Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations

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dc.contributor.authorPakdemirli M.
dc.contributor.authorÖz H.R.
dc.date.accessioned2024-07-22T08:22:19Z
dc.date.available2024-07-22T08:22:19Z
dc.date.issued2008
dc.description.abstractThe transverse vibrations of simply supported axially moving Euler-Bernoulli beams are investigated. The beam has a time-varying axial velocity with viscous damping. Traveling beam eigenfunctions with infinite number of modes are considered. Approximate analytical solutions are sought using the method of Multiple Scales, a perturbation technique. A detailed analysis of the resonances in which upto four modes of vibration involved are performed. Stability analysis is treated for each type of resonance. Approximate stability borders are given for the resonances involving only two modes. For higher number of modes involved in a resonance, sample numerical examples are presented for stabilities. © 2007 Elsevier Ltd. All rights reserved.
dc.identifier.DOI-ID10.1016/j.jsv.2007.10.003
dc.identifier.issn0022460X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19029
dc.language.isoEnglish
dc.publisherAcademic Press
dc.subjectApproximation theory
dc.subjectEigenvalues and eigenfunctions
dc.subjectEuler equations
dc.subjectLinear stability analysis
dc.subjectProblem solving
dc.subjectBeam vibrations
dc.subjectEuler-Bernoulli beams
dc.subjectInfinite mode analysis
dc.subjectVibration control
dc.titleInfinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations
dc.typeArticle

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