线形计算的通用模型及其在铁道工程中的应用

General Model of Route Shape Calculation and Its Applications in Railway Engineering

导出了适用于任意线形的中桩平面坐标计算和直线与曲线相交计算的方法，并把它统称为线形计算的通用模型。应用这一模型可使铁道工程中拨正量计算、复线间距计算、曲线隧道进洞关系计算、曲线桥梁偏角计算、曲线测设计算等几项繁杂的计算变得非常简便、通用而且精确。这对于有关这些计算的计算机化。

This paper presents a general model of calculation for the railway route shape,which can calculate the coordinations of any central line peg and the intersection point of the straight line with the route median line.The calculating result is accurate and the calculating procedure is very simple.It can be used to calculate,for example,the correctness of laying out route,interval between multi curve,entry relation of curve tunnel,deviation angle of curve bridge,data for setting out curve,and so on.It is also helpful for these calculations to be computerized.