- Abstract:
-
This paper presents a mathematical framework for the design of rigid-foldable doubly-curved origami tessellations based on trapezoidal crease patterns that can simultaneously fit two target surfaces with rotational symmetry about a common axis. The geometric parameters of the crease pattern and the folding angles of the target folded state are determined through a set of combined geometric and constraint equations. An algorithm to simulate the folding motion of the designed crease pattern is ...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 1.5MB)
-
- Publisher copy:
- 10.1098/rspa.2017.0016
-
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- Publisher:
- Royal Society Publisher's website
- Journal:
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Journal website
- Volume:
- 473
- Issue:
- 2200
- Pages:
- 20170016
- Publication date:
- 2017-04-12
- Acceptance date:
- 2017-03-10
- DOI:
- EISSN:
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1471-2946
- ISSN:
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1364-5021
- Pubs id:
-
pubs:693442
- URN:
-
uri:42d2521e-ad2f-4b8b-8600-cb51646c70c4
- UUID:
-
uuid:42d2521e-ad2f-4b8b-8600-cb51646c70c4
- Local pid:
- pubs:693442
- Language:
- English
- Keywords:
- Copyright holder:
- You et al
- Copyright date:
- 2017
- Notes:
- © 2017 The Author(s). Published by the Royal Society. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from the Royal Society at: http://dx.doi.org/10.1098/rspa.2017.0016
Journal article
Design of rigid-foldable doubly curved origami tessellations based on trapezoidal crease patterns.
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