摘要
本文推导出包括频率相关摩擦的液压管道流体动力学模型,并得到了该模型的近似表达式。考虑两个数学近似,一个是用一阶惯性有限项和代替Bessel函数比,另一个是对双曲函数采用无穷乘积。用以上方法得到分布参数模型传递矩阵基本元素的近似。这一表示式在计算中具有高速度和高精度的特点。
In this paper, a fluid dynamics model of hydaulicline including frequency-dependent friction is developed andits approaximate expression is got. Two mathematical treat-ments for the approximation are considered. One is to substitutethe Bessel function ratio by the sum of fine terms of the firstorder lag elements. The other is to adopt infinite products forhyperbolic-functions. By means of the above method, the app-roaximation of basic elements of transfer matrix for the distri-buted parameter model is obtained. This expression possesseshigh speed and accurate characteristics in computing.
关键词
液压管道
模型
流体动力学
矩阵
hydraulic transmission lines
model transfer matrix
