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无压六圆弧蛋形断面隧洞正常水深的简化计算
引用本文:滕凯.无压六圆弧蛋形断面隧洞正常水深的简化计算[J].中国农村水电及电气化,2013(3):32-36,4.
作者姓名:滕凯
作者单位:齐齐哈尔市水务局,黑龙江省齐齐哈尔市161006
摘    要:由于六圆弧蛋形断面形式复杂,正常水深无法通过解析法获解。常规的计算法由于公式分段、表达形式为复杂的超越方程,计算工作量大、效率低。依据优化拟合理论,以标准剩余差最小为目标函数,在工程适用参数范围内,经拟合计算获得由一个通用算式表达、形式简单直观、便于实际应用、计算精度满足设计要求(最大误差为0.887%)的近似公式,具有一定的实用推广意义。

关 键 词:蛋形过水隧洞  正常水深  优化拟合  近似计算

Simplified Calculation of Normal Water Depth in Six-arc Egg-shaped Cross-section Tunnel with No Pressure
TENG Kai.Simplified Calculation of Normal Water Depth in Six-arc Egg-shaped Cross-section Tunnel with No Pressure[J].Rural Hydropower & Electrification in China,2013(3):32-36,4.
Authors:TENG Kai
Affiliation:TENG Kai (Qiqihar Municipal Water Authority, Qiqihar City of Heilongjiang Province, 161006, China)
Abstract:Since six-arc egg-shaped cross section has complex form. The normal water depth can not be obtained through analytical method, The conventional method has heavy calculation workload and low efficiency due to segmented formula, and transcendental equation with very complex expression form. The standard remaining difference is adopted as objective function based on the optimization fitting theory. An approximate formula with general formula expression, simple and intuitive form, convenient practical application and calculation precision meeting the design requirement ( maximum error of 0. 887% ) is obtained through fitting calculation in the project application parameter scope. The formula has certain practical promotion significance.
Keywords:egg-shaped water tunnel  normal water depth  optimization fit  approximate calculation
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