蛋形断面的正常水深和临界水深的直接计算公式
发布时间：2018-08-16 16:23
【摘要】：蛋形断面的正常水深和临界水深的计算公式为分段超越方程,无法直接求解。通过数学变换对正常水深和临界水深公式化简,最终得到充满度x和无量纲正常水深参数H、无量纲临界水深参数P之间的关系,利用1stopt软件基于遗传算法编程对给定非线性函数模型进行参数优化拟合建立蛋形断面正常水深和临界水深的显示计算公式。经过误差分析及实例计算,表明在较大工程常用范围内,蛋形断面正常水深、临界水深的最大相对误差分别仅为0.3691%、-0.0726%。与现有公式比较直接计算公式适用范围扩大,精度更高,形式较为简捷。研究成果可为渠道工程设计和运行管理提供可靠的理论依据和有益参考。
[Abstract]:The formula of normal water depth and critical water depth of egg section is piecewise transcendental equation, which can not be solved directly. The relationship between the filling degree x, the dimensionless normal water depth parameter H and the dimensionless critical water depth parameter P is obtained by mathematical transformation for normal water depth and critical water depth. Based on genetic algorithm (GA), the 1stopt software is used to optimize and fit the parameters of a given nonlinear function model to establish the display formulas of normal water depth and critical water depth of egg section. Through error analysis and example calculation, it is shown that the maximum relative error of critical water depth is only 0.3691 ~ 0.0726in the normal water depth of egg-shaped section in large engineering common use. Compared with the existing formula, the direct calculation formula has the advantages of wider application range, higher precision and simpler form. The research results can provide reliable theoretical basis and useful reference for channel engineering design and operation management.
【作者单位】： 中国电建集团贵阳勘测设计研究院;中国水电建设集团十五工程局有限公司;大连理工大学建设工程学部;云南建工水利水电建设有限公司;
【分类号】：TV133
本文编号：2186524
[Abstract]:The formula of normal water depth and critical water depth of egg section is piecewise transcendental equation, which can not be solved directly. The relationship between the filling degree x, the dimensionless normal water depth parameter H and the dimensionless critical water depth parameter P is obtained by mathematical transformation for normal water depth and critical water depth. Based on genetic algorithm (GA), the 1stopt software is used to optimize and fit the parameters of a given nonlinear function model to establish the display formulas of normal water depth and critical water depth of egg section. Through error analysis and example calculation, it is shown that the maximum relative error of critical water depth is only 0.3691 ~ 0.0726in the normal water depth of egg-shaped section in large engineering common use. Compared with the existing formula, the direct calculation formula has the advantages of wider application range, higher precision and simpler form. The research results can provide reliable theoretical basis and useful reference for channel engineering design and operation management.
【作者单位】： 中国电建集团贵阳勘测设计研究院;中国水电建设集团十五工程局有限公司;大连理工大学建设工程学部;云南建工水利水电建设有限公司;
【分类号】：TV133
【相似文献】
相关期刊论文 前10条
1 李风玲;文辉;欧军利;黄寿生;彭波;;宽浅式U形渠道正常水深的近似计算公式[J];人民长江;2007年08期
2 陈萍;滕凯;;标准门洞形过水隧洞正常水深的计算[J];水科学与工程技术;2012年03期
3 滕凯;张丽伟;;标准U形断面渠槽正常水深的简化计算法[J];浙江水利科技;2013年01期
4 刘东;灌渠正常水深的计算公式[J];水利水电快报;1995年14期
5 张新燕;吕宏兴;;无压圆形隧洞正常水深直接算法[J];水力发电学报;2014年01期
6 赵延风;刘军;梅淑霞;王正中;孟秦倩;;普通城门洞形断面正常水深的近似计算方法[J];武汉大学学报(工学版);2009年06期
7 赵延风;王正中;方兴;刘计良;洪安宇;;半立方抛物线形渠道正常水深算法[J];排灌机械工程学报;2011年03期
8 王羿;王正中;赵延风;冷畅俭;;抛物线断面河渠正常水深的近似计算公式[J];人民长江;2011年11期
9 刘计良;王正中;苏德慧;杨晓松;刘铨鸿;;典型断面渠道正常水深计算[J];排灌机械工程学报;2012年03期
10 张新燕;吕宏兴;朱德兰;;U形渠道正常水深的直接水力计算公式[J];农业工程学报;2013年14期
，本文编号：2186524
本文链接：https://www.wllwen.com/kejilunwen/shuiwenshuili/2186524.html
