对最小二乘拟合法计算桥涵设计流量的改进

Improvement of the Least-Squares Fitting Method to Calculate Bridge Design Flow

目前桥涵水文计算主要采用经验统计法,它是以皮尔逊Ⅲ型曲线作为理论频率曲线来进行的适线计算。该法存在反复试算、手工绘制理论曲线和经验频率曲线点等缺点。为了克服这些缺点,提高计算效率,有人提出采用曲线拟合的方法来进行计算。针对常用的以幂函数为基函数的最小二乘曲线拟合方法,用双曲函数作为基函数来改进,进一步提高了计算的精度和效率。

At present the bridge hydrology is mostly calculated in expeziential statistic. This calculating method makes use of Pearson m curve as the theoretical frequency curve to draw appropriate lines. The method needs to compute many times to find the most suitable answer and has to draw theoretical frequency curve and experience frequency points. In order to avoid such shortcomings and improve the computational efficiency, the curve fitting method had been proposed. Hyperbolic functions as the basic functions for the least-squares fitting method are used to displace power functions, which is commonly used as basic functions to further improve the computational accuracy and efficiency.