曲环折纸:用于魔术图案重构的双稳态弹性折叠

IF 2.6 4区 工程技术 Q2 MECHANICS
Jize Dai, Lu Lu, Sophie Leanza, J. Hutchinson, R. Zhao
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引用次数: 3

摘要

由于其令人印象深刻的包装能力,环折纸已经成为设计可折叠和可展开结构的强大策略。一般来说,几何参数设计合理的多边形环可以折叠成紧致的带弯曲段的三环构型,这是折叠状态下内部弯矩的结果。受折叠状态下内部弯矩诱导曲率的启发,我们探索了如何通过在多边形环的展开无应力状态下引入初始自然曲率来调整该曲率,并研究了该初始曲率如何影响其折叠构型。以直段多边形环折叠成重叠的弯曲环为线索,我们发现在无应力初始状态下,通过在环段中引入曲率,使环折叠成具有“零”面积的直线环状图案,可以逆转这一过程。这实现了极端包装。本文采用实验观察、有限元分析和理论建模相结合的方法,系统地研究了段曲率对不同几何形状的弯曲环折纸的折叠行为、折叠构型和填充的影响。预计曲线环折纸为折叠构型简单、包装效率高的可折叠可展开结构设计开辟了一条新途径。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Curved Ring Origami: Bistable Elastic Folding for Magic Pattern Reconfigurations
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.
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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