利用曲线坐标方程计算线路纵断面标高

A Method of Calculating the Profile Elevation of Railroad by Using Curvilinear Coordinate Equation

针对传统的铁路线路纵断面标高计算需要在竖曲线范围进行近似调整的方法,理论上存在缺陷且精度不高、计算过程繁琐等问题,提出利用曲线坐标方程计算线路纵断面标高的新方法。新方法通过建立独立坐标系,以每两个坡段构成一个竖曲线单元,每个竖曲线建立一个曲线坐标方程式,以相对里程为自变量,计算竖曲线上任意测点的横坐标、纵坐标值,横坐标为线路纵断面里程,纵坐标为标高。通过实例验证,新方法的计算原理和精度均优于传统的近似计算方法。

Aiming at the problems of the traditional approximate calculation method of railway profile elevation,such as low accuracy and complicated calculation process,a method of calculating the profile elevation of rail⁃way lines by curve-coordinate equation is proposed.By establishing an independent coordinate system,a vertical curve unit is formed with each slope section,and a curve coordinate equation is established for each vertical curve.The horizontal and vertical coordinates of any measuring point on the vertical curve are calculated with the relative mileage as the independent variable.The calculation principle and accura⁃cy of this method are better than the traditional approximate method by an engineering example.