您目前所在的位置:首页 - 期刊简介 - 详细页面

铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第9卷    第5期    总第49期    2012年10月

[PDF全文下载]    [Flash在线阅读]

    

文章编号:1672-7029( 2012) 05-0090-06
铁路既有线复测平面曲线优化方法
陈峰1,辜良瑶2,杨岳1,吴湘华1

(1.中南大学交通运输工程学院,湖南长沙410075;
2.中南林业科技大学机电工程学院,湖南长沙410004
)

摘 要: 利用坐标法进行铁路既有线复测后,根据测量曲线的连续大地坐标点系,通过合理的方式对既有线线路进行优化计算是一项十分重要的工作。在讨论平面曲线特征分界点判别依据的基础上,分析基于圆曲线最小二乘拟合计算模型的原理及其不足; 通过建立夹直线、缓和曲线和圆曲线的调整量计算模型,提出以夹直线的最小二乘拟合为切入点,以曲线调整量最小为优化目标,以圆曲线半径、缓和曲线长为优化参数,建立平面曲线调整量优化模型,利用夹直线的连续性对连续多段平面曲线实现一次性优化计算; 采用定步长迭代方法进行优化模型求解,通过优化计算得到既有线各曲线要素特征值及各测点的调整量。计算实例表明: 优化模型算法简单、有效,适用于各类平面曲线,并在大曲线半径上有效避免了圆曲线最小二乘拟合法存在的病态结果。

 

关键字: 既有线; 曲线复测; 平面曲线优化; 最小二乘拟合

Optimum method for horizontal curve re-surveying of the existing railway
CHEN Feng1,GU Liang-yao2,YANG Yue1,WU Xiang-hua1

1.School of Traffic and Transportation Engineering,Central South University,Changsha 410075,China;
2.College of Mechanical & Electrical Engineering,Central South University of Forestry and Technology,Changsha 410004,China

Abstract:After using coordinate method for existing railway re-survey,according to continuous geodetic coordinate points of measuring curves,it is a very important job to do optimization calculation on existing railway.Based on the discussions of the distinguish basis of the plane curve feature dividing points,principle and insufficient of least square fitting calculation model for circular curve were analyzed.By establishing adjustment quantity calculation models of straight line between curves,transition curve and circular curve,plane curve adjustment quantity optimization model was established with least square fitting of the straight line between curves as the breakthrough point,with minimum curve adjustment quantity as optimization target and with circular curve radius and length of transition curve as optimization parameter,and one-time optimization calculation of continuous multiple plane curves can be done by continuity of straight line between curves.Using fixed step iterative method for optimization model solution,curves element eigenvalues of existing railway and adjustment quantity of the measuring points were obtained by optimization calculation.Calculation results show that optimization model algorithm is simple and effective,and can be applied in the various types of plane curves,and the pathological results of using least square fitting method on long radius circular curve can be effectively avoided.

 

Key words: existing railway; curve re-survey; plane curve optimization; least square fitting

ISSN 1672-7029
CN 43-1423/U

主管:中华人民共和国教育部 主办:中南大学 中国铁道学会 承办:中南大学
湘ICP备09001153号 版权所有:《铁道科学与工程学报》编辑部
------------------------------------------------------------------------------------------
地 址:湖南省长沙市韶山南路22号 邮编:410075
电 话:0731-82655133,82656174   传真:0731-82655133   电子邮箱:jrse@mail.csu.edu.cn