2018
DOI: 10.1177/0954409718808990
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Static form-finding of normal and defective catenaries based on the analytical exact solution of the tensile Euler–Bernoulli beam

Abstract: The 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 … Show more

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Cited by 23 publications
(18 citation statements)
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“…The realistic contact wire commonly exhibits a significant irregularity along the track length. However, besides local defects considered by Antunes et al [10] and Vesali et al [16], this variability has not been considered in the initialisation of the catenary.…”
Section: Literature Reviewmentioning
confidence: 99%
See 1 more Smart Citation
“…The realistic contact wire commonly exhibits a significant irregularity along the track length. However, besides local defects considered by Antunes et al [10] and Vesali et al [16], this variability has not been considered in the initialisation of the catenary.…”
Section: Literature Reviewmentioning
confidence: 99%
“…If x l , y l , and z l are given, 16 ff can be obtained by solving Eq. (1-2) through the Newton-Raphson method.…”
Section: Cable and Truss Elementsmentioning
confidence: 99%
“…Recently, the modelling of degradation has been an emerging technique to utilise the numerical model to predict service performance [18]. Based on this idea, the defective droppers [19,20], irregularity [21], contact wire wear [22] and the tension variation [23] are correctly modelled and included in the assessment of pantographcatenary interaction. It is worthwhile to mention the works of Van et al [24] and Gregori et al [25].…”
Section: Introductionmentioning
confidence: 99%
“…The moving mesh methods [18, 19] were widely employed to improve simulation efficiency. The defects of catenary, including the tension loss [20], irregularities [21], variant height [22], defective droppers [23] and wear [24] were properly modelled, and their effects on the current collection quality were assessed.…”
Section: Introductionmentioning
confidence: 99%