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.
| Language | English |
|---|---|
| Article number | 031401 |
| Number of pages | 8 |
| Journal | Journal of Mechanical Design |
| Volume | 138 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 6 Jan 2016 |
Keywords
- foldable structures
- rigid origami
- rigid foldability
- crease system
Cite this
}
The foldability of cylindrical foldable structures based on rigid origami. / Cai, Jianguo; Zhang, Yuting; Xu, Yixiang; Zhou, Ya; Feng, Jian.
In: Journal of Mechanical Design, Vol. 138, No. 3, 031401, 06.01.2016.Research output: Contribution to journal › Article
TY - JOUR
T1 - The foldability of cylindrical foldable structures based on rigid origami
AU - Cai, Jianguo
AU - Zhang, Yuting
AU - Xu, Yixiang
AU - Zhou, Ya
AU - Feng, Jian
PY - 2016/1/6
Y1 - 2016/1/6
N2 - 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.
AB - 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.
KW - foldable structures
KW - rigid origami
KW - rigid foldability
KW - crease system
UR - http://www.scopus.com/inward/record.url?scp=84954241706&partnerID=8YFLogxK
U2 - 10.1115/1.4032194
DO - 10.1115/1.4032194
M3 - Article
VL - 138
JO - Journal of Mechanical Design
T2 - Journal of Mechanical Design
JF - Journal of Mechanical Design
SN - 1050-0472
IS - 3
M1 - 031401
ER -