复合型线路缓和曲线部分的误差研究

Analysis on Partial Error of Transition Curve of Compound Line

本文对缓和曲线在切线坐标系中近似公式的取项进行误差分析。结果表明,在复合型线路和精度要求较高的桥梁施工建设中,缓和曲线弧长和缓和曲线终点半径在比值大于等于1,利用缓和曲线切线坐标系下的公式进行计算时,有时不能按照近似公式进行取项,应当适当增加公式中的高次项,建议取到公式第五项后。

In this paper,the error analysis of approximate formula of transition curve in tangent coordinate system was carried out.The results show that when the ratio of the arc length of the transition curve and the end radius of the transition curve is greater than or equal to 1,when the formula under the tangent coordinate system of the transition curve is used to calculate,sometimes the term cannot be taken according to the approximate formula.It is suggested that the higher-order term in the formula should be added appropriately,and it is suggested to take the fifth term af⁃ter the formula.