Position: Home > Articles > A Method of Simplifiing Calculations for the Normal Water Depth of Open Trapezoidal Channel with Arc Bottom
Journal of Heilongjiang Bayi Agricultural University
2012,24
(5)
85-88
弧底梯形明渠正常水深的简化计算法
作 者：
滕凯;周辉
单 位：
嫩江尼尔基水利水电有限责任公司;齐齐哈尔市水务局
关键词：
弧底梯形断面;正常水深;优化拟合;近似计算
摘 要：
弧底梯形断面明渠正常水深计算涉及高次方程求解,无法直接完成。由于目前工程上采用的试算法及图表法存在计算烦琐且精度不高问题,而利用计算机求解又涉及编程不便实际应用。本文采用多参数优化拟合的方法,以标准剩余差最小为目标函数,在工程适用参数范围内,经逐次逼近拟合计算获得了表达形式简单、求解精度较高的近似公式,具有一定的实用意义。
译 名：
A Method of Simplifiing Calculations for the Normal Water Depth of Open Trapezoidal Channel with Arc Bottom
作 者：
Teng Kai1,Zhou Hui2(1.Qiqihar Water Authority,Qiqihar 161006;2.Nen River Ni′erji Water Hydropower Co.Ltd.)
关键词：
trapezoidal cross-section with an arc bottom;normal depth of water;optimization and fitting;approximate calculation
摘 要：
The calculations of the normal depth of open trapezoidal channel with arc bottom was unable to directly be finished because of involving solution of equation of higher degree.Nowadays,the trial method and diagram method used in engineering showed such defects as complexity and lack of precision,and using computers involved programming and other inconvenience.In this regard,this paper adopted multi-parameter optimization and fitting methods,and took minimum standard residue as the object function.After several approximate fitting calculations within the parameter range of the engineering,a simple and highly precise approximate formula was got,which had certain practical meaning.
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