Vol.21, No.1, 2021, pp. 7–14
UDC:

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

Mouloud Dahmane1, Samir Zahaf2, Mohamed Benkhettab3, Mawhoub Soubih4, Sid Ahmed Slimane5, Djilali Boutchicha1

1) LMA, Department of Mechanical Engineering, USTO-MB, BP 1055 El Menaour, Oran, ALGERIA

email: dahmanemoul@gmail.com

2) Department of Technology, University of Djilali Bounaama-Khamis Meliana, Ain Defla, ALGERIA

email: samir.zahaf@univ-dbkm.dz

3) Department of Mechanical Engineering, Mostaganem University-Abdelhamid Ibn Badis, ALGERIA

4) Laboratory of Mechanics and Energy, Chlef University Hassiba Benbouali, Chlef, ALGERIA

5) Department of Space Mechanical Research, Satellites Development Centre, Algerian Space Agency, Ibn Rochd, USTO, Oran, ALGERIA

 

Abstract

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.

Keywords: fluid-conveying pipe, natural frequency, elastic foundation, FEM, Matlab, instability

full article (1.23 MB)