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滕 凯,李新宇.六圆弧蛋形断面无压隧洞水面线解析计算模型水资源与水工程学报[J].,2013,24(4):174-179
六圆弧蛋形断面无压隧洞水面线解析计算模型
Calculation model of water surface line analysis in tunnel of six circular egg-shaped section without pressure
投稿时间:2013-03-08  修订日期:2013-03-19
DOI:10.11705/j.issn.1672-643X.2013.04.041
中文关键词:  六圆弧蛋形过水隧洞  水面线  优化拟合  解析计算模型
英文关键词:six circular egg-shaped section water tunnel  water surface line  optimum and fit  approximate calculation model
基金项目:
作者单位
滕 凯 齐齐哈尔市水务局, 黑龙江 齐齐哈尔 161006 
李新宇 大连交通大学, 辽宁 大连 116021 
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中文摘要:
      六圆弧蛋形断面形式复杂,水力要素为分4个区间给出的超越方程,用常规方法完成水面线计算不但存在误差累积而且计算工作量大、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简化通用算式替代原积分中的分段且不可积函数(最大拟合误差仅为1.53%),不但实现了由差分逐断面推算改为直接积分获解,而且由于正、负拟合误差的相互抵消,使最终计算成果的精度进一步提高。利用该近似公式完成六圆弧蛋形断面隧洞水面线计算,可使求解过程简化,工作效率明显提高,具有实用推广意义。
英文摘要:
      The form of six circular arc and egg-shaped cross-section is complex. The hydraulic element is divided into conventional transcendental equation given by four intervals. The surface line calculation by use of common method exists not only cumulative error but also heavy workload of calculation and low efficiency. Based on optimum and fit theory, took the minimum of standard remaining difference as the objective function, the paper got a simplified universal formula instead of the original integral and non-integral functions within the engineering application parameters obtained by the fitting calculation segmented (maximum fitting error only 1.53%). The method not only realized the solution conversion of differential-by-sectional into direct integration ,but also further improved the accuracy of the projections because of the positive and negative fitting errors cancel each other. Using the approximate formula to calculate the water surface line of the six arc egg-shaped section tunnel makes the solved process more simple and the work efficiency higher, and has the practical significance of promotion.
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