基于灰关联熵理论的蜂窝纸板面内承载机理及性能影响分析

In-plane Bearing Mechanism and Performance Analysis of Honeycomb Paperboard Based on Grey Relation Entropy Theory

蜂窝纸板面内承载机理较为复杂,开展其承载机理、特性研究可为蜂窝纸板优化设计及工程应用提供重要的技术基础。本工作基于不同材料参数和不同结构参数的蜂窝纸板面内承载试验,分析其面内承载机理,在此基础上应用灰关联熵理论对蜂窝纸板面内承载力影响因素进行评价,得出面纸定量、蜂窝孔径和纸板厚度对承载性能的影响。结果表明:在纵向和横向承载中,芯层和面层屈曲分别呈现不同的规律性变形。面纸性能、纸板厚度对蜂窝纸板弹性模量影响较大,面纸性能、孔径尺寸、纸板厚度对平台应力影响均较为显著;灰关联熵理论适用于蜂窝材料小样本分析,面纸性能影响下的平台应力灰关联熵值最大,是影响蜂窝纸板面内平台应力的最主要因素。

The in-plane bearing mechanism of honeycomb paperboard is complex. The research on its bearing mechanism and characteristics will provide an important technical basis for the optimization design and engineering application of honeycomb paperboard. Based on the in-plane bearing tests of honeycomb paperboard with different material and structure parameters, the in-plane bearing mechanism of honeycomb paperboard was preliminarily analyzed in this work. The influencing factors of in-plane bearing capacity of honeycomb paperboard were evaluated based on the grey relation entropy theory, the primary-secondary relationship and the influence degree of the face paper property, honeycomb core and paperboard thickness were obtained. The results show that the buckling of the core layer and the face layer presents different regularity in the machine and cross direction loads. The factors of face paper property and paperboard thickness have great influence on the elastic modulus of honeycomb paperboard, and the factors of face paper property, core size and paperboard thickness have significant influence on the platform stress. Grey relation entropy theory is suitable for small sample analysis, such as honeycomb materials. The grey relation entropy value is the largest on platform stress under the influence of face paper performance, so face paper property is the most important factor on affecting the in-plane platform stress of honeycomb paperboard.