竖曲线最值点位置及曲线任意点高程准确计算

Accurate calculation for the location of vertical curve extreme point and the height of any points on the range of vertical curve

在理论推导基础上,将凹形竖曲线和凸形竖曲线划分为四类,得出了两种竖曲线的最值点位置高程精确计算方法和竖曲线上任意点的准确高程计算公式,结果表明理论导出的竖曲线高程计算方法提高了计算精度,涵盖了所有圆形竖曲线类别,适用于铁路工程、公路工程及地铁工程领域的设计和施工,可为竖曲线计算提供参考借鉴。

On the basis of theoretical derivation,sag vertical curve and convex vertical curve are both divided into four categories,the accurate calculation for extreme point’s location and height of the two vertical curves was drew,in the meantime,the accurate formula of vertical curve any point was proposed. The results show that,computing method of vertical curve height improves the precision of calculation,covers all the categories of round vertical curves,and can apply to the design and construction for railway,highway and subway,meanwhile,can provide a reference for the calculation of vertical curve.