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

Figure 3

Comparisons of dynamic responses of the simply supported beam obtained by FSM and FEM (; ; ; stands for the time that the whole length of beam is subjected to the distributed force; stands for the time that the whole length of force have departed from the beam, which will vibrate freely later). (a) Displacement of beam due to . (b) Displacement of beam due to (n = 1). (c) Displacement of beam due to (n = 1). (d) Displacement of beam due to (n = 3).

(a)

(b)

(c)

(d)