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.
Keywords
footbridge, nonlinear vibration, lateral displacement, time
delay, feedback adjustment