【摘要】 普通城门洞形断面临界水深的计算需求解高次隐函数方程,理论上无解析解,传统的图解法或者试算法计算过程复杂,费时费力。通过引入无量纲临界水深,对城门洞形断面临界水深的基本方程进行恒等变形,根据优化拟合原理,得到临界水深的近似计算公式。误差分析及实例计算表明,在工程常用范围内,临界水深的最大相对误差小于0.39%。该公式形式简捷、精度高、适用范围广。更多还原

【Abstract】 The critical water depth in common cityopening shaped cross-section needs to solve the high order implicit function equation.There is no analytical solution theoretically.The graphical method or trial and error algorithm is complicated and time consuming.This thesis obtains an approximate formula calculating the critical water depth by constant deformation on the basic equation of the critical water depth in city-opening shaped cross-section and introduces dimensionless critical water depth according to optimization theory.The error analysis and examples manifest that the maximum relative error of critical water depth is less than 0.39% within the common project and the formula has a direct and simple form,high precision and widely applied range.更多还原