轴对称积木折纸:具有自锁机制和更高刚度的非扁平可折叠三浦变体

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-04-17 DOI:10.1098/rspa.2023.0956
Xiangxin Dang, Glaucio H. Paulino
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引用次数: 0

摘要

折纸芯材,尤其是折纸块芯材,已成为高性能夹层复合材料中极具潜力的组成部分。受折纸的启发,我们提出了轴对称折纸(ABO),它由矩形和梯形板组成。轴对称积木折纸继承了积木折纸的非平面可折叠性,而且还具有自锁机制和更强的刚度。ABO 的几何形状和折叠运动学与组件的几何参数和折叠角度有关。得出了自锁机制存在的数学条件。我们进行了压缩试验模拟,以证明增强的刚度和提高的承载能力。我们发现,矩形面板的存在不仅主导了 ABO 的非平面可折叠性,还有助于增强刚度。我们的研究结果表明,ABO 有可能应用于建造具有旋转对称性的承重结构。此外,我们还讨论了设计紧密组装的多层折纸结构的前景,以及由连续层错配引起的预应力,为未来的研究提供了启迪。
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Axisymmetric blockfold origami: a non-flat-foldable Miura variant with self-locking mechanisms and enhanced stiffness

Origami foldcores, especially the blockfold cores, have emerged as promising components of high-performance sandwich composites. Inspired by the blockfold origami, we propose the axisymmetric blockfold origami (ABO), which is composed of both rectangular and trapezoidal panels. The ABO inherits the non-flat-foldability of the blockfold origami, and furthermore, displays self-locking mechanisms and enhanced stiffness. The geometry and folding kinematics of the ABO are formulated with respect to the geometric parameters and the folding angle of the assembly. The mathematical conditions are derived for the existence of self-locking mechanisms. We perform compression test simulations to demonstrate enhanced stiffness and increased load-bearing capacity. We find that the existence of rectangular panels not only dominates the non-flat-foldability of the ABO, but also contributes to the enhancement of the stiffness. Our results suggest the potential applications of the ABO for building load-bearing structures with rotational symmetry. Moreover, we discuss the prospects of designing tightly assembled multi-layered origami structures with prestress induced by the mismatch of successive layers to enlighten future research.

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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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