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Open AccessArticle

A Study on a Mechanism of Lateral Pedestrian-Footbridge Interaction

1
School of Transportation and Civil Engineering &Architecture, Foshan University, Foshan 528225, China
2
School of Civil Engineering, Guangzhou University, Guangzhou 510006, China
3
Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hong Kong 999077, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(23), 5257; https://doi.org/10.3390/app9235257
Received: 4 November 2019 / Revised: 23 November 2019 / Accepted: 27 November 2019 / Published: 3 December 2019
(This article belongs to the Special Issue Bridge Dynamics)
Based on the pedestrian lateral force hybrid Van der Pol/Rayleigh model, this study investigates the interaction dynamic model of a pedestrian-flexible footbridge lateral coupling system. A multi scale method is adopted to decouple the equation. The paper also studies the nonlinear dynamic response of the pedestrian-footbridge coupling system as well as the relationship between the lateral displacement of pedestrians and flexible footbridges, and the lateral interaction of the two variables. The results show that with the same frequency tuning parameters, when the mass ratio of pedestrians and footbridges is very small, the larger the mass ratio is, the larger the lateral response amplitude of pedestrians becomes. Conversely, when the mass ratio of pedestrians and footbridges is much larger, the larger the mass ratio is, the smaller the response amplitude becomes. When the natural frequency of a footbridge is larger, its Phase Angle becomes larger. As the lateral amplitude of pedestrians increases, the Phase Angle approaches zero. Moreover, regarding the variation of the Phase Angle between the interaction force and footbridge lateral vibration speed based on the lateral relative displacement of pedestrians, of which the variation range is (0, π ), as the pedestrians’ lateral amplitude increases, the Phase Angle approaches − π / 2 . The dynamic load coefficient varies linearly with the lateral amplitude of pedestrian vibrations. View Full-Text
Keywords: footbridge; lateral pedestrian-footbridge interaction; hybrid Van der Pol/Rayleigh model; mechanism footbridge; lateral pedestrian-footbridge interaction; hybrid Van der Pol/Rayleigh model; mechanism
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MDPI and ACS Style

Chen, Z.; Chen, S.; Ye, X.; Zhou, Y. A Study on a Mechanism of Lateral Pedestrian-Footbridge Interaction. Appl. Sci. 2019, 9, 5257.

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