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.
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Research-Article
The Foldability of Cylindrical Foldable Structures Based on Rigid Origami
Jianguo Cai
,
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-mails: j.cai@seu.edu.cn; caijg_ren@hotmail.com
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-mails: j.cai@seu.edu.cn; caijg_ren@hotmail.com
Search for other works by this author on:
Yuting Zhang
,
Yuting Zhang
Search for other works by this author on:
Yixiang Xu
,
Yixiang Xu
Department of Civil Engineering,
Strathclyde University,
Glasgow G12 8QQ, UK
e-mail: Yixiang.xu@strath.ac.uk
Strathclyde University,
Glasgow G12 8QQ, UK
e-mail: Yixiang.xu@strath.ac.uk
Search for other works by this author on:
Ya Zhou
,
Ya Zhou
Search for other works by this author on:
Jian Feng
Jian Feng
Search for other works by this author on:
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-mails: j.cai@seu.edu.cn; caijg_ren@hotmail.com
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-mails: j.cai@seu.edu.cn; caijg_ren@hotmail.com
Yuting Zhang
Yixiang Xu
Department of Civil Engineering,
Strathclyde University,
Glasgow G12 8QQ, UK
e-mail: Yixiang.xu@strath.ac.uk
Strathclyde University,
Glasgow G12 8QQ, UK
e-mail: Yixiang.xu@strath.ac.uk
Ya Zhou
Jian Feng
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received March 23, 2015; final manuscript received November 17, 2015; published online January 6, 2016. Assoc. Editor: Nam H. Kim.
2
Current address: Wuxi Architectural Design & Research Institute Co., Ltd., Wuxi 214001, Jiangsu, China.
1
Corresponding author.
J. Mech. Des. Mar 2016, 138(3): 031401 (8 pages)
Published Online: January 6, 2016
Article history
Received:
March 23, 2015
Revised:
November 17, 2015
Citation
Cai, J., Zhang, Y., Xu, Y., Zhou, Y., and Feng, J. (January 6, 2016). "The Foldability of Cylindrical Foldable Structures Based on Rigid Origami." ASME. J. Mech. Des. March 2016; 138(3): 031401. https://doi.org/10.1115/1.4032194
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