Stability Analysis of Solid-Liquid Coupling Timoshenko Pipes
Feng Zhenyu  Zhao Fengqun
(Xi'an Highway University 710064) (Xi'an University of Techonology 710048)

Abstract:  On the basis of Hamilton priciple, the differential equation of solid-liquid coupling vibration of Timoshenko pipe conveying fluid is derived. The natural frequencies and critical flow velocities of Timoshenko pipe are calculated by power series method. The curves of the first three orders of natural frequency-flow velocity of Timoshenko pipe are given and the effect of moment of inertia on stability of the pipe is analysed. The numerical result shows that moment of inertiahas no effect on the static instability of hinged-hinged Timoshenko pipe butan effect on the frequency behaviors and the dynamic instability of it.
Keywords: Timoshenko pipe, solid-liquid coupling vibration, stability, critical flow velocity, power series method.