【摘要】 通过对交通流参数的微分分析,建立了匝道连接处交通流的运动微分方程和欧拉方程.采用特征线法对运动微分方程组进行分析求解,在高速低密度区和低速高密度区分别得到了两组特征线和对应的特征关系式.积分后,得到了匝道单车道流量与匝道连接处速度、密度和流量的理论关系模型.结合匝道的特点,给出了出入口匝道连接处交通流参数之间关系的理论模型以及出入口匝道的通行能力计算模型.将连接处参数之间的关系模型整理成汇入率(驶出率)、上游外侧车道流量和密度之间的关系.利用实测数据对关系模型进行标定,与美国道路通行能力手册(HCM 2000)的经验公式和算例进行了比较,两者能够吻合.更多还原

【Abstract】 The traffic momentum differential equation and Euler’s equation for the ramp junction is founded by means of differential calculus in this paper,the traffic momentum differential coupled equation is solved by characteristic curve method,two groups of characteristic curves and corresponding related equation in high speed(low density)states and low speed(high density)states are presented.The relationships between traffic parameters,such as the ramp flow,speed,density and mainline flow at the ramp junction,are established by mapping time-space plane to speed-density plane.Considering ramp characteristics,this paper educed the relationships between traffic parameters and model of capacity calculation for ramp of expressway.The relationships between merging/diverging rate,the Lane 1 flow entering the junction and the junction density are established afterwards.After being calibrated by the field data,the relationships are compared with the example and the empirical formula in Highway Capacity Manual 2000(USA).The results indicate that the relationships coincide with the formula.更多还原