含有流动液体的复合材料管道的振动

ON THE VIBRATION OF COMPOSITE MATERIAL PIPES CONTAINING FLOWING FLUID

本文讨论了含有流动液体与复合材料管道的耦合振动问题,其方法是引入位移函数,将文献[1]中关于考虑沿厚度方向的剪切变形及转动惯量的正交各向异性园柱层壳的五个微分方程式转化成一个微分方程式,在此基础上,借助于文献[2]中动水压力公式,研究了无限长度复合材料管道在平均流速为U时的振动问题,作了数值计算,得到了一些有意义的结果。

In this paper, the problem of free vibration of a composite material pipe containing flowing fluid is discussed. The pipe is made in multi-layer and the layers are so numerous that a designer can set A16, A26, B16,B26,D16, D26, and C45 to vanish.Consequently, the pipe may be regarded as an orthotropic cylindrical shell.By introducing a function of displacement, the governing equations, including the effects of transverse shear deformation and rotary inertia for an orthotropically laminated cylindrical shell in Ref.[1] are reduced to a single differential equation. On the basis of such a formula (2) cal-culating the disturbing pressure on the pipe wall, the frequency equation of an infinitely long pipe containing flowing fluid is obtained.As an example, a water pipe is considered. The numerical calculation shows tht the free vibration frequencies of an empty pipe are higher than those of a pipe filled with water. The dependence of freqencies of free-vibratio.n on average flowing velocity U is calculated and listed in the attached table.