In this paper, the steady-state dynamic response of an embedded railway track to a moving train is investigated theoretically. The model for the track consists of a flexible plate performing vertical vibrations, two beams that are connected to the plate by continuous visco-elastic elements and an elastic foundation that supports the plate. Two harmonic loads that move uniformly along the beams describe the train load. The plate, the beams and the elastic foundation are employed to model a concrete slab of an embedded track, the rails and the ground reaction, respectively. The problem is studied by employing the Fourier integral transforms in the following way. Firstly, the dispersion analysis of waves that may propagate along the system is accomplished in the frequency-wavenumber domain. On the basis of this analysis, critical velocities of the loads are found both for the in-phase and anti-phase vibrations of the loads. Secondly, the vertical displacement of the rails and the slab, along with the stresses in the slab, are investigated as functions of the velocity and frequency of the loads. Finally, the response of the two-dimensional model is compared to that of a simplified one-dimensional model.
Analytical study of the dynamic response of an embedded railway track to a moving load
Analytische Untersuchung des dynamischen Verhaltens eines Bahngleises mit Betonfundament unter einer wandernden Last
Archive of Applied Mechanics (Ingenieur Archiv) ; 73 , 1-2 ; 131-146
2003
16 Seiten
Aufsatz (Zeitschrift)
Englisch
Dynamic response of an embedded railway track to a moving train
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