Non-linear vibrations and stability of an axially moving beam with time-dependent velocity

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dc.contributor.authorÖz H.R.
dc.contributor.authorPakdemirli M.
dc.contributor.authorBoyaci H.
dc.date.accessioned2024-07-22T08:25:27Z
dc.date.available2024-07-22T08:25:27Z
dc.date.issued2001
dc.description.abstractNon-linear vibrations of an axially moving beam are investigated. The non-linearity is introduced by including stretching effect of the beam. The beam is moving with a time-dependent velocity, namely a harmonically varying velocity about a constant mean velocity. Approximate solutions are sought using the method of multiple scales. Depending on the variation of velocity, three distinct cases arise: (i) frequency away from zero or two times the natural frequency, (ii) frequency close to zero, (iii) frequency close to two times the natural frequency. Amplitude-dependent non-linear frequencies are derived. For frequencies close to two times the natural frequency, stability and bifurcations of steady-state solutions are analyzed. For frequencies close to zero, it is shown that the amplitudes are bounded in time.
dc.identifier.DOI-ID10.1016/S0020-7462(99)00090-6
dc.identifier.issn00207462
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20434
dc.language.isoEnglish
dc.publisherElsevier Science Ltd
dc.subjectApproximation theory
dc.subjectBifurcation (mathematics)
dc.subjectNatural frequencies
dc.subjectPerturbation techniques
dc.subjectAxially moving material
dc.subjectVibrations (mechanical)
dc.titleNon-linear vibrations and stability of an axially moving beam with time-dependent velocity
dc.typeArticle

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