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research-article

Dynamic analytic model of pre-stressed concrete mono-block railways sleepers

[+] Author and Article Information
Le Hung Tran

Laboratoire Navier, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, Champs-sur-Marne, France
le-hung.tran@enpc.fr

Tien Hoang

Laboratoire Navier, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, Champs-sur-Marne, France
tien.hoang@enpc.fr

Denis Duhamel

Laboratoire Navier, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, Champs-sur-Marne, France
denis.duhamel@enpc.fr

Gilles Foret

Laboratoire Navier, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, Champs-sur-Marne, France
gilles.foret@enpc.fr

Samir Messad

Sateba, Tour Europe, 33 places des Corolles, 92400 Courbevoie, France
s.messad@sateba.com

Arnaud Loaec

Sateba, Tour Europe, 33 places des Corolles, 92400 Courbevoie, France
a.loaec@sateba.com

1Corresponding author.

ASME doi:10.1115/1.4040392 History: Received May 17, 2017; Revised May 21, 2018

Abstract

Existing analytical models for the railway track consider only one rail supported by a continuous foundation or periodic concentrated supports (called the periodically supported beam). This article presents an analytical model for a railway track which includes two rails connected by sleepers. By considering the sleepers as Euler-Bernoulli beams resting on a Kelvin-Voigt foundation, we can obtain a dynamic equation of a sleeper subjected to the reaction forces of the rails. Then, by using the relation between the rail forces and displacements from the periodically supported beam model, we can calculate the sleeper responses with the help of Green's function. The numerical applications shows that the sleeper is in flexion where the displacement at the middle of the sleeper is greater than those at the rail seats. Moreover, the deformed shape of the sleeper is non-symmetric when the loads on the two rails are different. The result of the model agrees well with measurements performed using instrumented sleepers in-situ.

Copyright (c) 2018 by ASME
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