基于动力学理论的交通流微分方程  

Traffic flow differentiating equation based on kinetic theory

作　　者：刘勇[1,2] 严宝杰[2] 

机构地区：[1]长安大学理学院,陕西西安710064 [2]长安大学公路学院,陕西西安710064

出　　处：《长安大学学报（自然科学版）》2008年第6期69-72,共4页Journal of Chang’an University(Natural Science Edition)

基　　金：国家973计划项目(2006CB705505)

摘　　要：针对传统交通流微分方程在理论和实际应用中存在的问题,对交通压力进行了深入分析,指出交通压力是交通流与道路相互作用及交通流内部车辆间相互作用的共同结果;通过引入相对交通压力和相对动量概念,并根据动量定理思想,导出了基于动力学理论的交通流方程,获得了粘滞阻力项;考虑具体交通状况和条件,进而导出了格林希尔茨(Greenshields)方程和车辆跟驰模型。结果表明,基于动力学理论建立的交通流方程,基本概念物理意义明确,理论上具有较强的统一性和一致性。Aimed at the problem of traditional traffic flow differentiating equation in the theory and in the practical use,the traffic pressure is analyzed synthetically,and it is pointed out that the traffic pressure results from matual effect between traffic flow and road. According to the idea of momentum law, the traffic flow differentiating equation based on kinetic theory is derived through the introduction of relative traffic pressure and relative momentum,and the factor of the viscosity resistance is obtained. Under the practical conditions of road and traffic flow, the Greenshields equation and car following model are derived by means of the traffic flow differentiaLing equation. The results show that the traffic flow differentiating equation is united in the theory, clear in the concept. 2 figs, 9 refs.

关 键 词：交通工程 交通流 交通压力 车辆跟驰模型 

分 类 号：U491[交通运输工程—交通运输规划与管理]