Geometric analysis of a foldable barrel vault with origami

Jianguo Cai, Yixiang Xu, Jian Feng

Research output: Journal PublicationArticlepeer-review

13 Citations (Scopus)


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.

Original languageEnglish
Article number114501
JournalJournal of Mechanical Design, Transactions Of the ASME
Issue number11
Publication statusPublished - 2013
Externally publishedYes


  • Miura-ori
  • deployable structures
  • foldable barrel vaults
  • geometric analysis
  • origami

ASJC Scopus subject areas

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


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