Freeform Rigid-Foldable Structure using Bidirectionally Flat-Foldable Planar Quadrilateral Mesh
Freeform Rigid-Foldable Structure using Bidirectionally Flat-Foldable Planar Quadrilateral Mesh
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DOI：
10.1007/978-3-7091-0309-8_6
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Tomohiro Tachi
中科院分区：
文献类型：
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作者：
Tomohiro Tachi
本文提出了一种计算设计方法，以获得可折叠的刚性曲面，即连续可变形的多面体曲面，同胚到磁盘和圆柱的可折叠的变化。提出了两种新颖的技术来设计这样的表面：一种用于获得刚性可折叠和双向平坦可折叠盘表面的自由形式变化的技术，其是广义Miura-ori和蛋盒图案的混合，通过引入附加约束保持拓扑结构在整个连续变换过程中保持不变，提出了一种利用双向平折平面四边形网格对柱面几何进行推广的方法。所提出的方法产生迄今尚未实现的刚性可折叠结构的自由形式变化。这种结构形成具有两种可能的平坦状态的单自由度机构。这使得可展开结构的设计能够用于包装建筑空间的边界、空间结构等。
This paper presents a computational design method to obtain collapsible variations of rigid-foldable surfaces, ie, continuously and finitely transformable polyhedral surfaces, homeomorphic to disks and cylinders. Two novel techniques are proposed to design such surfaces: a technique for obtaining a freeform variation of a rigid-foldable and bidirectionally flat-foldable disk surface, which is a hybrid of generalized Miura-ori and eggbox patterns, and a technique to generalize the geometry of cylindrical surface using bidirectionally flat-foldable planar quadrilateral mesh by introducing additional constraints to keep the topology maintained throughout the continuous transformation. Proposed methods produce freeform variations of rigid-foldable structures that have not been realized thus far. Such a structure forms a one-DOF mechanism with two possible flat states. This enables the designs of deployable structures useful for packaging the boundary of architectural spaces, space structures, and so on.