摘要
针对蛋形断面形式复杂,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、效率低的问题,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,经拟合计算得到了一个简化通用算式来替代原积分中的分段且不可积函数,并推求出了蛋形断面隧洞水面线计算的近似解析通式。拟合误差分析和实例计算结果表明:解析通式的计算误差小于2%;利用近似解析通式完成蛋形断面隧洞水面线计算可使求解过程大幅度简化,工作效率明显提高。
Egg-shaped cross-sections are complex in form,calculating such water surface profiles with conventional methods has the disadvantages of error accumulation, a large amount of necessary calculation, and low efficiency. To improve the calculation, the optimum matching theory was adopted in this study. An objective function of minimized standard residual deviation was selected, and a simplified general formula was obtained by the fitting calculation, which could be used to substitute for the segmented and non-integrable function in the original integral within the parameter range applicable to projects. Finally, a simplified formula was deduced for calculation of water surface profiles of tunnels with egg-shaped cross-sections. Error analysis and case study show that the calculation error of this calculation is less than 2%. The approximate formula greatly simplifies the water surface profile calculation of tunnels with egg-shaped cross-sections, and the working efficiency is obviously improved.
出处
《水利水电科技进展》
CSCD
北大核心
2014年第2期64-67,共4页
Advances in Science and Technology of Water Resources
关键词
过水隧洞
蛋形断面
水面线
优化拟合
近似计算
water tunnel
egg-shaped cross-section
water surface profile
optimum matching
approximation calculation
