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Nonlinear vibrations of axially moving beams with multiple concentrated masses Part I: primary resonance
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 Title & Authors
Nonlinear vibrations of axially moving beams with multiple concentrated masses Part I: primary resonance
Sarigul, M.; Boyaci, H.;
 Abstract
Transverse vibrations of axially moving beams with multiple concentrated masses have been investigated. It is assumed that the beam is of Euler-Bernoulli type, and both ends of it have simply supports. Concentrated masses are equally distributed on the beam. This system is formulated mathematically and then sought to find out approximately solutions of the problem. Method of multiple scales has been used. It is assumed that axial velocity of the beam is harmonically varying around a mean-constant velocity. In case of primary resonance, an analytical solution is derived. Then, the effects of both magnitude and number of the concentrated masses on nonlinear vibrations are investigated numerically in detail.
 Keywords
axially moving beam;concentrated mass;method of multiple scales;nonlinear vibrations;
 Language
English
 Cited by
1.
Internal Resonance of Axially Moving Beams with Masses, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2017  crossref(new windwow)
2.
Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam, Nonlinear Dynamics, 2015, 82, 4, 1721  crossref(new windwow)
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