Curved Ring Origami: Bistable Elastic Folding for Magic Pattern Reconfigurations
Curved Ring Origami: Bistable Elastic Folding for Magic Pattern Reconfigurations
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DOI：
10.1115/1.4062221
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发表时间：
2023-03
期刊：
影响因子：
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通讯作者：
Jize Dai;Lu Lu-Lu;Sophie Leanza;J. Hutchinson;R. Zhao
中科院分区：
文献类型：
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作者：
Jize Dai;Lu Lu-Lu;Sophie Leanza;J. Hutchinson;R. Zhao
环折纸已经成为一个强大的战略，设计可折叠和可展开的结构，由于其令人印象深刻的包装能力，实现了从卡扣折叠机制。一般情况下，多边形环与合理设计的几何参数可以折叠成紧凑的三个回路配置与弯曲段，这是由于在折叠状态下的内部弯矩。受折叠状态下内部弯矩引起的曲率的启发，我们探索了如何通过将初始自然曲率引入到处于无应力状态的多边形环的段中来调整这种曲率，并研究了这种初始曲率如何影响其折叠构型。以直线分段的多边形环折叠成重叠的弯曲的循环的线索，我们发现它是可能的，以扭转的过程中引入曲率的环段在无应力的初始状态，使环折叠成一个直线的环形图案与"零"面积。这实现了极端包装。在这项工作中，通过实验观察，有限元分析和理论建模相结合，我们系统地研究了段曲率的折叠行为的影响，折叠配置，并与不同几何形状的弯曲环折纸包装。可以预见，弯曲环折纸可以打开一个新的途径，设计可折叠和可展开的结构，折叠结构简单，包装效率高。
Ring origami has emerged as a robust strategy for designing foldable and deployable structures due to its impressive packing abilities achieved from the snap-folding mechanism. In general, polygonal rings with rationally designed geometric parameters can fold into compacted three-loop configurations with curved segments, which result from the internal bending moment in the folded state. Inspired by the internal bending moment-induced curvature in the folded state, we explore how this curvature can be tuned by introducing initial natural curvature to the segments of the polygonal rings in their deployed stress-free state, and study how this initial curvature affects their folded configurations. Taking a clue from straight-segmented polygonal rings that fold into overlapping curved loops, we find it is possible to reverse the process by introducing curvature into the ring segments in the stress-free initial state such that the rings fold into a straight-line looped pattern with “zero” area. This realizes extreme packing. In this work, by a combination of experimental observation, finite element analysis, and theoretical modeling, we systematically study the effect of segment curvature on folding behavior, folded configurations, and packing of curved ring origami with different geometries. It is anticipated that curved ring origami can open a new avenue for the design of foldable and deployable structures with simple folded configurations and high packing efficiency.