铁路既有曲线混合约束非线性最优化整正研究  

Study on Nonlinear Optimization Correction of Existing Railway Curves with Mixed Constraints

作　　者：马敬武 谢建明 王伟 谢红太 MA Jingwu;XIE Jianming;WANG Wei;XIE Hongtai(China Design Group Co.,Ltd.,Nanjing 210014,China;Sichuan University,Chengdu 610065,China)

机构地区：[1]华设设计集团股份有限公司,南京210014 [2]四川大学,成都610065

出　　处：《高速铁路技术》2022年第6期30-35,共6页High Speed Railway Technology

摘　　要：本文针对既有铁路曲线整正后无缝线路锁定轨温变化给维修作业带来的不便,将轨道长度不变作为一种约束条件,考虑半径和缓和曲线长度在允许范围内取整要求,并结合各控制点拨道量限制条件,提出基于混合约束最优化模型计算曲线整正的方法。首先由曲率图对铁路线形概略分段,选取圆曲线段测点坐标,然后利用几何重心法计算曲线初始几何要素,最后以拨道量的平方和最小为目标函数,建立混合约束的非线性最优化模型;利用计算机语言Python自主编程计算兰新线某段拨道量值,并与传统拨道量计算值进行比较。研究结果表明:(1)可将轨道几何长度不变作为约束条件,且满足半径和缓和曲线长度取整的要求;(2)测点拨道量平方和和绝对值均比传统拨道量计算值好;(3)该模型能够满足客货共线、重载铁路以及铁路大提速既有曲线整正。In view of the maintenance inconvenience caused by the change of fastening-down rail temperature of CWR track after curve correction of existing railway,this paper proposes a method to calculate curve correction based on the mixed constraint optimization model by taking the unchange of track length as a constraint condition,taking into consideration the requirement for rounding off the radius and transition curve length within the allowable range,and considering the limiting conditions for track lining amount at each control point. First,we roughly segmented the railway alignment according to the curvature diagram,selected the coordinates of the measuring points in the circular curve segment,then calculated the initial geometric elements of the curve by the geometric center-of-gravity method,and finally established a nonlinear optimization model with mixed constraints by taking the minimum sum of squares of the track lining amount as the objective function. Then,we used the computer language Python self-programming to calculate the track lining amount of a section of Lanzhou-Urumqi High-speed Railway and compared it with the calculated traditional track lining amount. The results show that:(1)The unchange of geometric track length can be used as a constraint,and the requirement for rounding off the radius and the transition curve length can be satisfied.(2)The sum of squares and absolute value of track lining amount at the measuring point are better than the calculated traditional track lining amount.(3)This model can meet the requirement of correcting existing curves for mixed passenger and freight railway,heavy-haul railway and railway speed increase.

关 键 词：曲率 曲线整正 混合线性约束 拨道量 

分 类 号：U216.3[交通运输工程—道路与铁道工程]