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The general dispersion relation for the vibration modes of helical springs

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dc.affiliation.areaUC3M. Área de Ingeniería Mecánicaes
dc.affiliation.dptoUC3M. Departamento de Ingeniería Mecánicaes
dc.affiliation.grupoinvUC3M. Grupo de Investigación: MECATRAN: Mecánica Experimental, Cálculo y Transporteses
dc.contributor.authorPrieto Fernández, Leopoldo
dc.contributor.authorQuesada González, Alejandro
dc.contributor.authorGómez Amador, Ana María
dc.contributor.authorDíaz López, Vicente
dc.date.accessioned2023-03-10T07:58:56Z
dc.date.available2023-03-10T07:58:56Z
dc.date.issued2022-08-01
dc.descriptionThis article belongs to the Special Issue Applied Mathematics to Mechanisms and Machines.en
dc.description.abstractA system of mathematical equations was developed for the calculation of the natural frequencies of helical springs, its predictions being compared with finite element simulation with ANSYS®. Authors derive the general equations governing the helical spring vibration relative to the Frenet trihedral representing the normal, binormal and tangent unit vectors to the spring medium line. The dispersion relation ω = f (k) has been obtained to model a wave traveling along the axis of the wire.en
dc.format.extent18
dc.identifier.bibliographicCitationPrieto, L., Quesada, A., Gómez Amador, A. M., & Díaz, V. (2022). The General Dispersion Relation for the Vibration Modes of Helical Springs. Mathematics, 10(15), 2698.en
dc.identifier.doihttps://doi.org/10.3390/math10152698
dc.identifier.issn2227-7390
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue15, 2698
dc.identifier.publicationlastpage18
dc.identifier.publicationtitleMathematicsen
dc.identifier.publicationvolume10
dc.identifier.urihttps://hdl.handle.net/10016/36802
dc.identifier.uxxiAR/0000032331
dc.language.isoengen
dc.publisherMDPIen
dc.rights© 2022 by the authors.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.otherHelical springen
dc.subject.otherVibrationen
dc.subject.otherFrenet trihedralen
dc.subject.otherDispersion relationen
dc.subject.otherNatural frequencyen
dc.titleThe general dispersion relation for the vibration modes of helical springsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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