Geometric Analysis of a Foldable Barrel Vault With Origami-Reference-Cited by-同舟云学术

Geometric Analysis of a Foldable Barrel Vault With Origami

Published:2013-09-24 Issue:11 Volume:135 Page:
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Cai Jianguo¹,Xu Yixiang²,Feng Jian³

Affiliation:

1. Lecturer Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China e-mail:

2. Lecturer Department of Civil Engineering, Strathclyde University, Glasgow G12 8QQ, UK e-mail:

3. Professor Key Laboratory of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China e-mail:

Abstract

This paper investigates the geometry of a foldable barrel vault with modified Miura-ori patterns, which displays a curvature during the motion. The principal of spherical trigonometry was used to obtain the relationship of the inclined angles between adjacent folded papers of Miura-ori. Then, the radius, span, rise, and longitudinal length of the foldable barrel vault in all configurations throughout the motion are determined. The results show that the radius of curvature grows exponentially and the span increases during deployment. Furthermore, the rise increases first, followed by a decrease with increasing deployment angle.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/doi/10.1115/1.4025369/6223916/md_135_11_114501.pdf

Reference21 articles.

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2. De Temmerman, N., 2007, “Design and Analysis of Deployable Bar Structures for Mobile Architectural Applications,” Ph.D. thesis, Vrije Universiteit Brussel, Brussels, Belgium.

3. Design and Analysis of a Foldable Mobile Shelter System;Int. J. Space Struct.,2007

4. Miura, K., 1980, “Method of Packaging and Deployment of Large Membrane in Space,” Proceedings of the 31st Congress of International Astronautical Federation, Tokyo, Japan, pp. 1–10.

5. An Overview of Mechanisms and Patterns With Origami;Int. J. Space Struct.,2012

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