On rigid origami III: local rigidity analysis
Publication Date
2022-02Journal Title
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN
1364-5021
Publisher
The Royal Society
Volume
478
Issue
2258
Language
en
Type
Article
This Version
AO
VoR
Metadata
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He, Z., & Guest, S. D. (2022). On rigid origami III: local rigidity analysis. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2258) https://doi.org/10.1098/rspa.2021.0589
Abstract
<jats:p>In this article, rigid origami is examined from the perspective of rigidity theory. First- and second-order rigidity are defined from local differential analysis of the consistency constraint; while the static rigidity and prestress stability are defined after finding the form of internal force and load. We will show the hierarchical relation among these local rigidities with examples representing different levels. The development of theory here follows the same path as the conventional rigidity theory for bar-joint frameworks, but starts with different high-order rotational constraints. We also bring new interpretation to the internal force and geometric error of constraints associated with energy. Examining the different aspects of the rigidity of origami might give a novel perspective for the development of new folding patterns, or for the design of origami structures where some rigidity is required.</jats:p>
Keywords
Research articles, foldability, stress, load, first order, prestress stability, second order
Identifiers
rspa20210589
External DOI: https://doi.org/10.1098/rspa.2021.0589
This record's URL: https://www.repository.cam.ac.uk/handle/1810/333801
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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