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Mass matrices for elastic continua with micro-inertia

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dc.affiliation.dptoUC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructurases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructuraleses
dc.contributor.authorGómez Silva, Francisco
dc.contributor.authorAskes, H.
dc.date.accessioned2023-06-09T07:23:42Z
dc.date.available2023-06-09T07:23:42Z
dc.date.issued2023-01-15
dc.description.abstractIn this paper, the finite element discretization of non-classical continuum models with micro-inertia is analysed. The focus is on micro-inertia extensions of the one-dimensional rod model, the beam bending theories of Euler-Bernoulli and Rayleigh, and the two-dimensional membrane model. The performance of a variety of mass matrices is assessed by comparing the natural frequencies and their modes with those of the associated discrete systems, and it is demonstrated that the use of higher-order mass matrices reduces errors and improves convergence rates. Furthermore, finite element sizes larger than the corresponding physical length scale are shown to be sufficient to capture the natural frequencies, thus facilitating numerical models that are not only reliable but also computationally efficient.es
dc.description.sponsorshipThe authors acknowledge support from MCIN/ AEI/10.13039/501100011033 under Grants numbers PGC2018-098218-B-I00 and PRE2019-088002. FEDER: A way to make Europe. ESF invests in your future.es
dc.format.extent14es
dc.identifier.bibliographicCitationGómez-Silva, F., & Askes, H. (2023). Mass matrices for elastic continua with micro-inertia. Computers & Structures, 275, 106938.es
dc.identifier.doihttps://doi.org/10.1016/j.compstruc.2022.106938
dc.identifier.issn0045-7949
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue106938es
dc.identifier.publicationlastpage14es
dc.identifier.publicationtitleComputers & Structuresen
dc.identifier.publicationvolume275es
dc.identifier.urihttps://hdl.handle.net/10016/37450
dc.identifier.uxxiAR/0000032483
dc.language.isoengen
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. PGC2018-098218-B-I00es
dc.relation.projectIDGobierno de España. PRE2019-088002es
dc.relation.projectIDAT-2022
dc.rights© 2022 The Author.es
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.otherHigh-order mass matricesen
dc.subject.otherLength scaleen
dc.subject.otherMicro-inertia modelsen
dc.subject.otherNatural frequenciesen
dc.subject.otherNumerical analysisen
dc.titleMass matrices for elastic continua with micro-inertiaen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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