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dc.contributor.authorNeukirch, Sébastien
dc.contributor.authorGoriely, Alain
dc.contributor.authorThomas, Olivier
dc.date.accessioned2016-02-28T06:06:29Z
dc.date.available2016-02-28T06:06:29Z
dc.date.issued2014-02
dc.identifier.citationNeukirch S, Goriely A, Thomas O (2014) Singular inextensible limit in the vibrations of post-buckled rods: Analytical derivation and role of boundary conditions. Journal of Sound and Vibration 333: 962–970. Available: http://dx.doi.org/10.1016/j.jsv.2013.10.009.
dc.identifier.issn0022-460X
dc.identifier.doi10.1016/j.jsv.2013.10.009
dc.identifier.urihttp://hdl.handle.net/10754/599641
dc.description.abstractIn-plane vibrations of an elastic rod clamped at both extremities are studied. The rod is modeled as an extensible planar Kirchhoff elastic rod under large displacements and rotations. Equilibrium configurations and vibrations around these configurations are computed analytically in the incipient post-buckling regime. Of particular interest is the variation of the first mode frequency as the load is increased through the buckling threshold. The loading type is found to have a crucial importance as the first mode frequency is shown to behave singularly in the zero thickness limit in the case of prescribed axial displacement, whereas a regular behavior is found in the case of prescribed axial load. © 2013 Elsevier Ltd.
dc.description.sponsorshipThis publication is based in part upon work supported by Award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) (A.G.). A.G. is a Wolfson/Royal Society Merit Award holder. Support from the Royal Society, through the International Exchanges Scheme (Grant IE120203), is also acknowledged.
dc.publisherElsevier BV
dc.titleSingular inextensible limit in the vibrations of post-buckled rods: Analytical derivation and role of boundary conditions
dc.typeArticle
dc.identifier.journalJournal of Sound and Vibration
dc.contributor.institutionCNRS Centre National de la Recherche Scientifique, Paris, France
dc.contributor.institutionUniversite Pierre et Marie Curie, Paris, France
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
dc.contributor.institutionENSAM - Paris, Paris, France
kaust.grant.numberKUK-C1-013-04


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