基于5次多项式换道模型的高速公路中央分隔带开口长度数值研究  

Numerical Investigation on Opening Length of Medial Strip Diverging of Expressway Based on Lane-changing Model of Polynomical with 5 Degree

作　　者：桂珂捷 GUI Ke-jie(School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510641,China)

机构地区：[1]华南理工大学土木与交通学院,广州510641

出　　处：《科学技术与工程》2018年第7期50-54,共5页Science Technology and Engineering

基　　金：国家自然科学基金项目(51078151)资助

摘　　要：高速公路中央分隔带开口长度影响车辆在开口处的行车安全和通行效率。基于5次多项式换道模型,对车辆通过中央分隔带开口的行驶轨迹进行研究。通过确定边界条件,得到车辆通过中央分隔带的轨迹函数,得到不同限速值和中间带宽度值下的开口长度建议值。根据车辆动力学推导出车辆以限速值通过中央分隔带开口所需最小转弯半径;根据车辆轨迹函数,推导车辆换道轨迹的最小曲率半径;最后将最小转弯半径与最小曲率半径作对比,证明给定的中央分隔带开口段长度建议值能够保证车辆行驶稳定性,确保车辆通过高速公路中央分隔带开口时的行车安全。Opening length of medial strip of expressway will influence the safety and traffic efficiency of vehicle.The traveling track of vehicle was studied when passing the opening of medial strip based on lane-changing model of polynomial with 5 degree.Through determining the boundary conditions,the trajectory function of vehicle was obtained at the opening of medial strip and provided advised values of opening length of medial strip under different speed limit values and medial strip width.According to vehicle dynamics and trajectory function,the minimal turning radius of vehicle and the minimal curvature radius of trajectory function were worked out.After comparing the two indexes,the advised opening length of medial strip is proved to be able to keep the stability and safety of vehicle when moving through the opening of medial strip of expressway.

关 键 词：高速公路 换道模型 中央分隔带 开口长度 曲率半径 

分 类 号：U412.366[交通运输工程—道路与铁道工程]