In order to characterize the disturbance fluctuation of pedestrian flow caused by the disturbance during evacuation and the state change of pedestrian flow, this paper improves the social force model by introducing disturbance fluctuation force. First, a momentum equation is established to describe the change of pedestrian flow under the influence of disturbance fluctuation, and the mathematical expression of disturbance fluctuation force is given. Second, the evacuation processes of pedestrian flow with and without “queue jumpers” are simulated with the simulation experimental platform, and the key factors influencing the performance of the model are deeply studied through numerical analysis. The results showed that: when the expected velocity is the same, the bigger the angle between the cross-section position vector and the initial expected velocity is, the more serious the congestion occurs at the exit. In addition, when the crowd density is small, the larger the angle, the higher the evacuation efficiency and vice versa.

中文翻译：

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扰动波动力下行人疏散的扩展社会力模型

为了表征疏散过程中的扰动和行人流状态变化引起的行人流扰动波动，本文通过引入扰动波动力对社会力模型进行改进。首先，建立动量方程来描述扰动波动影响下行人流量的变化，并给出扰动波动力的数学表达式。其次，利用仿真实验平台模拟了有无“跳队”的人流疏散过程，并通过数值分析深入研究了影响模型性能的关键因素。结果表明：当期望速度相同时，横截面位置矢量与初始期望速度的夹角越大，出口拥堵越严重。此外，当人群密度较小时，角度越大，疏散效率越高，反之亦然。