Abstract
In railway system dynamics the dynamic stability problem has significant role particularly when it comes to dealing with the motion of the vertically deformable joints on damped Winkler foundation. Timoshenko and Euler-Bernoulli beam equations are the two widely used methods for dynamics analysis of this problem. This paper describes a comparison between Euler-Bernoulli and Timoshenko beam equations to investigate the track motion dynamic stability via solving the fourth order partial differential of the both models on an Elastic Foundation. This article aims at identifying an efficient model for future investigation on the track motion dynamics stability for the advanced railway systems.
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