基于最优速度的弯道跟驰模型及其稳定性分析  

Curve Car Following Model Based on Optimal Velocity and Its Stability Analysis

作　　者：陈秀锋 高艳艳 石英杰 曲大义 宋著贺 CHEN Xiufeng;GAO Yanyan;SHI Yingjie;QU Dayi;SONG Zhuhe(School of Mechanical and Automotive Engineering,Qingdao University of Technology,Qingdao 266520,Shandong,China)

机构地区：[1]青岛理工大学机械与汽车工程学院

出　　处：《重庆交通大学学报（自然科学版）》2020年第1期126-130,共5页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：国家自然科学基金(51178231);山东省重点研发计划(2016ZDJ03B01);山东省自然科学基金(ZR012EEL28,ZR2019MG012)

摘　　要：为研究车辆在道路弯道上的跟驰特性及稳定条件,在经典OV模型的基础上,综合考虑路面摩擦、弯道半径和超高等因素的影响,结合弯道力学特性建立弯道OV模型。基于弯道路段车辆跟驰扰动原理,采用傅里叶级数收敛对模型线性稳定性进行分析,得到了弯道跟驰模型的扰动稳定性条件。依据敏感性系数影响因素,绘制了不同弯道弧度的弯道交通流稳定区域曲线图。为验证弯道跟驰模型的有效性,对模型进行计算机模拟和路测实验验证,结果表明:在相同初始密度条件下,弯道车流的稳定性随着弯道弧度的增大而逐渐降低。In order to study the following characteristics and stability conditions of vehicles on road curves,on the basis of the classical OV model,the OV model of curve was established by considering the influence of road friction,curve radius and super high factors and combining the mechanical characteristics of curve. Based on the following perturbation principle of the vehicle in the curve section,the linear stability of the model was analyzed by using the convergence of Fourier series,and the disturbance stability conditions of the curve following model were obtained. Then,according to the influence factors of sensitivity coefficient,the curve of traffic flow stability region in different curve radians was drawn. In order to verify the validity of the curve following model,computer simulation and road test experiments were carried out to verify the proposed model. The results show that under the same initial density,the stability of the traffic flow in the curve decreases with the increase of curve radian.

关 键 词：交通工程 最优速度 跟驰模型 弯道 稳定性分析 数值模拟 

分 类 号：U491[交通运输工程—交通运输规划与管理]