类方形蜂窝夹芯结构力学性能研究

摘要

为了证明类方形蜂窝结构与六边形蜂窝结构之间的关系,将类方形蜂窝夹芯结构分解为特有的T字形胞元,应用Euler梁原理和能量法分别推导了T字形胞元模型的等效弹性常数公式.同时,在用经典方法推导的六边形蜂窝夹芯的等效弹性常数公式中,代入了类方形蜂窝结构的特征参数,得到了与前述2种方法相同的结果,证明了类方形蜂窝是六边形蜂窝的演变体,指出了这2个经典蜂窝公式存在的局限性和应用范围,由类方形蜂窝的结构特征,发现经典蜂窝理论公式在特征角等于零或零附近的值是奇异和不准确的.研究结果对蜂窝结构力学性能相关理论的后续研究和完善有着重要的参考价值.%In order to illustrate the relationship between the quasi-square-honeycomb structure and the hexagonal honeycomb structure,after decomposing the quasi-square honeycomb sandwich structure into unique T-shaped cell,the equivalent elastic constants equations of T-shaped cell model are derived respectively by applying Euler beam theory and energy method.At the same time,the quasi-square honeycomb's characteristic structure parameters are substituted into the equivalent elastic constants equations which are derived by the classical method of a hexagonal honeycomb core,and the same results are obtained as that of the preceding both methods.It is proved that the quasi-square-honeycomb structure is an evolution of hexagonal honeycomb. The limitations and application scope of the two classical honeycomb formulas are pointed out.The research of the structural characteristics of the square-shaped honeycomb shows that the classical cellular theoretical formula are singular and inaccurate when the feature angle values equal to zero or near zero.This study has important reference value for the subsequent research and improvement of the theories about cellular structure mechanical properties.