Asymmetric multi-stability from relaxing the rigid-folding conditions in a stacked Miura-ori cellular solid
Asymmetric multi-stability from relaxing the rigid-folding conditions in a stacked Miura-ori cellular solid
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DOI：
10.1016/j.tws.2022.109685
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发表时间：
2021-07
影响因子：
6.4
通讯作者：
Jiayu Tao;Suyi Li
中科院分区：
文献类型：
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作者：
Jiayu Tao;Suyi Li
传统上，折纸根据其运动学设计分为两类：刚性折纸和非刚性折纸。然而，这种分类可能是肤浅的，刚性折纸可以通过有意放松刚性折叠运动学来获得新的力学性能。基于使用杆铰链方法和实验的数值模拟，本研究检查了具有不同程度的小面顺应性的堆叠三浦折纸细胞结构的多重稳定性。模拟和实验结果表明，这种细胞固体中的晶胞如果遵循刚性折纸运动学，则仅表现出两种稳定状态；然而，如果折纸面变得足够顺从，则可以达到两个更稳定的状态。此外，两个特定稳定状态之间的切换显示出不对称的能量势垒，这意味着与相反的压缩切换相比，当单元从一种状态延伸到另一种状态时，其遵循根本不同的变形路径。结果，使该单元在这两种状态之间延伸所需的反作用力可以高于压缩开关。这种不对称的多稳定性可以通过定制底层折纸设计进行微调，并且可以扩展到具有精心放置的空隙的细胞固体中。通过展示利用面顺应性的好处，这项研究可以培育传统刚性折纸无法创建的多功能结构和材料系统。
Traditionally, origami has been categorized into two groups according to their kinematics design: rigid and non-rigid origami. However, such categorization can be superficial, and rigid origami can obtain new mechanical properties by intentionally relaxing the rigid-folding kinematics. Based on numerical simulations using the bar-hinge approach and experiments, this study examines the multi-stability of a stacked Miura-origami cellular structure with different levels of facet compliance. The simulation and experiment results show that a unit cell in such cellular solid exhibits only two stable states if it follows the rigid origami kinematics; however, two more stable states are reachable if the origami facets become sufficiently compliant. Moreover, the switch between two certain stable states shows an asymmetric energy barrier, meaning that the unit cell follows fundamentally different deformation paths when it extends from one state to another compared to the opposite compression switch. As a result, the reaction force required for extending this unit cell between these two states can be higher than the compression switch. Such asymmetric multi-stability can be fine-tuned by tailoring the underlying origami design, and it can be extended into cellular solids with carefully placed voids. By showing the benefits of exploiting facet compliance, this study could foster multi-functional structures and material systems that traditional rigid origami cannot create.