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.

References

References
1.
De Temmerman
,
N.
,
2007
,
Design and Analysis of Deployable Bar Structures for Mobile Architectural Applications
, Ph.D. thesis, Vrije Universiteit Brussel, Brussels, Belgium.
2.
Jensen
,
F. V.
,
2004
, “
Concepts for Retractable Roof Structures
,” Ph.D. thesis, University of Cambridge, Cambridge, UK.
3.
Chen
,
Y.
,
2003
, “
Design of Structural Mechanisms
,” Ph.D. thesis, Oxford University, Oxford, UK.
4.
Khayyat
,
H.
,
2008
, “
Conceptual Design and Mechanisms for Foldable Pyramidal Plated Structures
,” Ph.D. thesis, University of Cardiff, Cardiff, UK.
5.
Sorguc
,
A. G.
,
Hagiwara
,
I.
, and
Selcuk
,
S. A.
,
2009
, “
Origami in Architecture: A Medium of Inquiry for Design in Architecture
,”
METU JFA
,
26
(
2
), pp.
235
247
.
6.
Hagiwara
,
I.
,
2008
, “
From Origami to Origamics
,”
Sci. Jpn. J.
,
5
(
2
) pp.
22
25
.
7.
Guest
,
S. D.
,
1996
, “
Deployable Structures: Concepts and Analysis
,” Ph.D. thesis, University of Cambridge, Cambridge, UK.
8.
Miura
,
K.
,
1980
, “
Method of Packaging and Deployment of Large Membranes in Space
,”
31st Congress of International Astronautics Federation, Tokyo, Japan
, Paper No. IAF-80-A31, pp.
1
10
.
9.
Cai
,
J.
,
Deng
,
X.
,
Xu
,
Y.
, and
Feng
,
J.
,
2015
, “
Geometry and Motion Analysis of Origami-Based Deployable Shelter Structures
,”
J. Struct. Eng. ASCE
,
141
(
10
), p.
06015001
.
10.
Cai
,
J.
,
Xu
,
Y.
, and
Feng
,
J.
,
2013
, “
Geometric Analysis of a Foldable Barrel Vault With Origami
,”
ASME J. Mech. Des.
,
135
(
11
), p.
114501
.
11.
Yoshimura
,
Y.
,
1951
, “
On the Mechanism of Buckling of a Circular Cylindrical Shell Under Axial Compression and Bending
,”
Reports of the Institute of Science and Technology of the University of Tokyo [English translation: Technical Memorandum 1390 of the National Advisory Committee for Aeronautics, Washington, DC
,
1955
], Report No. NACA-TM-1390.
12.
Hunt
,
G. W.
,
Lord
,
G. J.
, and
Peletier
,
M. A.
,
2003
, “
Cylindrical Shell Buckling: A Characterization of Localization and Periodicity
,”
Discrete Contin. Dyn. Syst. B
,
3
(
4
), pp.
505
518
.
13.
Thompson
,
J. M. T.
, and
Hunt
,
G. W.
,
1984
,
Elastic Instability Phenomena
,
Wiley
,
Chichester, UK
.
14.
Foster
,
C. G.
, and
Krishnakumar
,
S.
,
1986/1987
, “
A Class of Transportable Demountable Structures
,”
Int. J. Space Struct.
,
2
(
3
), pp.
129
137
.
15.
Tonon
,
O.
,
1991
, “
Geometry of Spatial Folded Forms
,”
Int. J. Space Struct.
,
6
(
3
), pp.
227
240
.
16.
Tonon
,
O.
,
1993
,
Geometry of Spatial Structures
, Vol.
4
,
Thomas Telford
,
London, UK
, pp.
2042
2052
.
17.
De Temmerman
,
N.
,
Mollaert
,
M.
,
Van Mele
,
T.
, and
De Laet
,
L.
,
2007
, “
Design and Analysis of a Foldable Mobile Shelter System
,”
Int. J. Space Struct.
,
22
(
3
), pp.
161
168
.
18.
Thrall
,
A. P.
, and
Quaglia
,
C. P.
,
2014
, “
Accordion Shelters: A Historical Review of Origami-Like Deployable Shelters Developed by the U.S. Military
,”
Eng. Struct.
,
59
, pp.
686
692
.
19.
Quaglia
,
C. P.
,
Dascanio
,
A. J.
, and
Thrall
,
A. P.
,
2014
, “
Bascule Shelters: A Novel Erection Strategy for Origami-Inspired Deployable Structures
,”
Eng. Struct.
,
75
, pp.
276
287
.
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