APPLICATION OF THE FINITE ELEMENT METHOD TO VIBRATION ANALYSIS OF PIPES CONVEYING FLUID FLOW

In this paper, the equations are discretized with standard finite element method (FEM), and are generalized to analyse the free vibration problem of clamped-clamped pipes carrying fluid flow with several parameters. The flow circulating has the flexional motion as that of pipe structure. We developed a program under Matlab. The advantage of Matlab language by using standard functions is to present the first proper-modes of the system aspect interaction fluid-structure for different parameters in complex planes. The numerical approach is based on some research and analytical models. Numerical results show the effect of mass ratio, length, pressure force and Winkler elastic foundation on instabilities regions and static instability range.

Automated summary

In this paper, the equations are discretized using the standard finite element method and analyzed with a developed program in Matlab, showing the effect of different parameters on the stability of clamped-clamped pipes carrying fluid flow. Numerical results demonstrate the impact of mass ratio, length, pressure force, and Winkler elastic foundation on instability regions and static instability range.