Dynamic Analysis for Lateral Vibrations of Footbridges under Crowd Based on a Two-Degrees-of-Freedom Model
Joint Authors
Zhen, Bin
Chang, Liang
Qi, Wenbang
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Nakamura’s model is widely used to describe lateral vibrations of a footbridge induced by crowd.
The predicted responses of Nakamura’s model were compared with measured data of T-bridge and M-bridge in Japan to demonstrate the validity.
However, the predicted responses based on Nakamura’s model almost always were stronger than measured data.
Considering that both T-bridge and M-bridge are cable-stayed bridges, it seems to be not precise enough to simplify a cable-stayed bridge as a single degree of freedom system in Nakamura’s model.
In this paper, we establish a two-degrees-of-freedom model to describe lateral vibrations of a cable-stayed bridge.
The cables have one degree, and the bridge deck has the other.
Additionally, in this model we introduce a time delay in interaction between the bridge and pedestrians.
By employing the center manifold theory, we find that a subcritical Hopf bifurcation occurs in the two-degrees-of-freedom model.
We theoretically and numerically illustrate that the cables and time delay have significant influence on the lateral vibration amplitude of a footbridge under crowd.
The appropriate increases of tension in the cables and time delay both can decrease the lateral vibration amplitude.
The analysis for the proposed two-degrees-of-freedom model shows that the predicted responses of Nakamura’s model can better agree with the measured date if we take the influence of cables and time delay into account.
American Psychological Association (APA)
Zhen, Bin& Qi, Wenbang& Chang, Liang. 2019. Dynamic Analysis for Lateral Vibrations of Footbridges under Crowd Based on a Two-Degrees-of-Freedom Model. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1197003
Modern Language Association (MLA)
Zhen, Bin…[et al.]. Dynamic Analysis for Lateral Vibrations of Footbridges under Crowd Based on a Two-Degrees-of-Freedom Model. Mathematical Problems in Engineering No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1197003
American Medical Association (AMA)
Zhen, Bin& Qi, Wenbang& Chang, Liang. Dynamic Analysis for Lateral Vibrations of Footbridges under Crowd Based on a Two-Degrees-of-Freedom Model. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1197003
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197003