既有铁路曲线整正平差算法

Adjustment Algorithm for Realignment of the Existing Railway Curve

在研究铁路线形特点和曲线整正原则的基础上,探讨以既有铁路线实测坐标为观测值,运用最小二乘平差方法进行曲线整正计算的方法。首先讨论铁路曲线平差的数学模型,然后给出曲线整正平差算法中拨距量计算的有关算式并对两则算例进行分析。结果表明这种平差算法不仅能够满足曲线整正计算的各项原则和技术要求,而且计算方便,精度高于传统方法。

The railway curve adjusting model and algorithm based on the least squares adjuestment are presented. The mathematical model for railway curve adjustment is derived, and the corresponding formulas for curve realignment are given. The application of the model and algorithm is illustrated through two numerical experiments. The results show that the new algorithm proposed in this paper meets the requirement of curve realignment and the accuracy obtained is higher than that of traditional algorithm.