Lin Peng, Zhang Zhiqiang, Chen Yun, Hu Dayong
Department of Biomedical Engineering, College of Engineering, Shantou University, Shantou 515063, China.
Department of Aircraft Airworthiness Engineering, School of Transportation Science and Engineering, Beihang University, Beijing 100191, China.
Polymers (Basel). 2023 Oct 12;15(20):4068. doi: 10.3390/polym15204068.
Inspired by Peano space-filling curves (PSCs), this study introduced the space-filling structure design concept to novel thin-walled sandwich structures and fabricated polymer samples by 3D printing technology. The crushing behaviors and energy absorption performance of the PSC multilayer thin-walled sandwich structures and the traditional serpentine space-filling curve (SSC) multilayer thin-walled sandwich structures were investigated using quasi-static compression experiments and numerical analysis. Taking the initial peak crushing force (), specific energy absorption (), and crushing force efficiency () as evaluation criteria, the effects of geometric parameters, including the curve order, layer height, septa thickness, and wall thickness, on energy absorption performance were comprehensively examined. The results indicated that the energy absorption capacity of the PSC structure was significantly enhanced due to its complex hierarchy. Specifically, the second-order PSC structure demonstrated a 53.2% increase in energy absorption compared to the second-order SSC structure, while the third-order PSC structure showed more than a six-fold increase in energy absorption compared to the third-order SSC structure. Furthermore, a multi-objective optimization method based on the response surface method and the NSGA-II algorithm were employed to optimize the wall thickness and layer height of the proposed novel PSC structures. The optimal solutions suggested that a reasonable wall thickness and layer height were two important factors for designing PSC structures with better energy absorption performance. The findings of this study provide an effective guide for using the space-filling concept with Peano curves for the design of a novel polymer thin-walled energy absorber with high energy absorption efficiency.
受皮亚诺空间填充曲线（PSCs）的启发，本研究将空间填充结构设计理念引入新型薄壁夹层结构，并通过3D打印技术制备了聚合物样品。采用准静态压缩实验和数值分析方法，研究了PSCs多层薄壁夹层结构和传统蛇形空间填充曲线（SSCs）多层薄壁夹层结构的压缩行为和能量吸收性能。以初始峰值压缩力（）、比能量吸收（）和压缩力效率（）为评价标准，综合考察了曲线阶数、层高、隔板厚度和壁厚等几何参数对能量吸收性能的影响。结果表明，PSCs结构因其复杂的层次结构而显著提高了能量吸收能力。具体而言，二阶PSCs结构相比二阶SSCs结构能量吸收提高了53.2%，而三阶PSCs结构相比三阶SSCs结构能量吸收提高了六倍以上。此外，采用基于响应面法和NSGA-II算法的多目标优化方法，对所提出的新型PSCs结构的壁厚和层高进行了优化。优化方案表明，合理的壁厚和层高是设计具有更好能量吸收性能的PSCs结构的两个重要因素。本研究结果为利用皮亚诺曲线的空间填充概念设计具有高能量吸收效率的新型聚合物薄壁能量吸收器提供了有效指导。
