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根据高速公路线形的空间几何特性,采用高等数学几何中曲线空间曲率的计算方法,结合高等级公路平纵组合设计方法,对公路线形进行空间曲率计算,并结合运行车速方面的特征进行修正;根据修正后的空间曲率指标,以及高速公路中不同车辆运行特征、运行分布与安全的相关性分析,结合客车占有率提出了多个针对高速公路断面运行状态的空间曲率指标模型;通过数学回归,进行评价模型与道路事故率统计的相关性分析研究。结果表明:部分空间曲率指标与事故率具有较好的相关性;建立的以高速公路空间曲率为主要指标的道路安全评价模型能够为道路线形设计提供理论支持。
According to the space geometry characteristic of expressway, the curvature of the curve space in higher mathematics geometry is calculated and combined with the horizontal and vertical combination design method of high-grade highway, the curvature of the road is calculated and combined with the characteristics of running speed. The revised space curvature index, and the correlation analysis of operation characteristics and operation distribution and safety of different vehicles in expressway, aiming at the occupancy rate of passenger cars, a number of spatial curvature index models are proposed for the operation status of expressway section. Through mathematical regression, Correlation Analysis of Evaluation Model and Road Accident Statistics. The results show that some of the spatial curvature indices have a good correlation with the accident rate. The established model of road safety assessment based on the curvature of expressway can provide theoretical support for the linear design of the road.