立方抛物线形断面收缩水深的直接计算研究

发布时间：2018-06-29 23:03

本文选题：迭代逼近 + 逐次优化拟合　；参考：《中国农村水利水电》2017年02期

【摘要】：立方抛物线形断面收缩水深的计算需求解含已知参数的单变量高次方程,理论上无解析解。首次提出高次方程近似求解的迭代逼近-逐次优化拟合方法,基于迭代理论建立合适的拟合函数模型,选取适当的参数对其进行逐次优化拟合,得到一套高精度的直接计算公式,为明渠特征水深的精确计算提供了一条新的途径。误差分析及实例计算结果表明,在工程适用范围内,该公式的最大相对误差绝对值小于0.118%,精度高于现有的各类直接计算公式,具有较大的工程实用价值。
[Abstract]:The solution for the calculation of the shrinking Water depth of cubic Parabola Section the solution of the univariate higher order equation with known parameters has no analytical solution in theory. The iterative approximation-successive optimization fitting method for approximate solution of higher order equation is proposed for the first time. A suitable fitting function model is established based on iterative theory, and appropriate parameters are selected to carry out successive optimization fitting. A set of high precision direct calculation formulas is obtained, which provides a new way for the accurate calculation of open channel characteristic water depth. The results of error analysis and practical calculation show that the absolute value of the maximum relative error of the formula is less than 0.118, and the precision is higher than that of all kinds of direct calculation formulas, which is of great practical value in engineering.
【作者单位】：扬州大学水利与能源动力工程学院;宿迁水利枢纽管理局;江苏省洪泽湖水利工程管理处;
【基金】：“十二五”国家科技支撑计划项目(2015BAB07B01) 江苏省普通高校研究生科研创新计划项目(KYLX16_1397) 中国博士后科学基金面上资助项目(2015M571826) 江苏省高校优势学科建设工程资助项目(PAPD) 扬州大学大学生学术科技创新基金资助项目(x20160528),扬州大学科技创新培育基金(2015CXJ025)
【分类号】：TV133

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