On the nonlinear transverse vibrations and stability of an axially accelerating beam

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dc.contributor.authorOz H.R.
dc.date.accessioned2024-07-22T08:25:39Z
dc.date.available2024-07-22T08:25:39Z
dc.date.issued2000
dc.description.abstractNonlinear vibrations and stability analysis of an axially moving Euler-Bernoulli type beam are investigated. The beam is on fixed supports and moving with a harmonically varying velocity about a constant mean value. The method of multiple scales is used in the analysis. Nonlinear frequencies depending on vibration amplitudes are obtained. Stability and bifurcations of steady-state solutions are analyzed for frequencies close to two times any natural frequency. It is shown that the amplitudes are bounded in time for frequencies close to zero. The effect of fixed supports is discussed.
dc.identifier.DOI-ID10.3390/mca5020157
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20534
dc.language.isoEnglish
dc.publisherAssoc Sci Res
dc.rightsAll Open Access; Gold Open Access
dc.subjectBeams and girders
dc.subjectBifurcation (mathematics)
dc.subjectBoundary conditions
dc.subjectEigenvalues and eigenfunctions
dc.subjectEquations of motion
dc.subjectFrequency domain analysis
dc.subjectVibrations (mechanical)
dc.subjectAxially accelerating beam
dc.subjectMultiple scale method
dc.subjectApproximation theory
dc.titleOn the nonlinear transverse vibrations and stability of an axially accelerating beam
dc.typeArticle

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