Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions

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dc.contributor.authorYurddaş A.
dc.contributor.authorÖzkaya E.
dc.contributor.authorBoyacı H.
dc.date.accessioned2024-07-22T08:18:55Z
dc.date.available2024-07-22T08:18:55Z
dc.date.issued2013
dc.description.abstractIn this study, nonlinear vibrations of an axially moving multi-supported string have been investigated. The main difference of this study from the others is in that there are non-ideal supports allowing minimal deflections between ideal supports at both ends of the string. Nonlinear equations of the motion and boundary conditions have been obtained using Hamilton's Principle. Dependence of the equations of motion and boundary conditions on geometry and material of the string have been eliminated by non-dimensionalizing. Method of multiple scales, a perturbation technique, has been employed for solving the equations of motion. Axial velocity has been assumed a harmonically varying function about a constant value. Axially moving string has been investigated in three regions. Vibrations have been examined for three different cases of the velocity variation frequency. Stability has been analyzed and stability boundaries have been established for the principal parametric resonance case. Effects of the non-ideal support conditions on stability boundaries and vibration amplitudes have been investigated. © 2012 Springer Science+Business Media Dordrecht.
dc.identifier.DOI-ID10.1007/s11071-012-0650-5
dc.identifier.issn0924090X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17465
dc.language.isoEnglish
dc.publisherKluwer Academic Publishers
dc.subjectBifurcation (mathematics)
dc.subjectBoundary conditions
dc.subjectEquations of motion
dc.subjectOscillators (electronic)
dc.subjectPerturbation techniques
dc.subjectStability
dc.subjectSuspensions (components)
dc.subjectVibration analysis
dc.subjectAxially moving strings
dc.subjectHamilton's principle
dc.subjectMethod of multiple scale
dc.subjectNon ideals
dc.subjectNon-linear vibrations
dc.subjectPrincipal parametric resonance
dc.subjectStability analysis
dc.subjectStability boundaries
dc.subjectNonlinear equations
dc.titleNonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions
dc.typeArticle

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