Transient dynamic analysis of unconstrained layer damping beams characterized by a fractional derivative model

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dc.contributor.authorBrun Martínez, Mikel
dc.contributor.authorCortés Martínez, Fernando
dc.contributor.authorElejabarrieta Olabarri, María Jesús
dc.date.accessioned2024-11-13T11:57:22Z
dc.date.available2024-11-13T11:57:22Z
dc.date.issued2021-08
dc.date.updated2024-11-13T11:57:22Z
dc.description.abstractThis paper presents a numerical analysis of the influence of mechanical properties and the thickness of viscoelastic materials on the transient dynamic behavior of free layer damping beams. Specifically, the beams consist of cantilever metal sheets with surface viscoelastic treatment, and two different configurations are analyzed: symmetric and asymmetric. The viscoelastic material is characterized by a five-parameter fractional derivative model, which requires specific numerical methods to solve for the transverse displacement of the free edge of the beam when a load is applied. Concretely, a homogenized finite element formulation is performed to reduce computation time, and the Newmark method is applied together with the Grünwald–Letnikov method to accomplish the time discretization of the fractional derivative equations. Amplitudes and response time are evaluated to study the transient dynamic behavior and results indicate that, in general, asymmetrical configurations present more vibration attenuation than the symmetrical ones. Additionally, it is deduced that a compromise between response time and amplitudes has to be reached, and in addition, the most influential parameters have been determined to achieve greater vibration reduction.en
dc.description.sponsorshipThis research was partially supported by the ISAVA project (PUE 2020 04, Basque Government)en
dc.identifier.citationBrun, M., Cortés, F., & Elejabarrieta, M. J. (2021). Transient dynamic analysis of unconstrained layer damping beams characterized by a fractional derivative model. Mathematics, 9(15). https://doi.org/10.3390/MATH9151731
dc.identifier.doi10.3390/MATH9151731
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/20.500.14454/1822
dc.language.isoeng
dc.publisherMDPI AG
dc.rights© 2021 by the authors
dc.subject.otherFinite element method
dc.subject.otherFractional derivative model
dc.subject.otherTransient analysis
dc.subject.otherUnconstrained damping beam
dc.subject.otherViscoelastic material
dc.titleTransient dynamic analysis of unconstrained layer damping beams characterized by a fractional derivative modelen
dc.typejournal article
dcterms.accessRightsopen access
oaire.citation.issue15
oaire.citation.titleMathematics
oaire.citation.volume9
oaire.licenseConditionhttps://creativecommons.org/licenses/by/4.0/
oaire.versionVoR
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