采用三弯矩样条插值法构造曲线型超高顺坡缓和曲线

The Curved Superelevation Run-in Easement Curve Constructionby Three Moment Spline Interpolation Method

介绍了采用三弯矩样条插值来构造曲线型超高顺坡缓和曲线的方法，并结合实例对构造的具体步骤和有关公式加以说明。此法可结合提速改建或新建高速铁路的实际情况，先设定有关参数，再逆向计算求得缓和曲线方程，改变了以往先设定缓和曲线方程式的传统方法。由于三弯矩样条插值法具有不等距划分也可以使用的特点，所以采用该方法构造非中心对称缓和曲线尤显灵活、简便和实用。

This paper discusses the method of constructing the Curved Superelevation Run-in Easement Curve (CSREC) by Three Moment Spline Interpolation Method (TMSIM), and illustrates the detail construction procedures and concerned formulae with some examples. The characteristic of the method is that it may combine the actual situation of existing line reconstruction or new high-speed railway, set the parameters concerned first, then get the easement curve equation by converse calculation, and change the conventional practice of setting the easement curve equation first. Since TMSIM possesses the characteristic, it may be also used even if the division is not equidistant, and especially the method is quicker, simpler and more practical to construct the non-center symmetrical easement curve.