高速公路交通流问题的分段固支梁计算机仿真模型

用分段固支梁模型描述高速公路上三车辆行驶过程。给定了三车辆的初始位置，整个时间过程被分为不同的时间段，每一时间段内车辆具有一定的排列次序，任意一个车辆或者处于跟车过程中，或者处于超车过程中。基于梁挠度曲线方程给出车辆在超车和跟车过程中的速度．时间关系曲线解析表示式。这些解析表示式中包含一定个数的参量，用于体现司机行为；各有关时间段的起始和终了端点则根据有关车辆运动距离相等的条件及跟车和超车的判别条件确定。由计算机自动给出计算任意时刻各车辆位置的公式。与传统方法相对比，该方法考虑建立尽可能大范围的局部模型(跟车或超车模型)并明确给出不同阶段局部模型的衔接方法，因而能较好地刻画车辆的行驶过程。旨在为开发出类似于Maple的高速公路交通流仿真软件奠定基础。

Simulating Traffic Flow of a Highway with Segment Fixed-end-beam Model

Segment fixed-end-beam (FEB) model was proposed for the simulation of the traffic flow of a highway. Giving the initial positions of the three vehicles, it has found out all of the time stages on each of which the three vehicles took an unchanged order. At any time, a faster vehicle was overtaking or following another slower vehicle. Formulae based on beam deflection curve are used to express the overtaking or following processes. Related parameters in these formulae represent the characteristics of the drivers. The critical time instant parting above different stages are determined according to the related conditions, such as the equations of the positions of two vehicles and the differentiate conditions of the overtaking processes and following processes. In this way the calculation formulae could be gotten by computer automatically. Compared with traditional methods, the method proposed here is devoted to the local model to the extreme extent as well as how to link up them determinedly and could depict the running processes of the vehicles better. It aims at the development of a software similar to Maple for the simulation of traffic flow on a highway.