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dc.contributor.authorNistor, Mihaela
Wiebe, Richard
Stanciulescu, Ilinca
dc.date.accessioned 2017-08-03T16:57:41Z
dc.date.available 2017-08-03T16:57:41Z
dc.date.issued 2017
dc.identifier.citation Nistor, Mihaela, Wiebe, Richard and Stanciulescu, Ilinca. "Relationship between Euler buckling and unstable equilibria of buckled beams." International Journal of Non-Linear Mechanics, 95, (2017) 151-161. https://doi.org/10.1016/j.ijnonlinmec.2017.06.016.
dc.identifier.urihttp://hdl.handle.net/1911/96556
dc.description.abstract Classic 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.language.iso eng
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.title Relationship between Euler buckling and unstable equilibria of buckled beams
dc.type Journal article
dc.citation.journalTitle International Journal of Non-Linear Mechanics
dc.subject.keywordsnap-through
Euler buckling
stability
arc-length method
structural mechanics
dc.citation.volumeNumber 95
dc.identifier.digital PaperLoopsR3
dc.contributor.publisher Elsevier
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1016/j.ijnonlinmec.2017.06.016
dc.type.publication post-print
dc.citation.firstpage 151
dc.citation.lastpage 161


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