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Open AccessFeature PaperArticle

Computational Modeling Methods for Deployable Structure Based on Alternatively Asymmetric Triangulation

by Qingwen Zhang 1,2,*, Danmin Yu 1,2, Xinye Li 1,2 and Feng Fan 1,2
1
Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin 150090, China
2
Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters of the Ministry of Industry and Information Technology, Harbin Institute of Technology, Harbin 150090, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1278; https://doi.org/10.3390/sym11101278
Received: 22 September 2019 / Revised: 8 October 2019 / Accepted: 8 October 2019 / Published: 11 October 2019
Asymmetric triangulation is an interesting method combined with concentric pleating to obtain a 3D shape without stretching or tearing. There exists some geometric properties in the process of folding to help realize extension and contraction, which can be used in parametric modeling of different regular polygons. To facilitate design and modeling, adequate computational modeling methods are indispensable. This paper proposes a new mathematical idea and presents a feasible way to build the parameterized models in the digital environment of Rhinoceros, utilizing the Kangaroo plugin in Grasshopper. Designers can directly observe the models’ kinematic deployment and calculate the folding efficiency. It is concluded that the tendencies of folding efficiency in different regular polygons are not the same. To realize rigid folding, each polygon has a limited folding angle.
Keywords: deployable structure; regular polygon; alternatively asymmetric triangulation; parametric modeling; rigid-foldable origami deployable structure; regular polygon; alternatively asymmetric triangulation; parametric modeling; rigid-foldable origami
MDPI and ACS Style

Zhang, Q.; Yu, D.; Li, X.; Fan, F. Computational Modeling Methods for Deployable Structure Based on Alternatively Asymmetric Triangulation. Symmetry 2019, 11, 1278.

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