Deshpande Vishrut, Phalak Yogesh, Zhou Ziyang, Walker Ian, Li Suyi
Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA, USA.
Department of Electrical Engineering and Computer Science, University of Wyoming, Laramie, WY, USA.
Philos Trans A Math Phys Eng Sci. 2024 Oct 7;382(2283):20240009. doi: 10.1098/rsta.2024.0009.
Yoshimura origami is a classical folding pattern that has inspired many deployable structure designs. Its applications span from space exploration, kinetic architectures and soft robots to even everyday household items. However, despite its wide usage, Yoshimura has been fixated on a set of design constraints to ensure its flat foldability. Through extensive kinematic analysis and prototype tests, this study presents a new Yoshimura that intentionally defies these constraints. Remarkably, one can impart a unique meta-stability by using the Golden Ratio angle ([Formula: see text]) to define the triangular facets of a generalized Yoshimura (with [Formula: see text], where [Formula: see text] is the number of rhombi shapes along its cylindrical circumference). As a result, when its facets are strategically popped out, a 'Golden Ratio Yoshimura' boom with [Formula: see text] modules can be theoretically reconfigured into [Formula: see text] geometrically unique and load-bearing shapes. This result not only challenges the existing design norms but also opens up a new avenue to create deployable and versatile structural systems.This article is part of the theme issue 'Origami/Kirigami-inspired structures: from fundamentals to applications'.
吉村折纸是一种经典的折叠图案，它启发了许多可展开结构的设计。其应用范围涵盖从太空探索、动态建筑和软体机器人到日常家居用品等领域。然而，尽管吉村折纸应用广泛，但一直受限于一组设计约束条件以确保其平面可折叠性。通过广泛的运动学分析和原型测试，本研究提出了一种有意突破这些约束的新型吉村折纸。值得注意的是，通过使用黄金比例角（[公式：见原文]）来定义广义吉村折纸（[公式：见原文]，其中[公式：见原文]是沿其圆柱周长的菱形形状数量）的三角形面，可以赋予其独特的亚稳定性。结果，当其面被巧妙地弹出时，一个具有[公式：见原文]个模块的“黄金比例吉村”吊杆理论上可以重新配置成[公式：见原文]种几何形状独特且能承受负载的形状。这一结果不仅挑战了现有的设计规范，还开辟了一条创造可展开且多功能结构系统的新途径。本文是主题为“受折纸/剪纸启发的结构：从基础到应用”的一部分。
