A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics

Sumelka, W.; Zaera, Ramón; Fernández-Sáez, José

Publication:
A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics

dc.affiliation.dpto	UC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras	es
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructurales	es
dc.contributor.author	Sumelka, W.
dc.contributor.author	Zaera, Ramón
dc.contributor.author	Fernández-Sáez, José
dc.date.accessioned	2022-12-13T12:38:19Z
dc.date.available	2022-12-13T12:38:19Z
dc.date.issued	2015-09-01
dc.description.abstract	In this paper we present a theoretical analysis of free axial vibrations of rods described in terms of the fractional continuum mechanics. This formulation is able to capture the size effect arising in different problems of solid mechanics. The natural frequencies and modal shapes for clamped rods are obtained and the effects of the derivative order, as well as the corresponding length-scale parameters in the fractional model are discussed. The results are compared with those derived from the Eringen non-local elasticity theory, which is an approach widely used to model structures showing size effects.	en
dc.format.extent	15	es
dc.identifier.bibliographicCitation	Sumelka, W., Zaera, R., & Fernández-Sáez, J. (2015). A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics. Meccanica, 50(9), 2309–2323.	en
dc.identifier.doi	https://doi.org/10.1007/s11012-015-0157-5
dc.identifier.issn	0025-6455
dc.identifier.issn	1572-9648 (electronic)
dc.identifier.publicationfirstpage	2309	es
dc.identifier.publicationissue	9	es
dc.identifier.publicationlastpage	2323	es
dc.identifier.publicationtitle	Meccanica	en
dc.identifier.publicationvolume	50	es
dc.identifier.uri	https://hdl.handle.net/10016/36170
dc.identifier.uxxi	AR/0000017148
dc.language.iso	eng	en
dc.publisher	Springer	en
dc.rights	© The Author(s) 2015. This article is published with open access at Springerlink.com	en
dc.rights	This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.	en
dc.rights	Atribución 3.0 España	*
dc.rights.accessRights	open access	en
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/	*
dc.subject.eciencia	Ingeniería Mecánica	es
dc.subject.other	Non-local models	en
dc.subject.other	Rods	en
dc.subject.other	Fractional calculus	en
dc.title	A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics	en
dc.type	research article	*
dc.type.hasVersion	VoR	*
dspace.entity.type	Publication