Design of compliant mechanisms for origami metamaterials
Design of compliant mechanisms for origami metamaterials
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DOI：
10.1007/s10409-023-23169-x
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发表时间：
2023-07
影响因子：
3.5
通讯作者：
Yasuhiro Miyazawa;H. Yasuda;Jinkyu Yang
中科院分区：
文献类型：
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作者：
Yasuhiro Miyazawa;H. Yasuda;Jinkyu Yang
折纸作为一种折纸艺术，几个世纪以来一直被艺术家们广泛探索。直到最近几十年，它才因其复杂的几何结构和丰富的力学性能而受到数学家和工程师的关注。以折纸为灵感的超材料的激增，为设计材料和结构打开了一扇新的窗口。通常，为了建立折纸结构，一张材料被根据标记有顺应机构的折线折叠。然而，尽管它们在折纸制造中很重要，但在折纸超材料的背景下，这种顺应性机制相对来说还没有被探索过。在这项研究中，我们探讨了柔顺机构的设计参数与折纸机械性能之间的关系。特别是，我们采用了单铰折痕和Kresling折纸，刚性和非刚性折纸单位的典型例子，使用双针穿孔顺应机构设计制造。我们使用不同的折痕参数进行轴向压缩试验，并将结果拟合到由轴向弹簧和扭转弹簧组成的杆-铰链折纸模型中。利用高斯过程回归提取了弹性系数与折痕参数之间的关系。我们的结果表明，折痕参数的变化对每个弹簧元件的贡献是非常不同的，这表明柔顺机构的精细可调性取决于变形模式。特别是，对于刚性折纸和非刚性折纸，弹簧刚度随折痕参数的变化不同，即使调整了相同的折痕参数也是如此。此外，我们报道了Kresling折纸的定性静态响应可以在单稳态和双稳态之间调节，或者线性和非线性之间的调节，只需改变折痕参数而保持相同的折叠图案几何形状。我们相信，我们的汇编结果为选择折纸机械超材料的顺应机制提供了一个库和指南。
As an art of paper folding, origami has been widely explored by artists for centuries. Only in recent decades has it gained attention from mathematicians and engineers for its complex geometry and rich mechanical properties. The surge of origami-inspired metamaterials has opened a new window for designing materials and structures. Typically, to build origami structures, a sheet of material is folded according to the creaselines that are marked with compliant mechanisms. However, despite their importance in origami fabrication, such compliant mechanisms have been relatively unexplored in the setting of origami metamaterials. In this study, we explore the relationship between the design parameters of compliant mechanisms and origami mechanical properties. In particular, we employ single hinge crease and Kresling origami, representative examples of rigid and non-rigid origami units, fabricated using a double-stitch perforation compliant mechanism design. We conduct axial compression tests using different crease parameters and fit the result into the bar-hinge origami model consisting of axial and torsional springs. We extract the relationship between the spring coefficients and crease parameters using Gaussian process regression. Our result shows that the change in the crease parameter contributes significantly to each spring element in a very different manner, which suggests the fine tunability of the compliant mechanisms depending on the mode of deformation. In particular, the spring stiffness varies with the crease parameter differently for rigid and non-rigid origami, even when the same crease parameter is tuned. Furthermore, we report that the qualitative static response of the Kresling origami can be tuned between monostable and bistable, or linear and nonlinear, by only changing the crease parameter while keeping the same fold pattern geometry. We believe that our compiled result proffers a library and guidelines for choosing compliant mechanisms for the creases of origami mechanical metamaterials.