Structure, Design, and Mechanics of a Pop-Up Origami with Cuts
Structure, Design, and Mechanics of a Pop-Up Origami with Cuts
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DOI：
10.1103/physrevapplied.17.l021004
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发表时间：
2021-05
影响因子：
4.6
通讯作者：
Taiju Yoneda;Yoshinobu Miyamoto;H. Wada
中科院分区：
文献类型：
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作者：
Taiju Yoneda;Yoshinobu Miyamoto;H. Wada
旋转安装系统 (RES) 代表一种基于折纸的设计方法，用于在不压缩的情况下从平面板材生成三维 (3D) 结构。其旋转和平移运动学完全以规定的切割和折叠的形式编码，在几何极限下只有零自由度。在这里，我们通过结合有限元数值模拟和物理实验来表征三重对称RES的机械和几何特性。我们证明，RES 中的板弯曲创建了一条连接两种能量分离配置（即平坦状态和站立状态）的物理路径，从而允许 RES 通过快速过渡转变为 3D 形状。我们量化了双稳态的能垒，并表明它与结构的整个跨度无关，而仅取决于其纵横比，这表明 RES 的双稳态本质上与尺度无关。新兴双稳态的无标度和可调性质将在一系列应用中潜在有用，包括开关装置、能量吸收机械系统和建筑中的一步构建。本研究阐明了基于折纸的可展开结构的基本驱动机制，该结构通过手性图案切割扩展，为在一系列人造系统中使用优化设计的RES开辟了道路。
Rotational erection system (RES) represents an origami-based design method for generating a three-dimensional (3D) structure from a planar sheet without compression. Its rotational and translational kinematics is fully encoded in a form of prescribed cuts and folds that has only zero degrees of freedom in the geometric limit. Here we characterize mechanical and geometric properties of a threefold symmetric RES by combining finite element numerical simulation and physical experiment. We demonstrate that a plate bending in RES creates a physical route connecting the two energetically separated configurations, i.e., flat and standing states, allowing RES to morph into a 3D shape via a snap-through transition. We quantify the energy barrier for the bistability and show that it is independent of the entire span of the structure but depends only on its aspect ratio, indicating that the bistability of RES is essentially scale independent. The scale-free and tunable nature of the emergent bistability will be potentially useful in a range of applications including switching devices, energy-adsorbing mechanical systems, and one-step construction in architectures. The present study clarifies the basic actuation mechanism of an origami-based deployable structure extended with chiral patterned cuts, opening up the way for the use of optimally designed RES in a range of man-made systems.