六韧带手性蜂窝材料韧带的冲击动荷系数及稳定性分析
Impact dynamic load coefficient and stability analysis of ligament of hexachiral honeycomb

手性蜂窝材料内部韧带的变形及失稳特性控制了该类材料的抗冲击性能。本文运用能量法和泛函数极值分析的方法，分别探讨了六韧带手性蜂窝材料在受到面内冲击时缓冲第一阶段中韧带的冲击动荷系数及韧带失稳坍塌临界压力，得到了韧带的动荷系数及其失稳临界压力的解析表达式，进而揭示手性蜂窝材料抗冲击性能的内部微结构溃塌机制和关键影响因素。结果表明：视为扭簧的韧带节点环在冲击压缩变形过程中扭转角越大，韧带的动荷系数越小，而韧带的失稳临界压力随着节点环扭转角的增大而增加。研究方法和结果可为手性蜂窝材料及其它蜂窝型材料抗冲击能力的进一步研究和微结构设计提供理论参考。 The deformation and instability characteristics of ligaments in chiral honeycomb control the impact resistance of these materials. In this paper, the impact dynamic load coefficient of ligament and the critical pressure of ligament instability in the first stage of in-plane shock buffering were discussed by means of energy method and extremum analysis of functional exponential function, then the analytical expression of the dynamic load coefficient and the critical pressure instability were obtained, and then the internal micro-structural collapse mechanism and the key influencing factors of impact resistance of the chiral honeycomb material were revealed. The results show that the larger the torsion angle of the ligament node ring, which is regarded as the torsion spring, during impact compression deformation, the smaller the dynamic load coefficient of the ligament, while the pressure of instability of the ligament increases with the torsion angle of the node ring. The research methods and results can provide reference for the further research and microstructure design of the impact resistance of chiral honeycomb materials and similar honeycomb materials. 国家自然科学基金（10972056）；福建省自然科学基金（2016 J01001）；福建农林大学科技发展基金（KF2015026；KF2015027