正六角形蜂窝芯层面内等效弹性参数研究

A Study On In-plane Equivalent Elastic Parameters of Right Hexagonal Honeycomb Core

由于蜂窝芯层结构在外载作用下,蜂窝胞元壁板不但会产生弯曲变形,而且也会产生伸缩变形和剪切变形。过去Gibson公式在计算蜂窝芯层等效参数时只考虑了弯曲变形,虽然简便,但在导致蜂窝芯层分析时,弹性矩阵会出现不确定性;后来,宋明慧公式在Gibson公式的基础上,进一步考虑了伸缩变形的影响,但由于没有考虑剪切变形的影响,导致的蜂窝芯层结构不稳定,而且简化的弹性矩阵会出现奇异。该文新推导的面内等效弹性参数理论计算公式考虑了弯曲变形、伸缩变形和剪切变形对面内等效刚度的影响,是对Gibson和宋明慧公式的修正,克服了他们公式上的缺陷。

The deformation of bending,stretching and shearing arises in the cell walls composed of honeycomb core when the core subjected to out-of-plane loading（perpendicular to right hexagonal cell plane）.In the previous studies on the equivalent elastic parameters,the Gibson＇s results include only the bending deformation of the cell walls.They are clearer and easier-to-use,but indeterminacy of the elastic matrix of materials is caused in the numerical analysis of the honeycomb core.Later,Song modifies the Gibson＇s results and considers further the stretching deformation in his formulae.However,his results lead to the unstable honeycomb core and the singular elastic matrix of materials.In this paper,new results of equivalent elastic parameters for right hexagonal honeycomb core are rigorously derived from the theory of material mechanics.The new formulae considers all bending,stretching and shearing deformations and overcome drawbacks of the previous results.