摘要
消力池深计算需完成高次方程联立求解,无法直接获得。针对目前传统算法及近似算法存在的计算繁琐且成果精度不高、利用微机编程获解又不便于基层工程技术人员应用等问题,通过对池深水力计算相关方程组进行数学变换,采用优化拟合的方法,以标准剩余差最小为目标函数,在工程实用范围内,经逐次逼近拟合,获得了计算简捷、成果精度满足工程设计要求的简化计算公式。具有一定的实际推广意义。
The depth calculation of stilling basin requires the solution of simultaneous equation of higher degree, which can not be obtained directly. The traditional algorithms and approximation algorithm are tedious and with low precision, and the solution which needs programming by computers is not convenient for the technicians in the base level departments. For the application in engineering field, the simplified formula for depth calculation of stilling basin is acquired after successive approximation, by mathematical transformation of related equations, using optimized fitting method and taking minimal standard residual difference as objective function. The calculation is simple and quick, and the precision meets the engineering requirement.
出处
《人民长江》
北大核心
2012年第15期73-75,87,共4页
Yangtze River
关键词
高次方程组
优化拟合
近似计算
消力池深
higher equations
optimized fit
approximation
depth of stilling basin
