摘要
既有铁路曲线整正是铁路养护维修的基础工作,计算拨距的传统算法要进行坐标转换,由于公式中存在分母位置余弦值的近似计算,使得计算缓和曲线段拨距时产生误差。为了克服误差,研究在整体坐标系下,求解通过既有坐标的径向线的直线方程,计算径向线与拨后曲线的交点,即为拨后坐标点,通过计算既有坐标点与拨后坐标点的距离来计算拨距。推导出前直线、第1缓和曲线、圆曲线、第2缓和曲线、后直线,不同性质的线形的拨后点坐标公式,并将其与传统的坐标法计算结果进行比较和分析,得到以下研究结论:(1)传统坐标法计算结果存在误差,并且误差随着缓和曲线偏角的增大而增大;(2)运用整体坐标系下既有坐标计算拨距的新方法,避免了传统方法在整正过程中产生的拨距误差和拨后正矢误差;(3)新方法使得直线和曲线在同一坐标系下计算,不需要进行坐标转换。
The realignment for existing railway curve is a fundamental task in railway maintenance.The traditional algorithm for calculating move distance requires coordinate transformation.Due to the approximate calculation of the cosine value of the denominator position in the formula,errors occur when calculating the move distance of transition curve section.In order to overcome errors,the study solves the linear equation of the radial line passing through the existing coordinates in the global coordinate system,and calculates the intersection point between the radial line and the post-correction curve,which is the post-correction coordinate point.Then the move distance can be obtained by calculating the distance between the existing coordinate point and the post-correction coordinate point.The coordinate formulas of the post-correction points for the preceding straight line,the 1st transition curve,the circular curve,the 2nd transition curve,and the succeeding straight line with different types of linear characteristics are derived.These formulas are compared and analyzed with the calculation results of the traditional coordinate method,and the following conclusions are obtained:(1)There are errors in the calculation results of the traditional coordinate method,and the error increases with the increase of the deflection angle of the transition curve;(2)A new method for calculating the move distance by using existing coordinates in the global coordinate system avoids move distance errors and post-correction versine errors generated by the traditional method during the realignment process;(3)The new method allows straight lines and curves to be calculated in the same coordinate system without the need for coordinate transformation.
作者
刘永孝
邢少伟
韩峰
LIU Yongxiao;XING Shaowei;HAN Feng(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou Gansu 730070,China;Liaoning Province Expressway Operation and Management Co.,Ltd.Fuxin Branch,Fuxin Liaoning 123000,China)
出处
《中国铁路》
北大核心
2025年第8期147-153,160,共8页
China Railway
基金
中国国家铁路集团有限公司科技研究开发计划项目(N2023X050)
中央引导地方科技发展资金项目(24ZYQA044)。
关键词
既有铁路曲线
整体坐标系
拨距计算
正矢计算
误差分析
existing railway curve
global coordinate system
move distance calculation
versine calculation
error analysis
