随着城市化的进程和高速铁路网络的快速发展,站台乘客的安全受到了广泛关注。本文通过数学建模方法探讨高速列车通过站台时对候车乘客的气流影响,分析安全标线的设置依据,并提出保障铁路站台安全的建议。本文分别从力的计算、安全线的...随着城市化的进程和高速铁路网络的快速发展,站台乘客的安全受到了广泛关注。本文通过数学建模方法探讨高速列车通过站台时对候车乘客的气流影响,分析安全标线的设置依据,并提出保障铁路站台安全的建议。本文分别从力的计算、安全线的设置及影响因素分析三个方面进行了深入研究,提出了基于回归分析的改进的贝努利模型。本文通过对我国幼儿、成年人、老人的各个年龄段的平均体重、体积以及列车的车速三个自变量与乘客所受风力作为因变量进行多元线性回归性分析,得到数据分类处理。再通过改进的贝努利模型计算出在列车任何速度以及人与车的任意距离下人所受的推力或拉力大小。确定了乘客能够安全承受的最大气流力,并引入了安全系数来考虑不同体型和稳定性的乘客。进而本文提出了不同列车速度下安全标线的最佳位置,以确保所有乘客的安全,提出智能安全标线设置。With the process of urbanization and the rapid development of high-speed railway network, the safety of platform passengers has received wide attention. The purpose of this study is to explore the influence of the high-speed train passing through the platform through mathematical modeling method, analyze the basis of setting up the safety line, and put forward suggestions to ensure the safety of the railway platform. This paper studies deeply from three aspects of force calculation, safety line setting and influencing factor analysis and proposes an improved Bernoulli model based on regression analysis. In this paper, the average weight and volume of children, adults and the elderly at all ages in China, as well as the speed of the train, are analyzed with multiple linear regression as dependent variables, and the data are classified and processed. Then, the thrust or pull of people at any speed of the train and any distance between people and cars can be calculated according to the improved Bernoulli model. The maximum airflow force that passengers can safely bear is determined, and a safety factor is introduced to consider passengers with different sizes and stability. Furthermore, this paper puts forward the optimal position of safety marking under different train speeds to ensure the safety of all passengers, and proposes the intelligent safety marking setting.展开更多
文摘随着城市化的进程和高速铁路网络的快速发展,站台乘客的安全受到了广泛关注。本文通过数学建模方法探讨高速列车通过站台时对候车乘客的气流影响,分析安全标线的设置依据,并提出保障铁路站台安全的建议。本文分别从力的计算、安全线的设置及影响因素分析三个方面进行了深入研究,提出了基于回归分析的改进的贝努利模型。本文通过对我国幼儿、成年人、老人的各个年龄段的平均体重、体积以及列车的车速三个自变量与乘客所受风力作为因变量进行多元线性回归性分析,得到数据分类处理。再通过改进的贝努利模型计算出在列车任何速度以及人与车的任意距离下人所受的推力或拉力大小。确定了乘客能够安全承受的最大气流力,并引入了安全系数来考虑不同体型和稳定性的乘客。进而本文提出了不同列车速度下安全标线的最佳位置,以确保所有乘客的安全,提出智能安全标线设置。With the process of urbanization and the rapid development of high-speed railway network, the safety of platform passengers has received wide attention. The purpose of this study is to explore the influence of the high-speed train passing through the platform through mathematical modeling method, analyze the basis of setting up the safety line, and put forward suggestions to ensure the safety of the railway platform. This paper studies deeply from three aspects of force calculation, safety line setting and influencing factor analysis and proposes an improved Bernoulli model based on regression analysis. In this paper, the average weight and volume of children, adults and the elderly at all ages in China, as well as the speed of the train, are analyzed with multiple linear regression as dependent variables, and the data are classified and processed. Then, the thrust or pull of people at any speed of the train and any distance between people and cars can be calculated according to the improved Bernoulli model. The maximum airflow force that passengers can safely bear is determined, and a safety factor is introduced to consider passengers with different sizes and stability. Furthermore, this paper puts forward the optimal position of safety marking under different train speeds to ensure the safety of all passengers, and proposes the intelligent safety marking setting.
