Relationship between Euler buckling and unstable equilibria of buckled beams

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dc.citation.firstpage151
dc.citation.journalTitleInternational Journal of Non-Linear Mechanics
dc.citation.lastpage161
dc.citation.volumeNumber95
dc.contributor.authorNistor, Mihaela
dc.contributor.authorWiebe, Richard
dc.contributor.authorStanciulescu, Ilinca
dc.date.accessioned2017-08-03T16:57:41Z
dc.date.available2017-08-03T16:57:41Z
dc.date.issued2017
dc.description.abstractClassic snap-through of curved beams, plates, and shells has long been an object of attention in structural engineering. Euler buckling under axial loading is perhaps an even more entrenched part of the canon of engineering education and practice. In this paper we introduce a relationship between the two phenomena, that to our knowledge has not been directly addressed before. The relationship shows that Euler buckling configurations are connected by the force–displacement curve under transverse loading. The results are used to develop a very simple metric to estimate the number of unstable static equilibria of a buckled structure based only on its geometry with no need for static or dynamic solvers. The study is focused on beams as this allows for an unambiguous discussion of the idea on the simplest possible structure.
dc.identifier.citationNistor, Mihaela, Wiebe, Richard and Stanciulescu, Ilinca. "Relationship between Euler buckling and unstable equilibria of buckled beams." <i>International Journal of Non-Linear Mechanics,</i> 95, (2017) Elsevier: 151-161. https://doi.org/10.1016/j.ijnonlinmec.2017.06.016.
dc.identifier.digitalPaperLoopsR3
dc.identifier.doihttps://doi.org/10.1016/j.ijnonlinmec.2017.06.016
dc.identifier.urihttps://hdl.handle.net/1911/96556
dc.language.isoeng
dc.publisherElsevier
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.subject.keywordsnap-through
dc.subject.keywordEuler buckling
dc.subject.keywordstability
dc.subject.keywordarc-length method
dc.subject.keywordstructural mechanics
dc.titleRelationship between Euler buckling and unstable equilibria of buckled beams
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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