Bifurcation and Chaos of slightly curved pipes

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dc.contributor.authorSinir B.G.
dc.date.accessioned2024-07-22T08:21:14Z
dc.date.available2024-07-22T08:21:14Z
dc.date.issued2010
dc.description.abstractNon-linear vibrations of slightly curved pipes conveying fluid with constant velocity are investigated. The curvature is taken as an arbitrary function of the spatial variable. The initial displacement is considered due to the geometry of the pipe itself. The ends of the curved pipe are assumed to be immovable simple supports. The equations of motion of pipes are derived using Hamilton's principle and solved by Galerkin method. The bifurcation diagrams are presented for various amplitudes of the curvature function and fluid velocity. The periodic and chaotic motions have been observed in the transverse vibrations of slightly curved pipe conveying fluid. © Association for Scientific Research.
dc.identifier.DOI-ID10.3390/mca15030490
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18527
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectBifurcation (mathematics)
dc.subjectGalerkin methods
dc.subjectBifurcation and chaos
dc.subjectConveying fluids
dc.subjectCurved pipes
dc.subjectHamilton's principle
dc.subjectInitial displacements
dc.subjectNon-linear vibrations
dc.subjectPeriodic and chaotic motions
dc.subjectTransverse vibrations
dc.subjectEquations of motion
dc.titleBifurcation and Chaos of slightly curved pipes
dc.typeArticle

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