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New low-order continuum models for the dynamics of a Timoshenko beam lattice with next-nearest interactions

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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.authorZaera, Ramón
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-04-27T09:52:42Z
dc.date.available2023-04-27T09:52:42Z
dc.date.issued2022-11
dc.descriptionArtículo de acceso abierto (OA), confirmado con el editor. En la plataforma consta como OA, pero el fichero del artículo tiene, erróneamente, copyright de Elsevier.es
dc.description.abstractIn this paper, the dynamic behaviour of a novel Timoshenko beam lattice with long-range interactions, accounting for both bending and shear deformations, is investigated. Several new non-classical continuum models are developed with the aim of capturing its dispersive behaviour with a lower computational cost. For this, innovative continualization procedures are used, comparing them with techniques commonly used in lattices continualization, as well as with advanced ones. Moreover, low-order continuum governing equations are pursued, thus avoiding the need for extra boundary conditions, whose physical meaning is unclear. A comprehensive analysis of the transition frequency, which initiates the shear propagation spectrum, has been performed here for the first time for this lattice and the corresponding continuum models. The capability of these continuum models in capturing the behaviour of the lattice is assessed by conducting both dispersion and natural frequency analyses, for the latter providing an original method to treat the edges for the three possible boundary conditions in Timoshenko beam lattices. The influence of long-range interactions is analysed, and the way shear effect affects the shape vibration modes of the discrete model is interestingly illustrated, finally concluding that some of the new developed continuum models accurately capture the behaviour of the lattice.en
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.en
dc.format.extent19
dc.identifier.bibliographicCitationGómez-Silva, F., & Zaera, R. (2022). New low-order continuum models for the dynamics of a Timoshenko beam lattice with next-nearest interactions. Computers & Structures, 272, 106864.en
dc.identifier.doihttps://doi.org/10.1016/j.compstruc.2022.106864
dc.identifier.issn0045-7949
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue106864
dc.identifier.publicationlastpage19
dc.identifier.publicationtitleComputers & Structuresen
dc.identifier.publicationvolume272
dc.identifier.urihttps://hdl.handle.net/10016/37209
dc.identifier.uxxiAR/0000031839
dc.language.isoeng
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 Authors.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaBiología y Biomedicinaes
dc.subject.ecienciaElectrónicaes
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.ecienciaTelecomunicacioneses
dc.subject.otherContinualizationen
dc.subject.otherDynamic behaviouren
dc.subject.otherNext-nearest interactionsen
dc.subject.otherPseudo-differential operatoren
dc.subject.otherTimoshenko beam latticeen
dc.subject.otherTransition frequencyen
dc.titleNew low-order continuum models for the dynamics of a Timoshenko beam lattice with next-nearest interactionsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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