Simulation study on coupled lateral vibration of crowd-footbridge system driven by walking force

doi:10.16265/j.cnki.issn1003-3033.2023.04.1014

Abstract

Abstract:

Aiming at the problem of abnormal vibration of long-span, slender and lightweight footbridge under the excitation of moving crowd load, the simply supported beam was used as the basic model of the bridge, and the social force model was used as the basic model of the pedestrian to describe the characteristics of pedestrian walking speed and dynamic walking frequency. The crowd-bridge coupling vibration model driven by pedestrian walking force was established to analyze the influence mechanism of pedestrian and footbridge related parameters on the coupled lateral vibration of the system. The results shows that when the number of pedestrians on the bridge exceeds a certain scale, there will be synchronization of the crowd-bridge system and large-scale lateral vibration of the footbridge. The synchronization process can be determined by the pedestrian phase change rate, when the lower limit of the order parameter R is 0.6, the system reaches the synchronization state. As the pedestrian arrival rate increases, the critical number of people causing resonance gradually decreases, and the time to reach synchronization tends to increase. When the pedestrian arrival rate is constant, the in creased sensitivity C value of pedestrian to footbridge vibration reduces the system synchronization time. When the proportion of the basic parameters of the footbridge is constant, the length change will have a significant impact on the critical number of people. With the increase of damping ratio, the time for the structure to produce large transverse vibration is prolonged. When the damping ratio reaches a certain value, the crowd-bridge system will not be synchronize.

Key words: walking force drive, crowd-bridge system, transverse vibration, footbridge, social force model

LI Panpan, MA Jian, WANG Qiao, CHEN Juan, CHEN Ruowei. Simulation study on coupled lateral vibration of crowd-footbridge system driven by walking force[J]. China Safety Science Journal, 2023, 33(4): 121-129.

Figures/Tables 10

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参数及单位	取值
质量M/kg	113 000
阻尼B/(kg·s^-1)	11 000
刚度K/(kg·s^-2)	4 730 000
长度L/m	81
宽度b/m	4
阻尼比ζ/%	0.75