Generalized continuum model for the analysis of nonlinear vibrations of taut strings with microstructure

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dc.contributor.author Serrano González, Óscar
dc.contributor.author Zaera, Ramón
dc.contributor.author Fernández-Sáez, José
dc.contributor.author Ruzzene, M.
dc.date.accessioned 2022-09-23T10:14:54Z
dc.date.available 2022-09-23T10:14:54Z
dc.date.issued 2019-06-01
dc.identifier.bibliographicCitation International Journal of Solids and Structures, (2019), v. 164, pp.: 157-167.
dc.identifier.issn 0020-7683
dc.identifier.uri http://hdl.handle.net/10016/35776
dc.description.abstract Classical continuum models are unable to capture the response of a microstructured solid when the scale effect is relevant. In vibration analysis, this limitation appears when the solid undergoes vibrations of wavelength that approaches the characteristic length of the microstructure. A discrete model may be formulated to account for this effect, but this comes at the expenses of high computational costs. For example, scale effects are relevant in strings employed in sensing applications which often rely on information gathered in the nonlinear dynamic regime. In this work, we study the dynamic behavior of a taut string modeled as a lattice of particles linked to first neighbors by linear springs. We develop an inertia-gradient generalized continuum model of the chain, which undergoes nonlinear vibrations. Unlike the corresponding classical continuum model, enrichment of the kinetic energy density with the characteristic length of the microstructure permits the model to capture short-wavelength vibrations. Comparison of the response predicted by the continuum models highlights that the generalized model provides better estimations of the dynamic response of the considered microstructured string in the nonlinear regime and at short wavelengths.
dc.description.sponsorship Program during academic year 2017-18. This work was supported by the Ministerio de Economía y Competitividad de España (grant numbers DPI2014-57989-P and BES-2015-073720).
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2019 Published by Elsevier Ltd.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Scale effect
dc.subject.other Gradient continuum model
dc.subject.other Taut string
dc.subject.other Nonlinear vibration
dc.subject.other Microstructure
dc.title Generalized continuum model for the analysis of nonlinear vibrations of taut strings with microstructure
dc.type article
dc.description.status Publicado
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1016/j.ijsolstr.2019.01.014
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. DPI2014-57989-P
dc.relation.projectID Gobierno de España. BES-2015-073720
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 157
dc.identifier.publicationlastpage 167
dc.identifier.publicationtitle INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
dc.identifier.publicationvolume 164
dc.identifier.uxxi AR/0000023492
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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