关于铁路车站的安全标线的研究  

Research on Safety Markings of Railway Stations

作　　者：李德伦 田喜亮 殷川俊 张允飞 

机构地区：[1]沈阳航空航天大学理学院,辽宁 沈阳

出　　处：《应用数学进展》2025年第1期33-40,共8页Advances in Applied Mathematics

摘　　要：本文针对铁路车站的安全标线相关的问题,讨论在不同情况下应采取的不同安全标线距离。首先,本文分别在理想情况和非理想情况下建立了关于流体推力的数学模型。根据伯努利方程以及气体流速方程,应用MATALB等软件,对影响因素进行定量分析,构造出推(引)力与人质量、体积、安全距离的关系函数。其次,依据《铁路技术管理规程》,通过曲线拟合的方法验证所得结论的可靠性。最后,本文运用了MATLAB、VISIO等软件作图,对数据进行定性分析,发现列车行驶速度与推(引)力,人的横截面积,空气温度成正相关的关系。This paper focuses on the problems related to safety markings in railway stations, and discusses the different safety marking distances that should be taken in different situations. Firstly, a mathematical model of fluid thrust is established in ideal and non-ideal conditions. According to Bernoulli’s equation and gas velocity equation, MATALB and other software were used to quantitatively analyze the influencing factors, and the relationship function between thrust (gravitational) force and human mass, volume and safety distance was constructed. Secondly, according to the Railway Technical Management Regulations, the reliability of the conclusions obtained is verified by the method of curve fitting. Finally, this paper uses MATLAB, VISIO and other software to make a qualitative analysis of the data, and finds that the train speed is positively correlated with the thrust (gravitational) force, the cross-sectional area of people, and the air temperature.

关 键 词：伯努利原理 流体力学 曲线拟合 MATLAB 

分 类 号：O17[理学—数学]