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普通城门洞形断面正常水深的近似计算方法 被引量:8

Approximate method for calculating normal water depth in common city-opening shaped cross-section
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摘要 普通城门洞形过水断面在水利水电工程中应用已很普遍,其正常水深是一个超越方程,无解析解,为使该断面正常水深的求解方法能够简捷、通用且有较高精度,提出了一种近似计算方法.通过引入无量纲正常水深,对普通城门洞形断面正常水深的基本方程进行恒等变形,并根据优化拟合原理对已知量综合参数k与无量纲水深x进行优化拟合,得到了正常水深的近似计算公式,误差分析及实例计算表明,在工程常用范围内,正常水深的最大相对误差小于0.62%.直接计算公式形式简捷、精度高、适用范围广. The city-opening shaped cross-section has been applied to hydroelectric engineering;it is a transcendental equation to solve the normal water depth with no analytical solution. An approximate calculation method is proposed with simple and direct, general, and high precision. For this approximate method for calculating normal water depth in city-opening shaped cross-section, the constant deformation is used on the basic equation, and then the dimensionless normal water depth and fitting optimization integrated parameters k and dimensionless depth x are introduced in according to optimization theory. The error analysis and case studies show that the maximum relative error of contraction water depth is less than 0.62% within the common project. The formula has a direct and simple form, high precision and wide application.
作者 赵延风 刘军 梅淑霞 王正中 孟秦倩 ZHAO Yanfeng , LIU Jun ,MEI Shuxia ,WANG Zhengzhong , MENG Qinqian (1. College of Water Resources and Architectural Engineering, Northwest AgaF University, Yangling 712100, China;2 Reseaeh Center of Water Engineering Safety and Disaster Prevention, Northwest A &F University, Yangling 712100, China;3. Water and Electricity Work Team of Weibin District of Baoji City, Baoji 712000, China)
出处 《武汉大学学报:工学版》 CAS CSCD 北大核心 2009年第6期773-775,共3页 Engineering Journal of Wuhan University
基金 国家“863”高技术研究与发展计划项目(编号:2002AA62Z3191) 陕西省水利科技专项计划项目(编号:2006-01).
关键词 普通城门洞形断面 正常水深 近似计算 common city-opening shaped cross-section normal water depth approximate calculation
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