Graph-theoretic estimation of reconfigurability in origami-based metamaterials
Graph-theoretic estimation of reconfigurability in origami-based metamaterials
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DOI：
10.1016/j.matdes.2021.110343
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发表时间：
2021-07
影响因子：
8.4
通讯作者：
Koshiro Yamaguchi;H. Yasuda;Kosei Tsujikawa;Takahiro Kunimine;Jinkyu Yang
中科院分区：
文献类型：
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作者：
Koshiro Yamaguchi;H. Yasuda;Kosei Tsujikawa;Takahiro Kunimine;Jinkyu Yang
基于折纸的机械超材料由于其多功能和可重构的结构，最近受到了重大的科学兴趣。然而，当每个折纸单元可以采取多个阶段时，考虑折纸组件的所有可能的几何配置通常是具有挑战性的。在这里，我们调查的折纸为基础的细胞结构组成的波纹管状的单位细胞，特别是立浦多面体（TMP）的镶嵌的可重构性。TMP的独特之处之一是单个电池可以以刚性可折叠的方式呈现四个不同的相。因此，TMP镶嵌可以从一个原始组件实现各种形状。为了评估折纸相位组合的天文数字的几何有效性，我们建立了一个图论框架来描述单位细胞的连通性，并分析镶嵌的可重构性。我们的方法可以为开发一个系统的计算工具来设计具有定制特性的折纸基机械超材料铺平道路。
Origami-based mechanical metamaterials have recently received significant scientific interest due to their versatile and reconfigurable architectures. However, it is often challenging to account for all possible geometrical configurations of the origami assembly when each origami cell can take multiple phases. Here, we investigate the reconfigurability of a tessellation of origami-based cellular structures composed of bellows-like unit cells, specifically Tachi-Miura Polyhedron (TMP). One of the unique features of the TMP is that a single cell can take four different phases in a rigid foldable manner. Therefore, the TMP tessellation can achieve various shapes out of one original assembly. To assess the geometrical validity of the astronomical number of origami phase combinations, we build a graph-theoretic framework to describe the connectivity of unit cells and to analyze the reconfigurability of the tessellations. Our approach can pave the way to develop a systematic computational tool to design origami-based mechanical metamaterials with tailored properties.