高速铁路轨道检测的横向偏差算法研究

摘要

评价轨道静态几何状态的指标是轨道的绝对位置和相对平顺性，关键是确定轨道检测点的横向偏差。本文针对高速铁路轨道检测点密、量大、精度要求高的特点，提出采用纵向偏差算法（LDACS ）、距离函数算法（DFA）和法切线垂直算法（NPTA）计算线路横向偏差和里程的方法，完善DFA和NPTA并验证它们计算圆曲线段的结果等价；讨论DFA、NPTA以及不同积分区间等分数 M值的LDACS算法的计算精度和效率。标准轨道检验场的仿真数据检验结果表明：DFA、NPTA和LDACS（M≥5）算法的计算结果均能满足高速铁路轨道精密检测的精度要求；三种算法的计算效率均较高，DFA和NPTA效率基本一致，略高于LDACS算法；线路缓和曲线越长，DFA和NPTA算法效率和计算精度越低；线路半径越大，LDACS算法计算精度越高。%T he absolute position and relative regularity of rails are the evaluating indicators of quality of track static geometrical state , and the key is to determine the lateral deviation of track detection points . In view of the characteristics of the dense and massive track detection points and high accuracy requirement of high‐speed railway ,this paper proposed distance function model algorithm(DFA) ,vertical perpendicular to tangent model algorithm(NPTA)andlongitudinaldeviationmodelalgorithmwithcompositeSimpsonrule(LDACS)forcalcu‐lating the mileage and lateral deviation of detection points ,and the equivalent calculations of DFA and NPTA in the curve were verified . The discussion about the accuracy and efficiency of those algorithms was given . The simulation results showed that :(1)The calculations of DFA ,NPTA and LDACS(M≥5) algorithms met the accuracy of the precise track detection of high‐speed railway . (2)With all the three algorithms showing considerable computation efficiency , the efficiency of DFA was basically the same with NPTA and slightly higher than LDACS . (3)The longer the easement curve was , the lower the efficiency and accuracy of DFA and NPTA were . The bigger the radius was , the higher the accuracy of LDACS was .