基于刚性与非刚性Square-Twist胞元混合排布的折纸超材料设计与性能编程研究
马家耀 , 臧世玺 , 陈焱 , 由衷
工程(英文) ›› 2022, Vol. 17 ›› Issue (10) : 82 -92.
基于刚性与非刚性Square-Twist胞元混合排布的折纸超材料设计与性能编程研究
The Tessellation Rule and Properties Programming of Origami Metasheets Built with a Mixture of Rigid and Non-Rigid Square-Twist Patterns
相比由完全相同的胞元组成的超材料,由类型和性能均不同的胞元形成的超材料能够实现更大的力学性能调控范围。然而,目前关于此种超材料的几何设计和性能编程方法鲜有报道。本文通过将一系列不同类型的square-twist 折纸胞元进行空间排布,设计了一种新型折纸超材料。首先建立了超材料胞元的空间排布规则,保证了相邻胞元山-谷线折痕的几何匹配。进而进行了双轴拉伸实验,实验结果表明该新型超材料的变形能、最大刚度和初始峰值力均可由组成胞元的对应特性叠加得到,并且通过改变胞元类型、数量、几何参数、材料参数可以实现对超材料力学性能的大范围编程调控。此外,对具有固定胞元数量的超材料,通过改变山-谷线折痕的排布可以得到胞元类型与数量不同的一系列超材料,从而实现根据具体需求的力学性能重编程。本工作为可编程折纸超材料的设计提供了新的思路,在机械等工程领域具有广阔的应用前景。
Metamaterials constructed from origami units of different types and behaviors could potentially offer a broader scope of mechanical properties than those formed from identical unit types. However, the geometric design rules and property programming methods for such metamaterials have yet to be extensively explored. In this paper, we propose a new kind of origami metasheet by incorporating a family of different square-twist units. The tessellation rule of these metasheets is established to allow compatible mountain–valley crease assignments and geometric parameters among neighboring units. We demonstrate through experiments that the energy, initial peak force, and maximum stiffness of the metasheets can be obtained by a summation of the properties of the constitutional units. Based on this, we are able to program the mechanical properties of the metasheets over a wide range by varying the types and proportions of the units, as well as their geometric and material parameters. Furthermore, for a metasheet with a fixed number of units, all the geometrically compatible tessellations can be folded out of the same pre-creased sheet material by simply changing the mountain–valley assignments, thereby allowing the properties of the metasheet to be re-programmed based on specific requirements. This work could inspire a new class of programmable origami metamaterials for current and future mechanical and other engineering applications.
折纸超材料 / 超材料 / square-twist折纸 / 非周期性排布 / 可编程性
Origami metamaterials / Metasheets / Square-twist pattern / Non-periodic tessellation / Programmability
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