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Abstract：
A lattice-filled multicellular square tube features a regular cross-sectional shape, good energy consumption, and good crashworthiness, which is suitable for the design of energy absorbers in various protection fields such as automobiles, aerospace, bridges, etc. Based on the super folding theory, two reference planes are set to refine the energy consumption zone of the super folding element in this study. The energy consumption calculation of convex panel stretching is involved, and the critical crushing force formula is introduced in this study. Meanwhile, the calculation method from a single-cell square tube to a multicellular thin-walled square tube is extended and the structural optimization is investigated, in which the NSGAII algorithm is used to obtain the Pareto front (PF) of the crashworthiness performance index of the square multicellular tubes, the Normal Boundary Intersection (NBI) method is adopted to select knee points, and the influence of different cross-sectional widths on the number, as well as the thickness, of cells are discussed. This study\'s results indicate that the theoretical value is consistent with that obtained from the numerical simulation, meaning that the improved theoretical model can be applied to predict the crashworthiness of multicellular square cross-sectional tubes. Also, the optimization method and study results proposed in this study can provide a reference for the design of square lattice multicellular tubes.
摘要：
网格填充的多细胞方管具有规则的横截面形状，良好的能源消耗，和良好的耐撞性，适用于汽车等各种保护领域的能量吸收器设计，航空航天，桥梁,等。基于超级折叠理论，在本研究中，设置了两个参考平面来细化超级折叠元件的能耗区。涉及凸板拉伸的能耗计算，并介绍了临界破碎力公式。同时,扩展了从单细胞方管到多细胞薄壁方管的计算方法，并研究了结构优化，其中利用NSGAII算法获得方形多细胞管的耐撞性性能指标的Pareto前沿(PF),采用正常边界相交（NBI）方法选择拐点，以及不同横截面宽度对数量的影响，以及厚度，细胞的讨论。本研究的结果表明，理论值与数值模拟得到的值是一致的，这意味着改进的理论模型可以应用于多单元方管的耐撞性预测。此外，本研究提出的优化方法和研究结果可为方格多孔管的设计提供参考。
