Fourier Series Approach for the Vibration of Euler–Bernoulli Beam under Moving Distributed Force: Application to Train Gust

Figure 13

Central displacements of each span of the 4-span continuous purlin due to the high-speed train passing with speed 344.797 km/h (S_D_H, S_D_C, and S_D_T stand for static displacements of the purlin due to the passing of head, coupler, and tail, respectively; D_D_H, D_D_C, and D_D_T stand for dynamic displacements of the purlin due to the passing of head, coupler, and tail, respectively).