零泊松比蜂窝芯等效弹性模量研究

Equivalent Elastic Modulus of Zero Poisson's Ratio Honeycomb Core

采用柔性悬臂梁模型和欧拉梁模型分别对零泊松比蜂窝芯斜壁板大变形条件下的弯曲变形和蜂窝芯横壁板小变形条件下的变形进行分析,推导出了零泊松比蜂窝芯面内等效弹性模量理论计算公式,并将理论计算结果和有限元仿真及力学模型实验进行对比分析。结果表明:理论计算公式正确、有效;零泊松比蜂窝芯大变形方向等效弹性模量具有明显的非线性特征;等效弹性模量的计算应根据受力方向及应变大小选择相应的计算公式进行计算;壁板之间的夹角θ对等效弹性模量的影响很大,零泊松比蜂窝结构参数可设计性较强。

A flexible cantilever beam model and Euler beam model were used to analyze zero Poisson＇s ratio honeycomb core compression deformation under the conditions of large deformation oblique wall bending deformation and horizontal siding small deformation respectively. The plane elastic modulus calculation formula of the zero Poisson＇s ratio honeycomb core were derived. Moreover, the results of theoretical calculations, finite element simulation and mechanical model experiments were also com- pared and analyzed. The results show that： theoretical formula are correct and effective; elastic modu- lus of zero Poisson＇s ratio honeycomb core in the direction of large deformation presents obvious non- linear characteristics; equivalent elastic modulus calculations are based both on the size of the strain and the direction of the force; the angle ~？ of the walls has strong influence on the calculation of equivalent elastic modulus. Therefore zero Poisson＇s ratio honeycomb structure parameters can be de- signed appropriately.