步行力驱动的人群-桥梁系统耦合横向振动模拟研究

doi:10.16265/j.cnki.issn1003-3033.2023.04.1014

中国安全科学学报 ›› 2023, Vol. 33 ›› Issue (4): 121-129.doi: 10.16265/j.cnki.issn1003-3033.2023.04.1014

步行力驱动的人群-桥梁系统耦合横向振动模拟研究

李盼盼¹^,²(), 马剑¹^,³^,^**(), 王巧¹, 陈娟⁴, 陈若薇¹

¹ 西南交通大学交通运输与物流学院,四川成都 610031
² 武汉长江绿创开发建设有限公司,湖北武汉 430014
³ 清华大学合肥公共安全研究院灾害环境人员安全安徽省重点实验室,安徽合肥 230601
⁴ 西南交通大学地球科学与环境工程学院,四川成都 610031

收稿日期:2022-11-10 修回日期:2023-02-05 出版日期:2023-04-28
通讯作者:
^** 马剑(1983—),男,江苏徐州人,博士,教授,主要从事行人交通组织与管理、紧急条件下的人员疏散等方面的研究。E-mail: majian@swjtu.edu.cn。
作者简介:
李盼盼 (1996—),女,河南商丘人,硕士研究生,研究方向为行人疏散、交通安全等。E-mail:1103879880@qq.com。
王巧讲师
陈娟讲师
基金资助:
国家自然科学基金资助(71871189); 国家自然科学基金资助(72104205); 四川省科技厅重点研发项目(2020YFS0291); 灾害环境人员安全安徽省重点实验室开放课题(DEPS-2021-05)

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

LI Panpan¹^,²(), MA Jian¹^,³^,^**(), WANG Qiao¹, CHEN Juan⁴, CHEN Ruowei¹

¹ School of Transportation and Logistics, Southwest Jiaotong University, Chengdu Sichuan 610031, China
² Wuhan Changjing Green Innovation Development and Construction Co., Ltd.,Wuhan Hubei 430014, China
³ Anhui Province Key Laboratory of Human Safety, Hefei Institute for Public Safety Research of Tsinghua University, Hefei Anhui 230601, China
⁴ School of Transportation and Logistics, Southwest Jiaotong University, Chengdu Sichuan 610031, China

Received:2022-11-10 Revised:2023-02-05 Published:2023-04-28

摘要/Abstract

摘要：

针对大跨径、细长、轻型化人行桥在运动人群荷载激励下异常振动问题,以简支梁作为桥梁基本模型,以社会力模型作为行人基本模型,描述行人步行速度和动态步行频率特征,建立考虑行人步行力驱动的人群-桥梁耦合振动模型,分析行人和人行桥相关参数对系统耦合横向振动的影响机制。研究结果表明:桥上行人数量超过一定规模后,会出现人群-桥梁系统同步及人行桥大幅度横向振动现象;同步过程可通过行人相位变化率判定,序参量R下限值为0.6时,系统达到同步状态;行人到达率增大,引发共振的临界人数逐渐下降,达到同步的时间趋于增加;行人到达率不变时,行人对人行桥振动的敏感度C值增加使系统达到同步时间降低;人行桥基本参数比例一定时,长度变化会对临界人数产生显著影响;阻尼比增加,结构产生大幅度横向振动的时间延长,达到一定值时,人群-桥梁系统不会发生同步。

关键词: 步行力驱动, 人群-桥梁系统, 横向振动, 人行桥, 社会力模型

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

李盼盼, 马剑, 王巧, 陈娟, 陈若薇. 步行力驱动的人群-桥梁系统耦合横向振动模拟研究[J]. 中国安全科学学报, 2023, 33(4): 121-129.

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.

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参考文献 23

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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

步行力驱动的人群-桥梁系统耦合横向振动模拟研究

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

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