新型类方形蜂窝夹芯结构泊松比研究

Research on Poisson's Ratio of Quasi-Square Honeycomb Sandwich Structure's Core

在用经典方法推导的六边形蜂窝夹芯的等效弹性常数中,代入了类方形蜂窝特征结构参数,得到了与前述两种方法推理同样的结果,证明了类方形蜂窝结构是六边形蜂窝结构的演变体.分析了经典蜂窝理论公式中的等效泊松比及其随胞元特征角的变化规律.对比六边形蜂窝结构(正泊松比)和内凹六边形蜂窝结构(负泊松比),根据结构变化的连续性证明了类方形蜂窝夹芯结构在面内两个特定方向上泊松比为零.分析了夹芯结构泊松比为零的理论意义和物理意义.这其中,发现了蜂窝夹芯结构的泊松比存在等于零的现象.

Substituting the quasi-square honeycomb’s characteristic structure parameters into the equivalent elastic constants equation which is derived by the classical method of a hexagonal honeycomb core,the same results of the preceding both methods is obtained;so it is proved that the class square honeycomb structure is an evolution of hexagonal honeycomb.Comparing hexagonal honeycomb structure(positive Poisson’s ratio)and concave hexagonal honeycomb structure(negative Poisson’s ratio),it is proved that the quasi-square honeycomb sandwich structures’ Poisson’s ratio on two specific directions of the inner surface is zero according to the continuity of structural changes.The theoretical and physical meanings of"the Poisson ratio of the quasi-square honeycomb sandwich structure is zero"are analyzed;this is an original discovery.