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Mathematical Problems in Engineering
Volume 2015, Article ID 309645, 11 pages
Research Article

Lateral Vibrations of a Cable-Stayed Bridge under Crowd Excitation

1School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, China
2Shanghai Publishing and Printing College, Shanghai Publication and Media Research Institute, Shanghai 200092, China
3School of Aerospace Engineering and Mechanics, Tongji University, Shanghai 200092, China

Received 13 June 2015; Revised 29 August 2015; Accepted 30 August 2015

Academic Editor: Stefano Lenci

Copyright © 2015 Lijun Ouyang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A cable-stayed bridge model under crowd excitation is established in this paper by considering the geometric nonlinear property of the cables. Lateral vibrations of the model are investigated by employing the center manifold theory, and the first-order approximation solution of the periodic vibration of the bridge is derived by using the energy method. Numerical simulations are carried out to verify the validity of our analytical expressions. Our research shows that the existence of the cables can reduce the amplitude and frequency of the bridge, especially for the large amplitude case. This might explain why measured data of a cable-stayed bridge (T-bridge in Japan) vibrating under crowd excitation are much less than the theoretical results reported in previous studies in which the cable-stayed bridge is viewed as a single-degree-of-freedom system. Our analysis results suggest that the structure types of footbridges should not be easily ignored in the study of pedestrian-footbridge interaction.