一种高速铁路轨道测点线路里程计算新方法  

A new Method for Calculating the Mileage of Measuring Points on High-speed Railway Tracks

作　　者：李麒麟 刘成龙 谷思文 杨雪峰 LI Qilin;LIU Chenglong;GU Siwen;YANG Xuefeng(Faculty of Geosciences and Environmental Engineering,Southwest Jiaotong University,Chengdu 611756,China;China Railway Fifth Survey and Design Institute Group Co.,Ltd.,Beijing 102600,China)

机构地区：[1]西南交通大学地球科学与环境工程学院,成都611756 [2]中铁第五勘察设计院集团有限公司,北京102600

出　　处：《铁道标准设计》2025年第2期45-50,共6页Railway Standard Design

基　　金：国家自然科学基金项目(41974013);南昌铁路局科技研究开发计划课题(202160)。

摘　　要：由于高速铁路轨道上各个测点的各项几何状态参数偏差计算均与该点的设计里程有关,因此要评价轨道的平顺性,必须要先计算出轨道上各个测点的里程,因此轨道上各个测点对应的里程计算是轨道测量及其平顺性评价的核心算法。计算实测点里程时采用在直线段或圆曲线段通过实测轨道点与直线或圆曲线线形间的几何关系求解,在缓和曲线段采用“分割逼近”法求解,简称为“几何法”。通过对某线路任意16个测点的计算,得到线路上任意轨道点计算里程与设计里程的最大较差仅为0.1 mm,具有较高的准确性。该方法利用实测轨道点与其附近曲线控制桩点之间的距离、方位角等几何关系判断目标点在线路上的线形,避免人为判断与迭代求解的多值性问题,同时采用分割逼近法求解缓和曲线段上实测轨道点里程,避免“极值法”与“斜率法”的二次求导计算,仅需少量迭代便可求出最优解,几何关系清晰便于理解,也有利于编制程序实现,能够自动计算任意实测轨道点的里程,给高速铁路轨道测量工作带来较大便利。The deviation calculation of the geometric state parameters of each measuring point on the high-speed railway track is related to the design mileage of the point.In order to evaluate the smoothness of the track,it is necessary to calculate the mileage of each measuring point on the track first.Therefore,the mileage calculation corresponding to each measuring point on the track is the core algorithm of track measurement and its smoothness evaluation.When calculating the mileage of the measured points,the geometric relationship between the measured track points and the straight line or circular curve line is used in the straight line or circular curve section,and the‘segmentation approximation’method is used in the transition curve section.Through the verification and calculation of any 16 measuring points on a certain line,the calculated mileage of any track point on the line is compared with its design mileage,and the maximum difference is only 0.1 mm,which is close to complete consistency and has high accuracy.In this method,the geometric relationships such as the distance between the measured track point and the nearby curve control pile point,the azimuth angle and the angle with the line direction are used to judge the line shape of the target point on the line,which avoids the multi-value problem of artificial judgment and iterative solution.At the same time,the segmentation approximation method is used to solve the measured track point mileage on the transition curve segment,which avoids the second derivative calculation of the‘extreme value method’and‘slope method’.The optimal solution can be obtained by only a small number of iterations.The geometric relationship is clear and easy to understand,and it is also conducive to the programming implementation,which can achieve the automatic calculation of any measured track point mileage.The above mentioned method brings great convenience to the track measurement of high-speed railway.

关 键 词：高速铁路 轨道测点 线路里程 几何关系 分割逼近 

分 类 号：U238[交通运输工程—道路与铁道工程] U216.3