基于曲率变化特征的既有线路整正算法设计

铁路曲线运营过程不可避免会产生几何形位变化,运行速度的提升需要现代化的检测手段,相应的曲线整正算法设计是列车安全、舒适运营的重要保障。采用某线路轨检小车实测5 m间隔数据,以现场实测数据为基础,从曲率和曲率变化率的角度分析不同间隔条件下的轨道几何形位特征,采用基于正交最小二乘和三次样条的平面拟合方法,利用线路的曲率特征进行线路初始参数获取,设计相应的平面曲线线形优化重构算法。编程实现算法在具体线路的应用,以拨道量改正数最小为目标函数,采用5、10 m不同测点间隔的计算结果分析并结合现场实际,取得了较好的计算结果。通过现场实例表明,该方法具有理论简单、计算准确,与现代高速行车检测方法适应好等特点。

Design and Practice of Existing Railway Line Realignment Algorithm Based on Curvature Variation Characteristics

The railway curve operation process will inevitably produce geometric changes. The promotion of running speed should be supplemented by modern detective means, and the relevant optimization algorithm is a vital guarantee for the safety and comfort of train operation. The ongoing thesis analyzes the track geometry based on curvature and curvature variation of the actual data obtained by track car with an interval of 5 m and field measurements, the initial parameters of the track are obtained via the variation characteristics using Planar Fit Method based on Least Square Method & Cubic Spline Method. Then a corresponding plane curve optimization algorithm is designed. The application of the method in specific railway is simulated through programming and the minimum number of corrections is taken as the objective function. With an interval of 5 m and 10 m and combined with the actual situation, good calculation results are achieved. The results of the field cases show that the proposed method is simple in theory, accurate in calculation, and has good adaptability to modern high-speed detection methods.