半内凹蜂窝结构的等效理论和拉伸性能研究  

RESEARCH ON THE EQUIVALENT THEORIES AND TENSION PROPERTIES OF SEMI-REENTRANT HONEYCOMB STRUCTURE

作　　者：许桢一 邬子健 常雨昕 陈嘉程 邬栋权 XU ZhenYi;WU ZiJian;CHANG YuXin;CHEN JiaCheng;WU DongQuan(Sino-European Institute of Aviation Engineering,Civil Aviation University of China,Tianjin 300300,China;Baotou Aluminium(Group)Co.,Ltd.,Baotou 014046,China)

机构地区：[1]中国民航大学中欧航空工程师学院,天津300300 [2]包头铝业(集团)有限责任公司,包头014046

出　　处：《机械强度》2024年第6期1346-1354,共9页Journal of Mechanical Strength

基　　金：天津市教委科研计划项目(2021KJ053);中国民航大学大学生创新训练计划项目(202210059117)资助。

摘　　要：半内凹蜂窝结构具有零泊松比等特性,是六边形蜂窝结构和内凹蜂窝结构组成的混合形式。因此,半内凹蜂窝单元的变形特性可以通过六边形蜂窝单元(正角度)和内凹蜂窝单元(负角度)的变形耦合获得。基于六边形蜂窝单元和内凹蜂窝单元的弯曲、拉伸、铰接和剪切变形等不同机制,考虑单元壁厚的影响,建立了半内凹蜂窝单元的变形机制,并推导出半内凹蜂窝结构的面内变形力学性能等效理论,实现对其面内不同方向弹性模量和泊松比的预测。利用有限元方法分析了几何参数(倾斜臂长l、垂直臂长h、角度α、角度β、结构厚度d和单元壁厚t)对半内凹蜂窝结构的面内拉伸性能(弹性模量和泊松比)的影响。对比有限元模拟结果与等效理论预测结果,验证了等效理论模型的有效性和准确性。对比不同等效理论预测结果,表明完善考虑不同变形机制以及壁厚影响,对于准确预测面内拉伸性能的重要性。The semi-reentrant honeycomb structure has the characteristics of zero Poisson's ratio,and is a hybrid form composed of hexagonal honeycomb structure and reentrant honeycomb structure.Therefore,the deformation characteristics of a semi-reentrant honeycomb cell can be obtained through deformation coupling of a hexagonal honeycomb cell(with a positive angle)and a reentrant honeycomb cell(with a negative angle).Based on the different mechanisms of bending,tensile,hinge,and shear deformation of hexagonal honeycomb cells and reentrant honeycomb cells,and considering the influence of the cell wall thickness,a deformation mechanism of semi-reentrant honeycomb cells was established.An equivalent theory of mechanical properties of in-plane deformation was derived to predict its elastic modulus and Poisson's ratio in different directions in the plane.The effects of geometric parameters(tilt arm length l,vertical arm length h,angle α,angle β,structure thickness d and unit wall thickness t)on in-plane tensile properties(elastic modulus and Poisson's ratio)of semi-reentrant honeycomb structure were analyzed using the finite element method.By comparing the finite element simulation results with the prediction results of the equivalent theory,the effectiveness and accuracy of the equivalent theoretical model were verified.Comparing the prediction results of different equivalent theories shows the importance of considering the effects of different deformation mechanisms and wall thickness to accurately predict in-plane tensile properties.

关 键 词：半内凹蜂窝 等效理论 有限元法 弹性模量 泊松比 拉伸性能 

分 类 号：TK225[动力工程及工程热物理—动力机械及工程]