A general condition for the existence of unconnected equilibria for symmetric arches

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dc.citation.firstpage144
dc.citation.journalTitleInternational Journal of Non-Linear Mechanics
dc.citation.lastpage153
dc.citation.volumeNumber99
dc.contributor.authorZhou, Yang
dc.contributor.authorStanciulescu, Ilinca
dc.date.accessioned2018-06-29T16:54:54Z
dc.date.available2018-06-29T16:54:54Z
dc.date.issued2018
dc.description.abstractThis paper presents a semi-analytical study of unconnected equilibrium states for symmetric curved beams. Using the Fourier series approximation, a general condition for the existence of unconnected equilibria for symmetric shallow arches is derived for the first time. With this derived condition, we can directly determine whether or not a shallow arch with specific initial configuration and external load has remote unconnected equilibria. These unconnected equilibria cannot be obtained in experiments or nonlinear finite element simulations without performing a proper perturbation first. The derived general condition is then applied to curved beams with different initial shapes and external loads. It is found that initially symmetric parabolic arches under a uniformly distributed vertical force can have multiple groups of unconnected equilibria, depending on the initial rise of the structure. However, small symmetric geometric deviations are required for parabolic arches under a central point load, and half-sine arches under a central point load or a uniformly distributed load to have unconnected equilibria. The validity of the analytical derivations of the nonlinear equilibrium solutions and the general condition for the existence of unconnected equilibria are verified by nonlinear finite element methods.
dc.identifier.citationZhou, Yang and Stanciulescu, Ilinca. "A general condition for the existence of unconnected equilibria for symmetric arches." <i>International Journal of Non-Linear Mechanics,</i> 99, (2018) Elsevier: 144-153. https://doi.org/10.1016/j.ijnonlinmec.2017.11.008.
dc.identifier.doihttps://doi.org/10.1016/j.ijnonlinmec.2017.11.008
dc.identifier.urihttps://hdl.handle.net/1911/102317
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.keywordUnconnected equilibrium states
dc.subject.keywordA general condition
dc.subject.keywordSymmetric curved beams
dc.subject.keywordPost-buckling responses
dc.titleA general condition for the existence of unconnected equilibria for symmetric arches
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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