作　　者： ; ; ; ; ;

机构地区： 惠州学院建筑与土木工程系

出　　处： 《人民黄河》 2014年第4期117-119,共3页

摘　　要： 平底Ⅰ形马蹄形断面其构造形式简单,在水利水电工程中较为常用,但正常水深的求解涉及到高次隐函数方程,传统的求解方法为查图表或试算法,既费时又费力,而且精度不高。通过对均匀流方程进行数学变换,选择适当的变量及曲线拟合得到平底Ⅰ型马蹄形断面正常水深的显式计算公式,误差分析及实例计算表明,在工程常用范围内,它的最大相对误差均为0.472%。该公式形式简洁、结论精确,具有一定的工程应用价值。 Type I horseshoe cross-section with fiat-bottom is a simplified form of the standard Type I horseshoe cross-section. Because of its sim- ple cross section,it is a common type in the field of hydroelectric engineering. The normal depth solution involves high-order hidden equation, The traditional solving methods, such as trial method and chart method, are very complicated with low precision. In this paper, based on the mathemat- ics transformation for the basis equation, the explicit formula for the calculation of normal water depth of Type I horseshoe cross-section with flat- bottom tunnel was derived by selecting proper variables and fitting curves. The maximum relatively error is 0. 472% under the general engineering design range. The characteristic of this formula is accurate and simple, which has great value for engineering apphcation.

关 键 词： 平底 型马蹄形断面 明渠 正常水深 显示计算公式

领　　域： [水利工程]