具有单自由度刚性和平面可折叠性的折纸立方体
Origami Cubes with One-DOF Rigid and Flat Foldability
摘要：
刚性折纸是折纸的一个分支，具有很大的工程应用潜力，以处理刚性面板折叠。其中一个挑战是复杂折叠的多面体从刚性方面与一个单一的自由度。在本文中，我们提出了一种新的方法来设计折纸立方体的三个基本特征，刚性折叠，平面折叠和一个自由度（DOF）。已经提出了使折纸立方体具有不同的折叠性能的折痕图案的总共四种情况，其中折纸立方体的正方形面上的对角折痕的所有可能的布局。此外，基于刚性折纸和球面连杆机构之间的运动等价性，引入并分析了相应的球面连杆回路，揭示了折纸立方体的运动特性。新发现的方法可以很容易地用于设计各种工程应用，包括立方形纸箱，小卫星，集装箱等可展开结构。
英文摘要：
Rigid origami is a branch of origami with great potential in engineering applications to deal with rigid-panel folding. One of the challenges is to compactly fold the polyhedra made from rigid facets with a single degree of freedom. In this paper, we present a new method to design origami cubes with three fundamental characteristics, rigid foldability, flat foldability and one degree of freedom (DOF). A total of four cases of crease patterns that enable origami cubes with distinct folding performances have been proposed with all possible layouts of the diagonal creases on the square facets of origami cubes. Moreover, based on the kinematic equivalence between the rigid origami and the spherical linkages, the corresponding spherical linkage loops are introduced and analysed to reveal the motion properties of the origami cubes. The newly found method can be readily utilized to design deployable structures for various engineering applications including cube-shaped cartons, small satellites, containers, etc.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
