多车超车跟车假想尾巴模型

进一步分析了各种传统方法在模拟超车跟车过程时存在的不足之处。以固支梁挠度曲线方程为基础，明确地提出了假想尾巴的新概念，它假定每一车辆有一假想的尾巴。各车的运动约束条件被表现为前方车辆尾巴和道路对其的联合作用，由此得到了一种用于模拟多车辆间超车和跟车过程的通用分析模型。在该模型中，为节约计算机时，车辆在道路的横向位置可暂不考虑而只对纵向位置独立计算。给出了具体算法和计算实例。该算法既能适用于两个或三个车辆的情形，也能适用于任意车辆及任意车辆初始位置的情形。该模型也被发现可用于事故模拟。

Imaginary Tail Model for Analytical Simulation of Car-following and Overtaking Processes between Multiple Vehicles

The shortcomings of the traditional car- following and overtaking simulation models were analyzed. Based on the deflection curve of a built - in beam, the concept of imaginary tails was presented clearly. It supposed that each car had an imaginary tail. The restrain conditions of each car were thought as the combined action of the imaginary tails of leading cars and the road. In this way a general analytical model for the simulation of car - following and overtaking process between multiple cars was worked out. To save the computer time, it calculated the longitudinal positions of the cars independently. In other words, the lateral positions of the cars on the road could be omitted. The detailed algorithm and a calculation example were presented. It fitted for the case of two or three cars as well as the case in which there were a large number of cars on the road. Also, the initial positions of the cars could be arbitrary assigned in the algorithm. It was found that the imaginary tail algorithm could simulate accidents.