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蛋形断面隧洞正常水深的简易算法 预览 被引量:4

A Simple Calculation Method for the Normal Water Depth of Tunnel with Egg-shaped Section
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摘要 由于蛋形断面隧洞形式相对比较复杂,正常水深计算需完成较复杂的超越方程求解,通过解析法无法直接获解。常规的图表法,实际应用中不仅依赖图表且存在查图(表)取值的人为误差;试算法由于公式分段且表达形式为非常复杂的超越方程,重复计算工作量大、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,经拟合计算获得了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0.729%)的近似公式,具有一定的实用推广意义。 The normal water depth of tunnel with egg-shaped cross-section involves the solution of complex transcen- dental equations, and it cannot be calculated directly late by conventional method of looking-up tables and by analytical method. It' s redundant and inaccurate to calcu- diagrams which would cause man-made errors. Meanwhile by trial method, the formulas are partitioned and the equations are complicated with heavy work load and low efficien- cy. In this research, an approximate formula was obtained by optimal fitting in the range of parameters applicable to practical engineering with the minimum standard residual difference as the objective function. The formula is con- venient, practical, and simple in expression. Its precision also meets design requirements (maximum error 0. 729% ). It is of practical promotion significance.
作者 滕凯 TENG Kai (Qiqihar Municipal Water Affairs Bureau, Qiqihar 161006, China)
出处 《长江科学院院报》 CSCD 北大核心 2013年第12期39-42,47共5页 Journal of Yangtze River Scientific Research Institute
关键词 蛋形过水断面 正常水深 优化拟合 近似计算 egg-shaped flow section normal water depth optimal fitting approximate calculation
作者简介 滕凯(1957-),男,黑龙江齐齐哈尔人,高级工程师,主要从事水利防灾减灾及工程优化设计研究,(电话)13704618836(电子信箱)tengkai007@163.com。
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