论文标题
折纸立方体，具有一型刚性和平坦的可折叠性
Origami Cubes with One-DOF Rigid and Flat Foldability
论文作者
论文摘要
刚性折纸是折纸的一个分支，在工程应用方面具有很大的潜力来处理刚性面板折叠。挑战之一是紧凑地折叠由单个自由度的刚性方面制成的多面体。在本文中，我们提出了一种新方法，以设计具有三个基本特征，僵硬的可折叠性，平坦的可折叠性和一种自由度（DOF）的折纸立方体。总共提出了四个折痕图案，使折纸立方体具有不同的折叠性能，并在折纸立方体方形方面的对角线折痕的所有可能布局都提出。此外，基于刚性折纸与球形链接之间的运动量等效性，引入并分析了相应的球形链接环，以揭示折纸立方体的运动特性。新发现的方法可以很容易地用于为各种工程应用设计可部署的结构，包括立方体纸箱，小卫星，容器等。
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.
