基于正交多项式的超声波测流多声道坐标求解方法

Methods for solving multipath distribution coordinates for ultrasonic flow measurement based on orthogonal polynomials

应用几种正交多项式及其零点特性,建立了不同断面形状管道超声波测流声道分布坐标、声道加权积分系数的数学模型,提出了其相应最优声道分布坐标、声道加权积分系数的求解方法,从而较好地解决了多声道超声波测流最优声道选择和布置问题.

Several classical orthogonal polynomials and their zero characteristics are applied to establish the mathematical models for multipath distribution coordinates and weight coefficient for ultrasonic flow measurement with different sectional shapes of penstocks.The solving methods about their corresponding optimal multipath distribution coordinates are proposed so as to solve the problem of selection and disposition of the optimal multipath.