A new pedestrian-footbridge interaction model
- 10.2991/iceesd-18.2018.116How to use a DOI?
- suspension footbridge; biﬁlar pendulum; Mathieu equation; Hill equation; stability.
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.
- © 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/).
Cite this article
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 -