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dc.contributor.authorHe, Zeyuan
dc.contributor.authorGuest, Simon
dc.date.accessioned2021-12-06T08:46:16Z
dc.date.available2021-12-06T08:46:16Z
dc.identifier.issn1364-5021
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/331234
dc.description.abstractIn 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.
dc.publisherThe Royal Society
dc.rightsAll Rights Reserved
dc.rights.urihttp://www.rioxx.net/licenses/all-rights-reserved
dc.titleOn rigid origami III: local rigidity analysis
dc.typeArticle
prism.publicationNameProceedings of the Royal Society of London. Mathematical, Physical and Engineering Sciences
dc.identifier.doi10.17863/CAM.78680
dcterms.dateAccepted2021-11-25
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2021-11-25
dc.contributor.orcidHe, Zeyuan [0000-0002-1475-6410]
dc.contributor.orcidGuest, Simon [0000-0002-0152-6579]
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/P013848/1)
cam.orpheus.counter16*
rioxxterms.freetoread.startdate2024-12-06


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