Linear vibrations of continuum with fractional derivatives

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dc.contributor.authorDemir, DD
dc.contributor.authorBildik, N
dc.contributor.authorSinir, BG
dc.date.accessioned2024-07-18T11:49:10Z
dc.date.available2024-07-18T11:49:10Z
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.
dc.identifier.issn1687-2770
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/3823
dc.language.isoEnglish
dc.publisherSPRINGER
dc.subjectGENERAL-SOLUTION PROCEDURE
dc.subjectCUBIC NONLINEARITIES
dc.subjectFORCED VIBRATIONS
dc.subjectCONTINUOUS SYSTEM
dc.subjectCALCULUS
dc.subjectRESONANCES
dc.titleLinear vibrations of continuum with fractional derivatives
dc.typeArticle

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