Track irregularities stochastic modeling

Guillaume Perrin (1, 2) , Christian Soize (1) , Denis Duhamel (3) , Christine Fünfschilling (4)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 navier umr 8205 - Laboratoire Navier
3 Dynamique des structures et identification
4 SNCF - Direction de l'Innovation et de la Recherche

A better understanding of the interaction between the dynamics of high speed trains and the track geometry is needed. As during its lifecycle, the train faces a great variability of track conditions, this dynamic behavior has indeed to be characterized on track portions sets that are representative of the whole railway network. This paper is thus devoted to the development of a stochastic modeling of the track geometry and its identification with experimental measurements. Based on a spatial and statistical decomposition, this model allows the spatial and statistical variability and dependency of the track geometry to be taken into account. Moreover, it allows the generation of realistic track geometries that are representative of a whole railway network. First, this paper describes a practical implementation of the proposed method and then applies this method to the modeling of a particular French high speed line, for which experimental data are available.

Mots clés: Uncertainty Quantification; Karhunen-Loève expansion; Polynomial Chaos Expansion; Random fields; Railway Track Geometry; UQ

Domaines: Mécanique [physics.med-ph]; Statistiques [math.ST]; Théorie [stat.TH]; Probabilités [math.PR]

Guillaume Perrin, Christian Soize, Denis Duhamel, Christine Fünfschilling. Track irregularities stochastic modeling. Probabilistic Engineering Mechanics, 2013, 34 (-), pp.123-130. ⟨10.1016/j.probengmech.2013.08.006⟩. ⟨hal-00850645⟩