中国安全科学学报 ›› 2018, Vol. 28 ›› Issue (8): 168-173.doi: 10.16265/j.cnki.issn1003-3033.2018.08.028

• 公共安全 • 上一篇    下一篇

考虑被疏散者汇流的楼梯疏散模型

郑霞忠1,2 教授, 田丹**1, 谢雪凌1, 陈述1,2 副教授, 张明1   

  1. 1 三峡大学 水利与环境学院,湖北 宜昌 443002;
    2 三峡大学 安全生产标准化评审中心,湖北 宜昌443002
  • 收稿日期:2018-05-23 修回日期:2018-07-05 出版日期:2018-08-28 发布日期:2020-11-25
  • 通讯作者: **田丹(1992—),男,湖北恩施人,硕士研究生,研究方向为安全科学与工程。E-mail:2423450107@qq.com。
  • 作者简介:郑霞忠(1963—),男,湖北鄂州人,博士,教授,主要从事安全科学与工程方面的研究。E-mail:zhengxz@126.com。
  • 基金资助:
    国家自然科学基金资助(51609128);三峡大学论文培优基金资助(2018SSPY004)。

Study on stairs evacuation model considering evacuees' flow merging

ZHENG Xiazhong1,2, TIAN Dan1, XIE Xueling1, CHEN Shu1,2, ZHANG Ming1   

  1. 1 College of Hydraulic & Environmental Engineering,China Three Gorges University,Yichang Hubei 443002,China;
    2 Center of Standardization Evaluation for Production Safety,China Three Gorges University,Yichang Hubei 443002,China
  • Received:2018-05-23 Revised:2018-07-05 Online:2018-08-28 Published:2020-11-25

摘要: 为探究楼梯汇流过程中被疏散者流的运动规律,提高楼梯疏散时间计算的准确性,首先,以社会力模型为基础,分析汇流过程中人员受力情况,运用动量方程与能量守恒方程,推导计算出汇流过程中被疏散者的动量变化率与动能变化率,进而构建楼梯疏散汇流模型,用以描述楼梯疏散过程;然后,以实际楼梯疏散环境为背景,模拟被疏散者流汇流过程,计算楼梯汇流时间,归纳汇流过程被疏散者流运动状态变化规律。结果表明:随着汇流时间的增加,楼层人流量逐渐增长,并达到稳定状态;被疏散者运动速率先增后减,最终趋于稳定。对比实际疏散时间与模拟疏散时间,各楼层最大疏散时间差异值为4.4 s,证明楼梯疏散模型有高的有效性。

关键词: 楼梯疏散, 汇流过程, 疏散时间, 社会力, 动量方程, 能量守恒方程

Abstract: In order to explore the movement rule of evacuees during stairs merging process,and to improve the accuracy of calculation of stairs evacuation time,firstly,based on the social force model,the force conditions of evacuees were analyzed,the momentum equation and energy conservation equation were adopted to compute the change rates of momentum and kinetic energy.A stairs merging flows model was constructed to describe the process of stairs evacuation.Then,a certain stairs evacuation environment was taken as the background,the stairs merging flows time of evacuees was computed by simulating the merging flows process,and the change rule of movement state of evacuees were concluded.The results show that the number of evacuees increases gradually with the increase of time,the stable state is reached at last,and the evacuees movement rate increases first and then decreases,eventually,the evacuees movement rate reach a steady state,that the biggest difference value of evacuation time between floors can be computed by comparing actual evacuation time and the simulated evacuation time,it is 4.4 s,the effectiveness of stairs evacuation model is verified.

Key words: stairs evacuation, merging flows process, evacuation time, social force model, momentum equation, energy conservation equation

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