一种新的一维无格子超车跟车仿真模型

近年来，人们对超车和跟车进行了广泛的研究。但以往方法尚有其不足之处。主要体现在，不能统一处理超车和跟车模型以及不能较好地体现司机的行为特性，另外不能通过简洁的计算同时给出任意时刻车辆在道路的纵向和横向上的位置。为此，作者在其首创的固支梁挠度曲线超车跟车模型基础上，提出了一种新的一维无格子超车跟车模型。它根据前方车辆的情况及道路宽度的变化情况直接确定当前车辆在道路宽度方向上的位置。新模型能同时适用于道路宽度变化和前方车辆速度变化的情形。

A New One-dimensional Mesh-less Model for Simulatiing the Overtaking Processes and Car-following Processes

Overtaking problems and car-following problems have been widely studied in recent years. Traditional methods still have their shortcomings that overtaking models and car-following models are built up separately and the behavior of the operator could not be revealed goodly. Also the problem of how to calculate the detailed vehicle position on both longitudinal direction and lateral direction couldn't be solved briefly with traditional methods. Based on a fixed-end-beam deflection curve related model proposed by the author, an unified one dimensional mesh-less model is proposed. It calculates the longitudinal position and lateral position of a vehicle according to the road width and the speed of its leading vehicle. The new model is fit for the cases when both the road width and the speed of the leading vehicle are changing about.