Abstract
A train, during its run, executes vibrations coupled with the flexible track and the yielding foundation due to track-induced excitations. An analytical approach is outlined for evaluation of the response characteristics of this system. The vehicle is modelled as lumped masses with linear springs and dampers. The track is a finite length, uniform section beam with random uneveness over the mean line. The supporting foundation is assumed to behave linearly while providing stiffness, damping and inertial resistance to the track vibrations. The vehicle may have variable speed along the track. The equations of motion are decoupled into generalized co-ordinates for the lumped masses and the track mode shapes. The analysis yields closed form expressions for the second order statistics of the response.
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