Journal
JOURNAL OF MECHANICAL DESIGN
Volume 138, Issue 3, Pages -Publisher
ASME
DOI: 10.1115/1.4032194
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Funding
- National Natural Science Foundation of China [51308106, 51278116]
- Natural Science Foundation of Jiangsu Province [BK20130614]
- Specialized Research Fund for the Doctoral Program of Higher Education [20130092120018]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Excellent Young Teachers Program of Southeast University
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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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