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On the critical velocity of a mass moving along an infinite beam supported by three viscoelastic layers

dc.contributor.authorDimitrovová, Z.
dc.contributor.authorMazilu, T.
dc.contributor.institutionDEC - Departamento de Engenharia Civil
dc.contributor.pblInstitute of Physics (IoP)
dc.date.accessioned2026-01-14T14:23:24Z
dc.date.available2026-01-14T14:23:24Z
dc.date.issued2024-06-28
dc.descriptionFunding information: The work of the first author was supported by the Portuguese Foundation for Science and Technology (FCT), through IDMEC, under LAETA, project UIDB/50022/2020. The work of the second author was supported by a grant of the Ministry of Research, Innovation and Digitization, CCCDI—UEFISCDI, project number PN-III-P2-2.1-PED-2021-0601, within PNCDI III. Publisher Copyright: © Published under licence by IOP Publishing Ltd.
dc.description.abstractNumerical assessment of the dynamic behaviour of structures subject to moving loads are under huge development, as are other approaches, to mention e.g. (semi)analytical methods and methods based on frequency-domain moving Green's function. This contribution is focused on an infinite beam supported by three viscoelastic layers, which, due to its computational efficiency and relatively good approximation of reality, is a quite common model of a railway line. New developments that are presented concern the instability of a moving mass. The critical velocity in this context will be used for the lowest velocity that separates stable and unstable behaviour. The two above-mentioned methods are compared in terms of computational efficiency and accuracy of the obtained results. All results are presented in dimensionless form to cover a wide range of possible scenarios. When the frequency-domain moving Green's function is used to calculate the critical velocity via D-decomposition method, then a little damping should be considered for numerical stability. The semianalytical approach, on the other hand, can deal with both undamped and damped structures without any problems. Nevertheless, the final results obtained by the two methods (in the Green's function approach under the assumption of very low damping) are identical.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent11
dc.format.extent1289493
dc.identifier.doi10.1088/1742-6596/2647/25/252017
dc.identifier.issn1742-6588
dc.identifier.otherPURE: 107538505
dc.identifier.otherPURE UUID: 051415cc-88eb-4cb3-9672-25a81d049daf
dc.identifier.otherScopus: 85198500274
dc.identifier.urihttp://hdl.handle.net/10362/198892
dc.identifier.urlhttps://www.scopus.com/pages/publications/85198500274
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F50022%2F2020/PT
dc.subjectGeneral Physics and Astronomy
dc.titleOn the critical velocity of a mass moving along an infinite beam supported by three viscoelastic layersen
dc.typejournal article
degois.publication.firstPage1
degois.publication.issue25
degois.publication.lastPage11
degois.publication.titleJournal of Physics: Conference Series
degois.publication.volume2647
dspace.entity.typePublication
rcaap.rightsopenAccess

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