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A Suspension Footbridge Model under Crowd-Induced Lateral Excitation

Authors :
Lijun Ouyang
Bin Ding
Tingting Li
Bin Zhen
Source :
Shock and Vibration, Vol 2019 (2019)
Publication Year :
2019
Publisher :
Hindawi Limited, 2019.

Abstract

In this paper, a plane pendulum model is proposed to investigate the lateral vibration of a suspension bridge under crowd excitation. The plane model consists of two strings and a rigid body, which represent cables and the bridge deck, respectively. The lateral force induced by crowd is expressed as a cosine function with random phase. Comparing with other existing pedestrian-footbridge interaction models, the proposed model has two features: one is that the structural characteristics of the suspension bridge are taken into account. The other is that the expression of the lateral force induced by crowd has a unified form for different lateral bridge amplitudes. By numerically analyzing the solution stability of the plane model, we exhibit the whole changing process how a suspension bridge increases its lateral amplitude from small to large. It is shown that the worst case occurs when the lateral natural frequency of the bridge is half the lateral step frequency of the pedestrians. Based on the analysis results, the plane pendulum model can be easily used to explain why the central span of the London Millennium Bridge has large lateral oscillations at about 0.48 Hz.

Subjects

Subjects :
Physics
QC1-999

Details

Language :
English
ISSN :
10709622 and 18759203
Volume :
2019
Database :
Directory of Open Access Journals
Journal :
Shock and Vibration
Publication Type :
Academic Journal
Accession number :
edsdoj.9ace05346593467fa410f8dd39b6a361
Document Type :
article
Full Text :
https://doi.org/10.1155/2019/8058191