On rigid origami III: local rigidity analysis
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Journal Title
Proceedings of the Royal Society of London. Mathematical, Physical and Engineering Sciences
ISSN
1364-5021
Publisher
The Royal Society
Type
Article
This Version
AM
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He, Z., & Guest, S. On rigid origami III: local rigidity analysis. Proceedings of the Royal Society of London. Mathematical, Physical and Engineering Sciences https://doi.org/10.17863/CAM.78680
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 rigidity 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 thedesign of origami structures where some rigidity is required.
Sponsorship
Engineering and Physical Sciences Research Council (EP/P013848/1)
Embargo Lift Date
2024-12-06
Identifiers
This record's DOI: https://doi.org/10.17863/CAM.78680
This record's URL: https://www.repository.cam.ac.uk/handle/1810/331234
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