An analysis of the dynamical behaviour of systems with fractional damping for mechanical engineering applications

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dc.contributor.authorZarraga Rio, Ondiz
dc.contributor.authorSarría, Imanol
dc.contributor.authorGarcía Barruetabeña, Jon
dc.contributor.authorCortés Martínez, Fernando
dc.date.accessioned2025-10-02T15:13:01Z
dc.date.available2025-10-02T15:13:01Z
dc.date.issued2019-12-01
dc.date.updated2025-10-02T15:13:01Z
dc.description.abstractFractional derivative models are widely used to easily characterise more complex damping behaviour than the viscous one, although the underlying properties are not trivial. Several studies about the mathematical properties can be found, but are usually far from the most daily applications. Thus, this paper studies the properties of structural systems whose damping is represented by a fractional model from the point of view of a mechanical engineer. First, a single-degree-of-freedom system with fractional damping is analysed. Specifically, the distribution of the poles and the dynamic response to several excitations is studied for different model parameter values highlighting dissimilarities from systems with conventional viscous damping. In fact, thanks to fractional models, particular behaviours are observed that cannot be reproduced by classical ones. Finally, the dynamics of a machine shaft supported by two bearings presenting fractional damping is analysed. The study is carried out by the Finite Element method, deriving in a system with symmetric matrices. Eigenvalues and eigenvectors are obtained by means of an iterative method, and the effect of damping is visualised on the mode shapes. In addition, the response to a perturbation is computed, revealing the influence of the model parameters on the resulting vibration.en
dc.identifier.citationZarraga, O., Sarría, I., García-Barruetabeña, J., & Cortés, F. (2019). An analysis of the dynamical behaviour of systems with fractional damping for mechanical engineering applications. Symmetry, 11(12). https://doi.org/10.3390/SYM11121499
dc.identifier.doi10.3390/SYM11121499
dc.identifier.eissn2073-8994
dc.identifier.urihttps://hdl.handle.net/20.500.14454/3830
dc.language.isoeng
dc.publisherMDPI AG
dc.rights© 2019 by the authors
dc.subject.otherDynamic behaviour
dc.subject.otherFractional damping
dc.subject.otherVibration
dc.titleAn analysis of the dynamical behaviour of systems with fractional damping for mechanical engineering applicationsen
dc.typejournal article
dcterms.accessRightsopen access
oaire.citation.issue12
oaire.citation.titleSymmetry
oaire.citation.volume11
oaire.licenseConditionhttps://creativecommons.org/licenses/by/4.0/
oaire.versionVoR
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