摘要
标准门洞形隧洞临界水深计算需完成超越方程求解,而且因断面形式特殊,求解函数分2个区间给出,无法直接获解。常规的图表法、试算法及近似法均存在计算公式分段、表达形式复杂等问题。文章依据优化拟合理论,取标准剩余差最小为目标函数,在工程适用参数范围内,通过逼近拟合计算,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0.489%)的近似公式,具有一定的实用推广意义。
Calculation of the critical water depth in the standard horseshoe tunnels requires applying transcendental equation. Further- more, the calculation function is in two ranges clue to the special section. So, the critical water depth cannot be calculated directly. The conventional graphics, trial method and approximation method all are with the calculation formula in section and complicated expression. In this paper, the minimum standard residual difference is taken as the target function based on the optimized fitting theory. Within the applicable range of the engineering parameters, one approximate formula featuring expression of one normal calculation formula, simple, direct, convenient for practice and calculation precision satisfying design requirement （ error, 0. 489% at maximum） is concluded through the approaching fitting calculation. This formula is worth of developing in practice.
出处
《西北水电》
2013年第4期24-26,共3页
Northwest Hydropower
关键词
门洞形过水隧洞
临界水深
优化拟合
近似计算
arched section tunnel
critical water depth
optimized fitting
approximate calculation
