轮轨型面实测数据的分段曲线拟合法

Piecewise Curve Fitting Method on Measured Profile

提出了一种实测轮轨截面曲线的拟合方法。该法为三阶导数连续的分段曲线拟合法，因此，不但可以得到光滑的拟合曲线还可以得到拟合曲线的一阶和二阶导数的光滑曲线，这样，提高了轮轨接触的几何分析及运动和动力学分析的精确性。所用的数值过程特别适用于ＭＡＴＬＡＢ语言的编程。

A new piecewise curve fitting method of the third derivative continuous to fit a table data using MATLAB language is presented.With interplolation,it is easy to find not only the location of each profile point but also its first and second derivatives.The algorithm is given for the MATLAB language.An application on measured profiles of a rail is presented.