混合交通流理论模型构建与应用研究论文
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混合交通流理论模型构建与应用研究摘要在桥梁设计的研究领域中,主要以结构体系、受力性能的研究为主,对车辆荷载及其效应的研究相对较少。
由于通过桥梁的车辆种类组成、行驶特征、荷载特性等方面都具有很强的随机性,导致运营车辆产生的荷载效应模拟非常复杂。
交通流理论在描述车辆特性、行驶特征等方面较为成熟,本文引入交通流理论,力图更好地模拟分析运营车辆产生的桥梁荷载效应。
首先,在对混合交通参数分析的基础上,考虑超车换道流率,引入由沿程阻力和局部阻力两部分组成的粘性阻力项,建立了车型比例与粘性系数的函数关系;基于流体动力学车流模型以及车辆跟驰模型,提出了一种流体动力学车流模型。
在此基础上,求解了新模型的特征根,分析了平衡方程的超车换道率,进而构造了所建模型的差分格式,对速度和密度进行离散,分析了车流参数随时空的变化过程。
最后,将混合交通流动力学模型与蒙特卡洛法相结合,在实测交通流量、车速、车型比例、轴距以及轴重等参数统计数据的基础上,运用MATLAB程序建立交通流参数的随机数组,计算了随机车流作用下的典型桥梁的运营车辆荷载效应。
关键词:交通流;跟驰模型;超车换道AbstractIn the field of bridge design, researches are mainly on the structural system and the mechanical properties, but relatively small on vehicle load and its effect. Due to the types, driving characteristics and load characteristics of the vehicles through bridge is random, the simulation of the load effect of operating vehicles is very complex. The traffic flow theory is quite mature in the description of the vehicle characteristics and driving characteristics. This paper introduces traffic flow theory to better simulate and analyze the effect of bridge load by operating vehicles.First, based on the analysis of the mixed traffic parameters, established the function of model proportion and viscosity coefficient. Considering the flow rate of overtaking and lane changing, introduced the viscous drag force composed of the resistance along the way and local resistance; a fluid dynamic traffic model is proposed based on fluid dynamic traffic model and vehicle following model. On this basis, this research solved the characteristic roots of the new model, analyzed the overtaking rate of the balance equation, and then constructed the difference scheme of the model. On this paper, the author analyzed the changing of traffic parameters over time and space by discrete the velocity and the density. Finally, combined the mixed traffic flow dynamics model with the Monte Carlo method, then applied the MATLAB program to establish traffic flow parameters random array and calculate the vehicle load effects under random traffic of typical bridges based on the measured traffic flow, speed, vehicle model ratio, wheelbase and axle load and other parameters statistics.Keywords: traffic flow; following model; overtaking目录摘要 (I)ABSTRACT (II)目录 (III)CONTENTS (V)第一章绪论 (1)1.1 研究背景及意义 (1)1.2 国内外交通流理论研究现状 (4)1.2.1 国外研究现状 (4)1.2.2 国内研究现状 (6)1.3 本文研究的内容 (7)第二章连续交通流模型 (8)2.1 连续交通模型 (8)2.1.1 连续性假设和比拟 (8)2.1.2 连续性方程 (9)2.1.3 运动微分方程 (11)2.2 交通流参数关系 (17)2.3 本章小结 (22)第三章混合交通流动力学模型的构建 (23)3.1 交通流特性 (23)3.1.1 人的交通特性 (23)3.1.2 车辆的交通特性 (23)3.1.3 道路的交通特性 (25)3.1.4 混合车流的形成 (25)3.2 车辆折算系数 (28)3.2.1 车辆折算系数的定义 (28)3.2.2 车辆折算系数的一般计算方法 (29)3.3考虑前后车速度的车辆跟驰模型 (30)3.3.1 车辆跟驰模型分析 (30)广州大学硕士学位论文3.3.2 线性模型推导过程中的不足 (32)3.4 粘性阻力与粘性系数 (32)3.4.1 粘性阻力 (32)3.4.2 粘性系数 (35)3.5 平衡函数 (36)3.6 新的动力学方程 (37)3.7 本章小结 (39)第四章混合交通流的参数关系分析 (40)4.1 特征线方程与特征根 (40)4.2 混合交通流参数之间的关系 (42)4.3 离散化模型 (46)4.4 算例 (49)4.5 本章小结 (52)第五章运营车辆荷载效应的模拟分析 (53)5.1 交通流各参数的分布规律 (54)5.2 车辆荷载效应模拟 (54)5.3 算例 (61)5.3.1 流量1000辆/h时的荷载效应 (61)5.3.2 流量1500辆/h时的荷载效应 (62)5.3.3 流量2000辆/h时的荷载效应 (62)5.4 本章小结 (63)第六章结论与展望 (64)6.1 论文总结 (64)6.2 研究工作展望 (64)参考文献 (66)攻读硕士学位期间发表论文及参与科研项目 (71)发表论文 (71)参与科研项目 (71)致谢 (72)ContentsContentsABSTRACT IN CHINESE (I)ABSTRACT IN ENGLISH (II)CONTENTS IN CHINESE ................................................................................................... I II CONTENTS IN ENGLISH ................................................................................................... V I CHAPTER 1 PREFACE (1)1.1 Background and Significance (1)1.2 Domestic and international traffic flow theory Research (4)1.2.1 Research abroad (4)1.2.2 Domestic research (6)1.3 This paper studies the content (7)CHAPTER 2 THE CONSECUTIVE TRAFFIC FLOW MODEL (8)2.1 Continuous traffic model (8)2.1.1 Continuity assumptions and unmatched (8)2.1.2 Continuity equation (9)2.1.3 Differential equations of motion (11)2.2 Traffic flow parameters relations (17)2.3 Chapter Summary (22)CHAPTER 3 MIXED TRAFFIC FLOW CHARACTERISTICS (23)3.1 Traffic flow characteristics (23)3.1.1 Traffic characteristics (23)3.1.2 Traffic characteristics of the vehicle (23)3.1.3 Road traffic characteristics (25)3.1.4 The formation of mixed traffic flow (25)3.2 Vehicle conversion coefficient (28)3.2.1 The definition of vehicle conversion coefficient (28)The dissertation of 2010 Grade Master of Guangzhou University3.2.2 General method of calculation of the conversion coefficient of the vehicle (29)3.3 Consider before and after the car speed car-following model (30)3.3.1 Car-following model analysis (30)3.3.2 Deficiencies in the derived process of linear model (32)3.4 Viscous resistance and viscosity coefficient (32)3.4.1 Viscous resistance (32)3.4.2 Viscosity coefficient (34)3.5 Balanced Functions (35)3.6 New kinetic equation (37)3.7 Chapter Summary (39)CHAPTER 4 RELATIONSHIP ANALYSIS OF MIXED TRAFFIC FLOW PARAMETERS (40)4.1 Characteristic equation characteristic roots (40)4.2 Relationships of mixed traffic parameters (42)4.3 Discrete Models (46)4.4 Examples (49)4.5 Chapter Summary (52)CHAPTER 5 OPERATION SIMULATION ANALYSIS OF VEHICLE LOAD EFFECT (53)5.1 Traffic flow distribution of parameters (54)5.2 Vehicle load effect simulation (54)5.3 Examples (61)5.3.1 Load effect at the flow rate of 1000 veh/ h (61)5.3.2 Load effect at the flow rate of 1500 veh/ h (62)5.3.3 Load effect at the flow rate of 2000 veh/ h (63)5.3 Chapter Summary (65)CHAPTER 6 CONCLUSION AND OUTLOOK (66)Contents6.1 Paper summarizes (66)6.2 Research outlook (66)REFERENCES (68)PUBLISHED PAPERS AND ENGAGED RESEARCH PROJECTS (71)Published papers (71)Engaged research projects (71)ACKNOWLEGEMENT (72)第一章绪论第一章绪论1.1 研究背景及意义交通运输的发展程度是衡量一个国家综合实力的重要标志之一。