基于Bezier函数的列车特性曲线数据处理方法研究

在列车运行计算领域, 对列车特性曲线数据处理方法的研究一直得不到应有的重视，因此利用插值法求解列车特性数据的方法沿用至今. 本文研究了插值法计算列车特性数据的误差及其影响. 对比分析了Bezier曲线与列车特性曲线特点，得出可用Bezier曲线拟合列车特性曲线，并提出一种基于Bezier函数的列车特性曲线数据求解方法. 该方法是通过人机交互方式，运用Bezier曲线拟合列车特性曲线，该Bezier曲线对应的Bezier函数为列车特性曲线的拟合函数. 用该拟合函数求解列车特性数据，计算速度与精度均明显提高. 最后对CRH3型动车组的牵引特性曲线作了实际拟合，得出的结果令人满意.

The Method of Data Processing for Train Characteristic Curve Based on Bezier Function

In the filed of train movement calculation, the interpolation method is commonly used to calculate the data of train characteristic curve with rear new approaches proposed. By comparing the Bezier curve and the train characteristic curve, it can be found that Bezier curve can well describe the train characteristic. The paper presents a calculating method based on human-computer interaction. The function of Bezier curve is the fitting function of the train characteristic curve. The calculating speed and accuracy are significantly improved with the proposed method. The curves of train-set CRH3 are fitted, and a satisfactory result is obtained in the case study.