Analytical model of the dynamics of railway sleeper

Le Hung Tran (1) , Tien Hoang (1) , Gilles Forêt (1) , Denis Duhamel (1) , S Messad (2) , A Loaec (2)

1 navier umr 8205 - Laboratoire Navier
2 Sateba

The periodically supported beam is an analytical model of the dynamics of a railway track, where each rail together with its supports (sleepers) is independent of the other one. However , the sleepers connect the two rails and their behaviour could influence the response. This study develops an analytical model for this type of track by considering the sleepers as Euler-Bernoulli beams resting on a visco-elastic foundation. By using a relation between the reaction forces and displacement of the periodically supported beam [1], we can obtain a dynamic equation of a sleeper based on Dirac delta distribution. Then, the response of the sleepers can be obtained by using the Green function. This model is a fast method to calculate the dynamic responses of railway sleepers and track.

Mots clés: Green function; periodically supported beam; Railway; analytical method; Fourier transform

Domaines: Matériaux et structures en mécanique [physics.class-ph]

Le Hung Tran, Tien Hoang, Gilles Forêt, Denis Duhamel, S Messad, et al.. Analytical model of the dynamics of railway sleeper. 6 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Jun 2017, Rhodes Island, Greece. ⟨hal-01696191⟩