基于MATLAB的梯形渠道横断面优化设计  

Optimization Design of Channel Cross Section Based on MATLAB

作　　者：仵峰[1] 马地[1] 宰松梅[1] 吴玉博[1] 冯雪芳[1] WU Feng;MA Di;ZAI Songmei;WU Yubo;FENG Xuefang(Henan Key Laboratory of Water-saving Agriculture,North China University of Water Resources and Electric Power,Zhengzhou 450045,China)

机构地区：[1]华北水利水电大学河南省节水农业重点实验室,河南郑州450046

出　　处：《华北水利水电大学学报（自然科学版）》2018年第1期86-90,共5页Journal of North China University of Water Resources and Electric Power：Natural Science Edition

基　　金：国家重点研发计划课题(2016YFC0400103);河南省科技攻关计划项目(152102110094)

摘　　要：渠道是农田水利工程的主要基础设施,是灌区输配水的主要形式。渠道设计中,渠道横断面是其重要内容之一,横断面参数的选取直接关系到工程的投资、运行及效益。重点分析了影响梯形断面的主要参数,考查了设计水深、渠道底宽、边坡系数等与渠道通过流量之间的关系。以MATLAB R2016b为工具,对横断面参数进行了优化计算,在已知渠道边坡系数、设计水深、通过流量、渠道糙率、渠道纵坡时,即可求得渠道底宽。与试验法和迭代法相比,该方法计算稳定,简便易行。计算结果表明,渠道流量一定时,边坡系数与渠道底宽呈二次函数关系;边坡系数一定时,底宽与流量呈近似一次正相关关系。Channel is the main infrastructure of farmland water conservancy projects,and the main form of irrigation water distribution in irrigation districts.The cross-section of channel is one of the important contents on channel design,and the channel cross-sectional parameters are directly related to the project's investment,operation and efficiency.This paper focuses on the main parameters affecting the trapezoidal section,and examines the relationships between channel flow and its design depth,channel width,slope coefficient and so on.The cross-section parameters are optimized,with MATLAB R2016b as the solution method.As the parameters of channel slope coefficient,design water depth,channel flow,channel roughness,channel longitudinal slope are known,we can get the channel width by this method,andcompared with the methods of test and iteration,this method has the advantages of calculation stability and simplicity.The results show that the influence of the slope on the bottom width showing a quadratic function when the channel flow is constant,and the slope width showing a positive correlation with the flow rate when the slope coefficient is constant.

关 键 词：明渠 梯形断面 MATLAB 底宽 数值计算 

分 类 号：TV93[水利工程—水利水电工程] S275.3[农业科学—农业水土工程]