Miura-base rigid origami: parameterizations of first-level derivative and piecewise geometries

Gattas, Joseph M., Wu, Weina and You, Zhong (2013) Miura-base rigid origami: parameterizations of first-level derivative and piecewise geometries. Journal of Mechanical Design, 135 11: . doi:10.1115/1.4025380

Author Gattas, Joseph M.
Wu, Weina
You, Zhong
Title Miura-base rigid origami: parameterizations of first-level derivative and piecewise geometries
Journal name Journal of Mechanical Design   Check publisher's open access policy
ISSN 1050-0472
Publication date 2013-11
Sub-type Article (original research)
DOI 10.1115/1.4025380
Open Access Status
Volume 135
Issue 11
Total pages 11
Place of publication New York, United States
Publisher The American Society of Mechanical Engineers
Language eng
Abstract Miura and Miura-derivative rigid origami patterns are increasingly used for engineering and architectural applications. However, geometric modelling approaches used in existing studies are generally haphazard, with pattern identifications and parameterizations varying widely. Consequently, relationships between Miura-derivative patterns are poorly understood, and widespread application of rigid patterns to the design of folded plate structures is hindered. This paper explores the relationship between the Miura pattern, selected because it is a commonly used rigid origami pattern, and first-level derivative patterns, generated by altering a single characteristic of the Miura pattern. Five alterable characteristics are identified in this paper: crease orientation, crease alignment, developability, flat-foldability, and rectilinearity. A consistent parameterization is presented for five derivative patterns created by modifying each characteristic, with physical prototypes constructed for geometry validation. It is also shown how the consistent parameterization allows first-level derivative geometries to be combined into complex piecewise geometries. All parameterizations presented in this paper have been compiled into a matlab Toolbox freely available for research purposes.
Keyword Folded plate structures
Rigid origami
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 15 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 28 Oct 2014, 15:10:15 EST by Jeannette Watson on behalf of School of Civil Engineering