Origami tubes with reconfigurable polygonal cross-sections

被引：102

作者：

Filipov E.T. ^{[1
]}

Paulino G.H. ^{[1
,2
]}

Tachi T. ^{[3
]}

机构：

[1] Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, 61801, IL

[2] School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, 30332, GA

[3] Department of General System Studies, University of Tokyo, 3-8-1 Komaba, Meguro-Ku, Tokyo

来源：

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | 2016年 / 472卷 / 2185期

基金：

美国国家科学基金会;

关键词：

Mechanics of origami tubes; Programmable structures; Reconfigurable origami; Variable cross-section tubes;

D O I：

10.1098/rspa.2015.0607

中图分类号：

学科分类号：

摘要：

Thin sheets can be assembled into origami tubes to create a variety of deployable, reconfigurable and mechanistically unique three-dimensional structures. We introduce and explore origami tubes with polygonal, translational symmetric cross-sections that can reconfigure into numerous geometries. The tubular structures satisfy the mathematical definitions for flat and rigid foldability, meaning that they can fully unfold from a flattened state with deformations occurring only at the fold lines. The tubes do not need to be straight and can be constructed to follow a nonlinear curved line when deployed. The cross-section and kinematics of the tubular structures can be reprogrammed by changing the direction of folding at some folds. We discuss the variety of tubular structures that can be conceived and we show limitations that govern the geometric design. We quantify the global stiffness of the origami tubes through eigenvalue and structural analyses and highlight the mechanical characteristics of these systems. The two-scale nature of this work indicates that, from a local viewpoint, the crosssections of the polygonal tubes are reconfigurable while, from a global viewpoint, deployable tubes of desired shapes are achieved. This class of tubes has potential applications ranging from pipes and microrobotics to deployable architecture in buildings. © 2016 The Author(s) Published by the Royal Society. All rights reserved.

引用

共 48 条

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