A finite element formulation for the transient response of free layer damping plates including fractional derivatives

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dc.contributor.authorCortés Martínez, Fernando
dc.contributor.authorBrun Martínez, Mikel
dc.contributor.authorElejabarrieta Olabarri, María Jesús
dc.date.accessioned2024-11-12T16:08:05Z
dc.date.available2024-11-12T16:08:05Z
dc.date.issued2023-07
dc.date.updated2024-11-12T16:08:05Z
dc.description.abstractThis paper presents a finite element formulation specifically developed for the transient dynamic analysis of free layer damping plates, in which the viscoelastic behaviour of damping layers is modelled by means of fractional derivatives. This formulation is based on the homogenisation of thin multi-layered plates, adapted to consider fractional derivatives. Then, a fractional matrix equation system is reached, and the time response is solved by means of the implicit Newmark method in conjunction with the Grünwald-Letnikov discretisation of the fractional derivatives. The validation of the method is carried out by comparing the results of three different numerical applications with the ones provided by a finite element model built with hexahedral elements. As conclusion, it can be pointed out that the proposed finite element formulation based on the homogenisation of multi-layer plates reproduces accurately the time response of plates with surface damping treatments. In addition, this method allows conventional plate mass and stiffness matrices to be used to model each individual layer, without requiring specific formulations.en
dc.description.sponsorshipThis study received financial support from the Department of Education of the Basque Government for the Research Group program IT1507-22en
dc.identifier.citationCortés, F., Brun, M., & Elejabarrieta, M. J. (2023). A finite element formulation for the transient response of free layer damping plates including fractional derivatives. Computers and Structures, 282. https://doi.org/10.1016/J.COMPSTRUC.2023.107039
dc.identifier.doi10.1016/J.COMPSTRUC.2023.107039
dc.identifier.issn0045-7949
dc.identifier.urihttp://hdl.handle.net/20.500.14454/1795
dc.language.isoeng
dc.publisherElsevier Ltd
dc.rights© 2023 The Author(s)
dc.subject.otherFinite element method
dc.subject.otherFractional derivative model
dc.subject.otherHomogenised multi-layered plate
dc.subject.otherNumerical methods
dc.subject.otherSurface damping treatments
dc.subject.otherTransient dynamic analysis
dc.titleA finite element formulation for the transient response of free layer damping plates including fractional derivativesen
dc.typejournal article
dcterms.accessRightsopen access
oaire.citation.titleComputers and Structures
oaire.citation.volume282
oaire.licenseConditionhttps://creativecommons.org/licenses/by-nc-nd/4.0/
oaire.versionVoR
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