Linear vibrations of continuum with fractional derivatives

dc.contributor.authorDemir D.D.
dc.contributor.authorBildik N.
dc.contributor.authorSinir B.G.
dc.date.accessioned2024-07-22T08:17:50Z
dc.date.available2024-07-22T08:17:50Z
dc.date.issued2013
dc.description.abstractIn this paper, linear vibrations of axially moving systems which are modelled by a fractional derivative are considered. The approximate analytical solution is obtained by applying the method of multiple scales. Including stability analysis, the effects of variation in different parameters belonging to the application problems on the system are calculated numerically and depicted by graphs. It is determined that the external excitation force acting on the system has an effect on the stiffness of the system. Moreover, the general algorithm developed can be applied to many problems for linear vibrations of continuum. © 2013 Donmez Demir et al.; licensee Springer.
dc.identifier.DOI-ID10.1186/1687-2770-2013-104
dc.identifier.issn16872770
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17139
dc.language.isoEnglish
dc.rightsAll Open Access; Gold Open Access
dc.titleLinear vibrations of continuum with fractional derivatives
dc.typeArticle

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