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The vibration of cable-stayed bridges subjected to the passage of high-speed trains is studied in this article. The moving train includes a number of wagons, each of which is modeled as a four-axle system possessing 48 degrees of freedom. The car model is nonlinear and three-dimensional and includes nonlinear springs and dampers of primary and secondary suspensions, dry friction between different parts and also clearances and mechanical stops. Two parallel rails of the track are modeled as Euler-Bernoulli beams on elastic points as rail pads. The rail irregularities are assumed to be stationary random and ergodic processes in space, with Gaussian amplitude probability densities and zero mean values. The bridge deck is modeled as a plate supported by some cables. The current model is validated using several numerical models reported in the literature of the earlier researcher.