Nonlinear vibrations and stability analysis of axially moving strings having nonideal mid-support conditions

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dc.contributor.authorYurddaş A.
dc.contributor.authorÖzkaya E.
dc.contributor.authorBoyaci H.
dc.date.accessioned2024-07-22T08:16:11Z
dc.date.available2024-07-22T08:16:11Z
dc.date.issued2014
dc.description.abstractIn this study, nonlinear vibrations of an axially moving string are investigated. The main difference of this study from other studies is that there is a nonideal support between the opposite sides, which allows small displacements. Nonlinear equations of motion and boundary conditions are derived using Hamilton's principle. Equations of motion and boundary conditions are converted to nondimensional form. Thus, the equations become independent from geometry and material properties. The method of multiple scales, a perturbation technique, is used. A harmonically varying velocity function is chosen for modeling the axial movement. String as a continuous medium is investigated in two regions. Vibrations are investigated for three different cases of the excitation frequency Ω. Stability analysis is carried out for these three cases, and stability boundaries are determined for the principle parametric resonance case. Thus, differences between ideal and nonideal boundary conditions are investigated. © The Author(s) 2012 Reprints and permissions: sagepub.co.uk/journalsPermissions.nav.
dc.identifier.DOI-ID10.1177/1077546312463760
dc.identifier.issn17412986
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16804
dc.language.isoEnglish
dc.subjectEquations of motion
dc.subjectAxially moving strings
dc.subjectMethod of multiple scale
dc.subjectNon ideals
dc.subjectNon-linear vibrations
dc.subjectStability analysis
dc.subjectBoundary conditions
dc.titleNonlinear vibrations and stability analysis of axially moving strings having nonideal mid-support conditions
dc.typeArticle

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