摘要
本文对液压管路分布参数模型提出了合理的近似方法。近似方法包括两个数学近似,一个是用一阶惯性项的有限项和取代Bessel函数比,另一个是对双曲函数采用了无穷乘积。使用上述方法,我们可以通过通用的计算机程序得到分布参数模型传递矩阵中基本元素的近似。近似式中各项二阶因式的无阻尼自振频率和阻尼比准确地决定了传递矩阵各元素的谐振频率,利用这些结果我们将可以推导出矩阵各元素的精确近似表示。
A reasonable approximation method for the distributed parameter model of fluid transmission lines is proposed in this paper.Two mathematical treatments for the approximation are considered in the method. One is to substitute the Bessel function ratio by the sum of finite terms of the first order lag elements. The other is to adopt infinite products for hyperbolic functions.By use of the above method,the approximation of basic elements of transfer matrix for the distributed parameter model are obtained through a general computer program. Resonance frequencies of the elements of transfer matrix are determined accurately by undamped natural frequencies of the above approximations. Therefore accurate approximations of transfer functions among the fluid variables in hydraulic pipe dynamics can be obtained by use of the results.
出处
《机床与液压》
北大核心
1989年第1期43-50,共8页
Machine Tool & Hydraulics
