可压缩流体引起输液圆柱壳的振动及稳定性

Vibration and Stability of Cylindrical Shell Conveying Compressible Fluid

本文研究了可压缩流体引起输液管道的振动及稳定性 ,考虑了流体速度对耦合系统特征值的影响 ,并利用Thomson函数对复宗量的Bessel方程进行了求解。计算结果表明 :流速使特征频率下降 ,当流速达到某一临界值时 ,存在一个不稳定区 ,在该区域内两种失稳的可能性都存在 ;对于工程中的实际问题 ,流速较低 ,系统不会发生颤振 ,同时流速对管道振动特征值的影响可以忽略。

In this paper we investigated the vibration and stability of a cylindrical shell conveying compressible fluid by considering the effect of flow speed to the coupled system eigenvalue,and solved Bessel's equation by using Thomson's function.Numerical results showed that the flow speed made the frequency lower,and there exist an unstable region when the flowing speed reached a critical value,two types instabilities may exist in the area,one is buckling and the other is flutter.The flutter can hardly occur for a practical problem of which the flow speed is much lower,but we should take into account the effect of flow speed to the frequency of the coupled system.