Designing of self-deploying origami structures using geometrically misaligned crease patterns
Designing of self-deploying origami structures using geometrically misaligned crease patterns
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DOI：
10.1098/rspa.2015.0235
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Kazuya Saito;Akira Tsukahara;Y. Okabe
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文献类型：
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作者：
Kazuya Saito;Akira Tsukahara;Y. Okabe
通常，基于折纸的变形结构是在“刚性折叠”的前提下设计的，即折纸的面和折线可以分别用刚性面板和理想铰链代替。从结构力学的观点来看，一些刚性可折叠折纸模型存在过度约束和负自由度的问题。在这些情况下，折痕图案的奇异性保证了它们的刚性可折叠性。本文提出了一种利用几何错位折痕设计自展开折纸的新方法。在这种方法中，一些面被“孔”取代，这样系统就变成了1-d - f。机制。这些穿孔折纸模型可以折叠和展开类似于刚性折纸模型（没有错位），因为它们的d.f.聚焦在被移除的面，孔将根据剩余部分的框架运动而变形。在该方法中，这些孔洞被弹性零件填充，并存储弹性能量以进行自展开。首先，提出了一种新的扩展刚性折叠模拟技术来估计孔洞的变形。然后，将该方法应用于任意尺寸的四边形网格折纸。最后，采用有限元方法进行了数值模拟，验证了模型的部署能力。
Usually, origami-based morphing structures are designed on the premise of ‘rigid folding’, i.e. the facets and fold lines of origami can be replaced with rigid panels and ideal hinges, respectively. From a structural mechanics viewpoint, some rigid-foldable origami models are overconstrained and have negative degrees of freedom (d.f.). In these cases, the singularity in crease patterns guarantees their rigid foldability. This study presents a new method for designing self-deploying origami using the geometrically misaligned creases. In this method, some facets are replaced by ‘holes’ such that the systems become a 1-d.f. mechanism. These perforated origami models can be folded and unfolded similar to rigid-foldable (without misalignment) models because of their d.f. focusing on the removed facets, the holes will deform according to the motion of the frame of the remaining parts. In the proposed method, these holes are filled with elastic parts and store elastic energy for self-deployment. First, a new extended rigid-folding simulation technique is proposed to estimate the deformation of the holes. Next, the proposed method is applied on arbitrary-size quadrilateral mesh origami. Finally, by using the finite-element method, the authors conduct numerical simulations and confirm the deployment capabilities of the models.