摘要
采用常规的分段求和法完成矩形断面明渠水面线计算,不但存在误差累积且计算工作量大、效率低。依据优化拟合理论,以标准剩余差最小为目标函数,在工程适用参数范围内,经拟合计算获得了由一个简化通用算式替代原积分中的不可积函数,不但实现了由差分逐断面推算改为直接完成求解,且由于正、负拟合误差的相互抵消,使最终计算成果的精度进一步提高。利用该近似公式完成矩形断面明渠水面线计算,可使求解过程大大简化,工作效率明显提高,具有实用推广意义。
The conventional Subsection summation method completed the calculation of rectangular open channel surface line, not only the existence of cumulative error and the workload of the calculation is heavy and low efficiency. Basis the optimum matching theory, as the minimum standard suplus difference as the objective function, a simplified generic formula substitute for the original integral non-integrable functions obtained by the fitting calculation within the engineering applicable parameters, Not only realized by the differential by-sectional projections instead of directly to complete, and because the positive and negative fitting error cancel each other, so that the accuracy of the calculated final outcome further improved. The solving process greatly simplifies by the approximate formula to calculate the rectangular open channel water surface ,the work efficiency has improved significantly and has the practical promotion of significance.
出处
《水科学与工程技术》
2013年第4期21-24,共4页
Water Sciences and Engineering Technology
关键词
矩形明渠
水面线计算方程
优化拟合
解析算法
rectangular open channels
surface line calculation equation
optimize the fit
parsing algorithm
