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Research Papers

Motion Analysis of a Foldable Barrel Vault Based on Regular and Irregular Yoshimura Origami

[+] Author and Article Information
Jianguo Cai

Mem. ASME
Key Laboratory of C&PC Structures of
Ministry of Education,
National Prestress Engineering Research Center,
Southeast University,
Si Pai Lou 2#,
Nanjing 210096, China
e-mail: j.cai@seu.edu.cn

Xiaowei Deng

Department of Structural Engineering,
University of California,
San Diego, CA 92093
e-mail: x8deng@eng.ucsd.edu

Yixiang Xu

Department of Civil Engineering,
Strathclyde University,
Glasgow G12 8QQ, UK
e-mail: Yixiang.xu@strath.ac.uk

Jian Feng

Key Laboratory of C&PC Structures of
Ministry of Education,
National Prestress Engineering Research Center,
Southeast University,
Si Pai Lou 2#,
Nanjing 210096, China
e-mail: fengjian@seu.edu.cn

1Corresponding author.

Manuscript received April 1, 2015; final manuscript received August 29, 2015; published online November 24, 2015. Assoc. Editor: Jian S. Dai.

J. Mechanisms Robotics 8(2), 021017 (Nov 24, 2015) (9 pages) Paper No: JMR-15-1079; doi: 10.1115/1.4031658 History: Received April 01, 2015; Revised August 29, 2015; Accepted September 18, 2015

This paper investigates the geometry of a foldable barrel vault with Yoshimura Origami patterns during the motion. On the base of the geometry analysis of the origami unit, the radius, span, rise, and longitudinal length of the foldable barrel vault with regular Yoshimura Origami pattern in all configurations throughout the motion are determined. The results show that the radius of curvature and the span increase during deployment. But the rise increases first, followed by a decrease with increasing fold angle. Furthermore, the influence of the apex angle of the origami unit and the numbers of triangular plates in the span direction on the geometric parameters is also investigated. Finally, the method to obtain the rise and span of the barrel vault with irregular origami pattern is also given.

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Figures

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Fig. 3

Projection of the apex angle

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Fig. 6

Radius during the motion

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Fig. 8

Variation of rise during motion

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Fig. 9

Variation of longitudinal length during motion

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Fig. 10

Radius with different apex angles

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Fig. 7

Span during the motion

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Fig. 14

Radius with different numbers of triangular plates p

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Fig. 15

Span with different numbers of triangular plates p

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Fig. 16

Rise with different numbers of triangular plates p

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Fig. 17

Longitudinal length with different numbers of triangular plates p

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Fig. 5

A barrel vault: (a) top view in the fully unfolded state and (b) cross section in the partially foldable state

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Fig. 4

Origami pattern for a barrel vault

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Fig. 2

Basic origami unit with six creases: (a) fully unfolded configuration and (b) partially foldable configuration

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Fig. 1

The folding process of a barrel vault

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Fig. 11

Span with different apex angles

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Fig. 12

Rise with different apex angles

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Fig. 13

Longitudinal length with different apex angles

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Fig. 18

Relationship between critical value of the fold angle and apex angle β

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Fig. 19

Origami pattern with irregular units

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Fig. 20

The folding process of a barrel vault with irregular patterns

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Fig. 21

Side projection of the barrel vault during the motion

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Fig. 22

Geometric parameters of the barrel vault with irregular origami units

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