Research on pedestrian-bridge dynamic interaction has intensified in recent years
after the occurrence of several footbridge accidents caused by pedestrian-induced
vibration. This study focuses on the analysis of pedestrian-induced lateral vibration
of footbridges by considering the time delay and feedback adjustment that occur in
the interaction between the pedestrians and the footbridge. A detailed nonlinear
lateral vibration model is first established. Then, the bifurcation and stability of this
model around the critical value of time delay is discussed using a qualitative method.
Moreover, response amplitude and the critical number of pedestrians are evaluated
using a multiscale method. Analysis of the results shows that the time delay and
feedback adjustment play important roles in controlling the lateral vibration of the
footbridge.
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