Static form-finding of normal and defective catenaries based on the analytical exact solution of the tensile Euler–Bernoulli beam

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dc.contributor.authorVesali, Farzad
dc.contributor.authorRezvani, Mohammad Ali
dc.contributor.authorMolatefi, Habibolah
dc.contributor.authorHecht, Markus
dc.date.accessioned2020-11-12T10:09:36Z
dc.date.available2020-11-12T10:09:36Z
dc.date.issued2018-11-16
dc.date.updated2020-05-27T17:39:23Z
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.en
dc.descriptionDieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.de
dc.description.abstractThe aim of this research is to propose and develop an analytical exact solution for finding the static equilibrium configuration of a catenary before and after incurring defects such as tension loss or a broken dropper. The procedure includes considering the steady-state solution of the dynamic motion equation of the contact wire and the messenger cable. The wire and the cable are considered as tensile Euler–Bernoulli beams. The stiffness matrix of the beam is configured and is used to calculate the dropper's dead load. Progressively, a novel method is proposed to find the equilibrium configuration of the same catenary after the defect. The results prove that the tension loss in the messenger cable is more precarious than the tension loss in the contact wire. The broken dropper causes a significant sag in the sub-span and increases the static forces of the adjacent droppers. A comparison with field measurements justifies the accuracy of the results of the proposed model.en
dc.identifier.eissn2041-3017
dc.identifier.issn0954-4097
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11911
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10802
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc380 Handel, Kommunikation, Verkehrde
dc.subject.othercatenaryen
dc.subject.otherstatic form-findingen
dc.subject.otherbroken dropperen
dc.subject.othertension lossen
dc.subject.otherexact solutionen
dc.titleStatic form-finding of normal and defective catenaries based on the analytical exact solution of the tensile Euler–Bernoulli beamen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1177/0954409718808990en
dcterms.bibliographicCitation.issue7en
dcterms.bibliographicCitation.journaltitleProceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transiten
dcterms.bibliographicCitation.originalpublishernameSAGEen
dcterms.bibliographicCitation.originalpublisherplaceLondonen
dcterms.bibliographicCitation.pageend700en
dcterms.bibliographicCitation.pagestart691en
dcterms.bibliographicCitation.volume233en
tub.accessrights.dnbdomain*
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Land- und Seeverkehr (ILS)::FG Schienenfahrzeugede
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Schienenfahrzeugede
tub.affiliation.instituteInst. Land- und Seeverkehr (ILS)de
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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