摘要
本文对上游端是正弦脉动,下游端是油腔的液压管道粘性脉动流的共振问题,作为一维非定常流动,利用解析的方法进行了数学上的分析.将两个自变量的一阶拟线性双曲型偏微分方程组的初边值问题线性化,近似地取小粘性管流的共振频率为其固有频率,用驻波法建立了计算共振频率和共振点位置的公式,并应用这些公式作了计算,其结果与实验数据颇为符合.此外,文中还给出了含粘性项的液压计算公式,由它可以分析粘性项对液压的影响.
In this paper the resonance problem is analysed for the viscous flow in a hydraulic pipe with an oil cavity at the downstream under the upstream sinusoidal pressure pulse. As a non-stationary and one dimensional flow, it results in the initial-boundary value problem for a first order quasilinear hyperbolic system of partial differential equations with two variables by linearization. The resonant frequencies for the pipe flow of small viscosity can be taken as the natural frequencies approximately, the analytical formulas for resonant frequencies and the positions of resonance points are found by the standing wave method, and the computed and experimental results are in good agreement. Moreover, the hydraulic computational formula involving the viscous terms is given, and the effects of viscous terms on the hydraulic pressure are analysed.
出处
《振动工程学报》
EI
CSCD
1991年第1期41-51,共11页
Journal of Vibration Engineering
基金
航空科学基金
关键词
液压管道
粘性流
共振
脉动流
频率
hydraulic technique
viscous flow
resonant frequency
natural frequency
standing wave method
