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The paper presents a simple and fast method for predicting the vibrations of a vehicle moving on a track with a given technical condition. In the proposed approach, transfer function matrix models describing the dynamics of train components caused by the interaction of the rail vehicle-track system were used to analyze. The propagation of vibrations generated from the interaction of the wheel set with the track to selected elements of the rail vehicle is approximated by frequency-dependent homogeneous relations. The developed numerical vehicle-track model was generated on the basis of recorded accelerations at selected measurement points of a real rail vehicle and from track geometric data collected by a measuring trolley at given speeds of the entire system. The developed method is based on a model of the rail vehicle system.