摘要
矩形断面渠槽水力计算因涉及高次方程求解,传统算法(图解法、试算法、迭代法)过程繁复而且精度有限。经过对矩形断面渠槽均匀流水力计算公式的整理变形,通过引入中间变量,采用优化拟合的方法,以标准剩余差最小为目标函数,经多组拟合替代函数的逐次逼近,获得了表达形式简单、计算简捷的简化计算公式,由精度分析及算例计算表明,在工程实用参数范围内,简化公式的最大替代相对误差仅为0.497%,具有较高的求解精度,可在实际工程的设计中推广应用。
The hydraulic calculation of a rectangular cross-section channel involves higher-order equation solving, its traditional algorithm （graphical method, test algorithms, iterative method） process is complex and the accuracy is limited. The hydraulic calculation formula of uniform flow in a rectangular cross-section channel was modified with optimization fitting method by introducing intermediate variables, the minimum standards difference as the objective function, by successive fitting alternative function approximation, it obtained a simplified formula with a simple form and calculation; The accuracy analysis and numericM examples show that, within the practical engineering parameters, the largest alternative relative error created by the simplified formula is only 0.497%, so it has a high accuracy, and it will be promoted in practical engineering design.
出处
《吉林水利》
2012年第12期20-22,共3页
Jilin Water Resources
关键词
矩形渠槽
水力计算
优化拟合
简化计算
rectangular channel
hydraulic calculation
optimized fitting
simplified calculation
