The foldability of cylindrical foldable structures based on rigid origami

Jianguo Cai, Yuting Zhang, Yixiang Xu, Ya Zhou, Jian Feng

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26 Citations (Scopus)
118 Downloads (Pure)

Abstract

Foldable structures, a new kind of space structures developed in recent decades, can be deployed gradually to a working configuration and also can be folded for transportation, thus have potentially broad application prospects in the fields of human life, military, aerospace, building structures, and so on. Combined with the technology of origami folding, foldable structures derive more diversified models, and the foldable structures in cylindrical shape are mainly studied in this paper. Some researchers use the theory of quaternion representing spatial fixed-point rotation and construct the rotating vector model to obtain the quaternion rotation sequence method (QRS method) analyzing origami, but the method is very limited and not suitable for the cylindrical foldable structures. In order to solve the problem, a new method is developed, which combines the QRS method and the dual quaternion method. After analyzing the folding angle via the QRS method for multivertex crease system and calculating the coordinates of all vertices via the dual quaternion, the rigid foldability can be checked. Finally, two examples are carried out to confirm validity and versatility of the method.

Original languageEnglish
Article number031401
Number of pages8
JournalJournal of Mechanical Design
Volume138
Issue number3
DOIs
Publication statusPublished - 6 Jan 2016

Keywords

  • foldable structures
  • rigid origami
  • rigid foldability
  • crease system

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