On rigid origami III: local rigidity analysis.
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Publication Date
2022-02-09ISSN
1364-5021
Language
eng
Type
Article
This Version
VoR
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He, Z., & Guest, S. D. (2022). On rigid origami III: local rigidity analysis.. https://doi.org/10.1098/rspa.2021.0589
Abstract
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.
Keywords
Stress, Load, Second Order, First Order, Foldability, Prestress Stability
Identifiers
35173518, PMC8826367
External DOI: https://doi.org/10.1098/rspa.2021.0589
This record's URL: https://www.repository.cam.ac.uk/handle/1810/335241
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