Vol. 12, No. 5, 2017

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Analysis of pedestrian-induced lateral vibration of a footbridge that considers feedback adjustment and time delay

Jia Buyu, Chen Zhou, Yu Xiaolin and Yan Quansheng

Vol. 12 (2017), No. 5, 617–632
Abstract

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
Milestones
Received: 19 January 2017
Revised: 25 May 2017
Accepted: 30 May 2017
Published: 22 November 2017
Authors
Jia Buyu
School of Civil Engineering and Transportation
South China University of Technology
Guangzhou
China
Chen Zhou
College of Transportation & Civil Engineering and Architecture
Foshan University
Foshan
China
Yu Xiaolin
School of Civil Engineering and Transportation
South China University of Technology
Guangzhou
China
Yan Quansheng
School of Civil Engineering and Transportation
South China University of Technology
Guangzhou
China