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。
The form of six circular arc and egg- shaped cross- section is complex. The hydraulic ele- ment is divided into conventional transcendental equation given by four intervals. The surface line calcu- lation 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 projec- tions 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.
出处
《水资源与水工程学报》
2013年第4期174-179,共6页
Journal of Water Resources and Water Engineering
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
six circular egg - shaped section water tunnel
water surface line
optimum and fit
approxi-mate calculation model
