Dynamic response of ladder track rested on stochastic foundation under oscillating moving load

The ladder track is a new type of an elastically supported vibration-reduction track system
that has been applied to several urban railways. This paper is devoted to the investigation of
dynamic behavior of a ladder track under an oscillating moving load. The track is represented
by an infinite Timoshenko beam supported by a random elastic foundation. In this regard,
equations of motion for the ladder track are developed in a moving frame of reference. In
continuation, by employing perturbation theory and contour integration, the response of
the ladder track is obtained analytically and its results are verified using the stochastic
finite element method. Finally, using the verified model, a series of sensitivity analyses are
accomplished on effecting parameters including velocity and load frequency.