【摘要】 目的为了提高给排水管网的计算精度,简化给排水管道节点地面标高的计算,提出一种计算地面标高的趋势面模拟法.方法将该曲面分成若干小块,在每一小块的区域范围内,用一个最趋近它的规则曲面方程来代替.既利用最小二乘原理,采用多项式逼近的方法来进行每一小块区域的地形趋势面的模拟,并在求解过程中对系数向量进行数学处理.结果采用趋势面模拟法计算出的节点地面标高比传统方法的精度提高2~5倍,且节省了大量的人工计算处理工作量,计算处理速度明显提高.结论笔者方法较传统的等高线平面图解插值法精确,实现了给排水管网全部采用计算机进行设计计算,可提高工程设计的精度和效率.更多还原

【Abstract】 In order to improve the accuracy of water supply and drainage network and simplify the node to the drain pipes on the calculation of surface elevation,a new simulation method is proposed for calculating the ground elevation-trend surface.Floor space is an irregular surface,and finding a completely irregular surface of the surface equation is impossible.The surface can be divided into several small pieces.The one which is the most similar to its rules is used to replace the surface equation in each small region.Both the least square method and polynomial approximation method can do the terrain surface simulation of each small area.The coefficient vector is dealt with the mathematical treatment during the solution process,so that the results will be more accurate.Trend surface simulation method which is used to calculate the node surface elevation is 2 to 5 times as accurate as the traditional methods and saves a lot of manual calculation processing workload.As a result and the calculation processing speed has been improved significantly.This method is more accurate than traditional layout solution contour interpolation.It achieves the aim of using computers to do design calculation in the sewer system and can improve the accuracy and efficiency of engineering design.更多还原