Linear dynamical analysis of fractionally damped beams and rods

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dc.contributor.authorDönmez Demir D.
dc.contributor.authorBildik N.
dc.contributor.authorSınır B.G.
dc.date.accessioned2024-07-22T08:17:14Z
dc.date.available2024-07-22T08:17:14Z
dc.date.issued2014
dc.description.abstractThe aim of this study is to develop a general model for beams and rods with fractional derivatives. Fractional time derivatives can represent the damping term in dynamical models of continuous systems. Linear differential operators with spatial derivatives make it possible to generalize a wide range of problems. The method of multiple scales is directly applied to equations of motion. For the approximate solution, the amplitude and phase modulation equations are obtained in terms of the operators. Stability boundaries are derived from the solvability condition. It is shown that a fractional derivative influences the stability boundaries, natural frequencies, and amplitudes of vibrations. The solution procedure may be applied to many problems with linear vibrations of continuous systems. © 2013 Springer Science+Business Media Dordrecht.
dc.identifier.DOI-ID10.1007/s10665-013-9642-9
dc.identifier.issn00220833
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16988
dc.language.isoEnglish
dc.publisherKluwer Academic Publishers
dc.subjectDamping
dc.subjectEquations of motion
dc.subjectMathematical operators
dc.subjectPerturbation techniques
dc.subjectAmplitude and phase modulations
dc.subjectApproximate solution
dc.subjectFractional derivatives
dc.subjectLinear differential operators
dc.subjectMethod of multiple scale
dc.subjectPerturbation method
dc.subjectSolvability conditions
dc.subjectViscoelastic beams
dc.subjectContinuous time systems
dc.titleLinear dynamical analysis of fractionally damped beams and rods
dc.typeArticle

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