Relationship between Euler buckling and unstable equilibria of buckled beams

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dc.citation.firstpage151en_US
dc.citation.journalTitleInternational Journal of Non-Linear Mechanicsen_US
dc.citation.lastpage161en_US
dc.citation.volumeNumber95en_US
dc.contributor.authorNistor, Mihaelaen_US
dc.contributor.authorWiebe, Richarden_US
dc.contributor.authorStanciulescu, Ilincaen_US
dc.date.accessioned2017-08-03T16:57:41Zen_US
dc.date.available2017-08-03T16:57:41Zen_US
dc.date.issued2017en_US
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.en_US
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.en_US
dc.identifier.digitalPaperLoopsR3en_US
dc.identifier.doihttps://doi.org/10.1016/j.ijnonlinmec.2017.06.016en_US
dc.identifier.urihttps://hdl.handle.net/1911/96556en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.subject.keywordsnap-throughen_US
dc.subject.keywordEuler bucklingen_US
dc.subject.keywordstabilityen_US
dc.subject.keywordarc-length methoden_US
dc.subject.keywordstructural mechanicsen_US
dc.titleRelationship between Euler buckling and unstable equilibria of buckled beamsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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