The Vertical Path of a Wheel Moving Along a Railway Track.

Differences between Euler-Bernoulli and Timoshenko beam formulations for calculating the effects of moving loads on a periodically supported beam

“…Table 2 lists these values and the corresponding results for a range of support stiffness values for the three models. As the support stiffness increases, the relative amplitude of the stiffness variation increases approximately in proportion to the support stiffness [10]. However, due to the presence of KT in the denominator of Equation ( 16), the equivalent roughness (for the wheel) only increases by a factor of around 2 for an order of magnitude increase in support stiffness.…”

“…In the results in the previous section the moving load is approximated by a static load applied at different positions within the span length [10]. In this section, to include the effect of load speed explicitly, the method of Sheng et al [14] is used.…”

“…This can lead to a parametric excitation at the sleeper-passing frequency. An early study was carried out by Inglis [10] who approximated this parametric excitation by the variation in the quasi-static response of the system to a very slowly moving load. He also considered dynamic effects and showed that softer supports lead to a reduced range of movement.…”