水利水电科技进展Issue(6)：37-39,47,4.DOI:10.3880/j.issn.1006-7647.2013.06.007
蛋形断面隧洞临界水深的简易算法
Simple algorithm for the critical depth of an egg-shaped section water tunnel
滕凯1
作者信息
- 1. 齐齐哈尔市水务局，黑龙江 齐齐哈尔 161006
- 折叠
摘要
Abstract
A transcendental equation which has a complex expression form needs to be solved in three sub-sections in order to calculate the critical depth of an egg-shaped cross section. The equation can not be solved directly by an analytical method and the conventional trial method has the drawbacks of heavy computational effort, low efficiency and inconvenience for practical applications. Based on the optimal fitting theory, an objective function was chosen for the smallest standard residual difference. By fitting computation confined to suitable parameters in engineering, a general approximation formula was proposed. The formula has a simple expression, no sub-sections for calculation, easy for practical application. Precision analysis and computational results show that the maximum fitting error is only 0.649% and the process for critical depth calculation of an egg-shaped cross section can be greatly simplified, and the working efficiency can be improved significantly.关键词
过水隧洞/蛋形断面/临界水深/优化拟合/近似计算Key words
water tunnel/egg-shaped cross section/critical depth/optimal fitting/approximate calculation分类
建筑与水利引用本文复制引用
滕凯..蛋形断面隧洞临界水深的简易算法[J].水利水电科技进展,2013,(6):37-39,47,4.
