A new pedestrian-footbridge interaction model

DOI

10.2991/iceesd-18.2018.116How to use a DOI?

Keywords

suspension footbridge; bifilar pendulum; Mathieu equation; Hill equation; stability.

Abstract

In this paper “the plane bifilar pendulum model” is proposed to understand excessive lateral vibration of a suspension footbridge under crowd excitation. We use a plane bifilar pendulum to describe a suspension bridge by considering its structural features, which consists of two strings and a central rigid body representing the cables and deck of the footbridge respectively. In addition, the vertical and lateral forces exerted by crowd on the deck both are considered to be harmonic with constant amplitudes. According to Lagrange method, we found that the dynamic behavior of the suspension footbridge under crowd-induced excitation can be described by a Hill equation. The solution and its stability of the plane pendulum model are theoretically analyzed based on the perturbation method, the correctness of which is verified by numerical simulations. By applying the analytical results to the London Millennium Bridge (a famous suspension bridge), we can easily explain the occurrence of excessive lateral vibration with 0.48 and 0.96 Hz and the “lock-in” phenomenon. Our research suggests that structural features of a suspension footbridge should not be ignored in the investigation of the pedestrian-footbridge interaction.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Bin Zhen
AU  - Xichen Chen
PY  - 2018/05
DA  - 2018/05
TI  - A new pedestrian-footbridge interaction model
BT  - Proceedings of the 2018 7th International Conference on Energy, Environment and Sustainable Development (ICEESD 2018)
PB  - Atlantis Press
SP  - 635
EP  - 638
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceesd-18.2018.116
DO  - 10.2991/iceesd-18.2018.116
ID  - Zhen2018/05
ER  -