盾,论文通过Y型蜂窝胞元,针对薄面板的情况,重新分析了芯材的面外等效剪切模量.针对直壁板与斜壁板厚度为1:1和2:1的情况,给出了近似的弹性力学解答,并由此确定出面外等效剪切模量的上限.论文方法所确定的剪切模量的上限与文献给出的剪切模量的下限是相同的,从而使该模量也具有确定的解析表达式,方便了数值计算和分析.试验数据和有限元数值分析均验证了论文结论的正确性.
For the hexagonal honeycombs, their equivalent in-plane elastic moduli are determinate; however,only the lower and upper bounds are obtained for their equivalent transverse shear moduli. The lack of determinate solution for these transverse shear moduli causes many troubles for their applications in engineering. For this reason,the transverse shear moduli of a honeycomb sandwich panel under the influence of the thin face panel are solved in this contribution. Based on the Y-shaped representative unit cell, the upper bound of hexagonal honeycomb,which is equal to the lower limit of Gibson and Kelseys formula,is obtained when the ratio of the thickness of the central wall to the inclined wall is 1 " 1 and 2 " 1. Comparisons with the experimental data and finite element analysis show that the present theoretical solution can predict accurately the equivalent shear modulus of honeycomb cores.