A 3D absolute nodal coordinate finite element model to compute the initial configuration of a railway catenary

Tur, M.; Garcia, Ephrahim; Baeza, Luis; Fuenmayor, F. J.

doi:10.1016/j.engstruct.2014.04.015

Cited by 107 publications

(60 citation statements)

References 35 publications

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“…Only the main features of the model are summarized here (for further information see [17]). An example of this model is depicted in Fig.…”

Section: Catenary Finite Element Modelmentioning

confidence: 99%

“…The tension in the messenger and the contact wire, and the height of the latter are the main constraints taken into account. A thoroughly detailed account of a method of dealing with the 'shape-finding' problem of the overhead line can be found in [17]. In this contribution, it is assumed that the initial configuration problem is solved, i.e.…”

Section: Static Equilibrium Problemmentioning

confidence: 99%

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Parametric model for the simulation of the railway catenary system static equilibrium problem

Gregori

Tur

Nadal

et al. 2016

Finite Elements in Analysis and Design

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a b s t r a c tDynamic simulations of pantograph-catenary interaction are nowadays essential for improving the performance of railway locomotives, by achieving better current collection at higher speeds and lower wear of the collecting parts. The first step in performing these simulations is to compute the static equilibrium of the overhead line. The initial dropper lengths play an important role in hanging the contact wire at an appropriate height. From a classical point of view, if one wants to obtain the static equilibrium configuration of the system for different combinations of dropper lengths, one static problem must be solved for each combination of lengths, which involves a prohibitive computational cost. In this paper we propose a parametric model of the catenary, including the undeformed dropper lengths as extra-coordinates of the problem. This multidimensional problem is efficiently solved by means of the Proper Generalized Decomposition (PGD) technique, avoiding the curse of dimensionality issue. The capabilities and performance of the proposed method are shown by numerical examples.

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“…Only the main features of the model are summarized here (for further information see [17]). An example of this model is depicted in Fig.…”

Section: Catenary Finite Element Modelmentioning

confidence: 99%

Section: Static Equilibrium Problemmentioning

confidence: 99%

Parametric model for the simulation of the railway catenary system static equilibrium problem

Gregori

Tur

Nadal

et al. 2016

Finite Elements in Analysis and Design

Self Cite

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“…In fact, when the tension, pre-sag of contact wire, length of span, arrangement of droppers are given, the initial length of messenger and contact wires are uncertain. Tur et al [14] proposed a catenary shape-finding method for catenary based on the absolute nodal coordinate method. This method transfers the shape-finding problem of catenary to an optimization problem to ensure a minimum solution of the following function:…”

Section: Solution For Catenary Equilibrium Statementioning

confidence: 99%

Advances of research on high-speed railway catenary

Liu

Song

et al. 2017

J. Mod. Transport.

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The interaction between the catenary and pantograph is one of the most crucial factors that determine the train operation in high-speed railway. The bad state of catenary is able to directly influence the power supply safety of traction power system. In this paper, four aspects on the catenary research of high-speed railway are reviewed in detail, namely the solution methods for catenary equilibrium state, the dynamic modeling methods of catenary, non-contact detection methods of catenary, and the static and dynamic evaluation methods of catenary. In addition, their recent advances are described. For the low solution accuracy of the initial equilibrium state of catenary, the structure finding method with multi-objective constraint and nonlinear finite element procedure are introduced to solve the problem. For the catenary's dynamic modeling, considering the influence of environmental wind on the catenary, environmental wind simulations and wind tunnel tests are used to obtain the aerodynamic coefficients and build the wind field along the catenary for analysis of its wind vibration characteristics. In order to improve the detection accuracy of non-contact detection for the catenary, the deep learning theory and real-time detection algorithms should be adopted in the future. In view of the lack of dynamic assessment method for the catenary, the modern spectrum evaluation, timefrequency analysis, big data technology and their combinations will be the important means for future catenary evaluation.Keywords High-speed railway Á Modeling of catenary Á Simulation of catenary Á Detection of catenary Á Evaluation of catenary

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“…This assumption is not made in [45], where the proposed strategy leads to very accurate results. Finally, one of the most reliable methods present in the current literature was proposed in [69] and it is fully exploited in this Thesis. It is based on the use of ANCF beam elements to build a nonlinear problem in which the nodal coordinates and the initial lengths of certain groups of elements are set as unknowns to fulfil both the static equilibrium and the design requirements.…”

Section: Initial Configuration Problemmentioning

confidence: 99%

“…The second type of problem, the initial configuration problem, also known as the 'shape-finding' problem, consists of obtaining the nodal coordinates and the initial length of each element which fulfil both the static equilibrium equations and certain constraints imposed by design. In this work, the method proposed in [69] is fully adopted.…”

Section: Static Equilibrium and Initial Configuration Problemsmentioning

confidence: 99%

Efficient simulation of the pantograph-catenary dynamic interaction. Catenary optimisation and installation error analysis

Verdú¹

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Dr. Vocal:Dr.Secretary: Dr. Valencia, May 2018 AbstractModelling and simulation of the dynamic interaction between pantograph and catenary has become a powerful tool to expedite the catenary design process since, among other advantages, it helps in reducing the number of the costly experimental in-line tests.In order to tackle these numerical simulations, in this Thesis the catenary system is modelled by the Finite Element technique, based on the absolute nodal coordinates formulation, while a simple lumped-mass model is used for the pantograph. The interaction between the two systems is accomplished with a penalty formulation. After solving the initial nonlinear configuration problem, the equation of motion is linearised with respect to the static equilibrium position and it is then solved in time by applying the Hilber-Hughes-Taylor (HHT) time integration method. However, dropper slackening and pantograph contact losses are two sources of nonlinearities which must be considered in the solution procedure at the expense of an increase in the computational cost.The main objectives of this Thesis are both to find optimal catenaries in terms of current collection quality and to analyse the effect of installation errors in the dynamic behaviour of the system. To achieve these goals, it is mandatory to perform a large number of pantograph-catenary dynamic simulations for which the computational cost can become prohibitive.In order to reduce this computational effort, the first proposal made in this Thesis is to precompute a parametric solution of the pantograph-catenary dynamic interaction for all values of the design variables, by means of the Proper Generalised Decomposition (PGD) technique. Thus, the dynamic response of the system would be instantly available when it is requested by the optimisation or the stochastic algorithms. If dropper lengths are considered as design variables, this parametric approach is successful when applied to the static equilibrium problem. Nevertheless, in the dynamic case, when dropper slackening is considered, the solution exhibits a vii great sensitivity to small changes in the parameters and therefore, a huge number of PGD modes are required to obtain the parametric solution with enough accuracy.The impossibility of having a parametric solution leads the author to propose a fast strategy to simulate the dynamic interaction problem, providing remarkable saves in computational cost. The method is divided into two stages which are based on moving the nonlinear terms to the right hand side of the dynamic equation. In the first stage, the response of the system under unitary forces is precomputed and stored. Then, in the second stage of the method, the treatment of the nonlinearities is condensed into a small system of equations, whose unknowns are now the forces associated with the nonlinearities instead of the nodal displacements of the whole system.With this proposed algorithm, it is possible to carry out efficient optimisations of the catenary geometry. Specifically, contact wire he...

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A 3D absolute nodal coordinate finite element model to compute the initial configuration of a railway catenary

Cited by 107 publications

References 35 publications

Parametric model for the simulation of the railway catenary system static equilibrium problem

Parametric model for the simulation of the railway catenary system static equilibrium problem

Advances of research on high-speed railway catenary

Efficient simulation of the pantograph-catenary dynamic interaction. Catenary optimisation and installation error analysis

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