Geometrical and Physical Effects on the Instability of a Fluid-Conveying Pipe
- 1 USTO-MB, Algeria
- 2 University of Djilali Bounaama-Khamis Meliana, Algeria
- 3 Mostaganem University, Algeria
- 4 Chlef University Hassiba Benbouali, Algeria
Copyright: © 2020 Dahmane Mouloud, Samir Zahaf, Benkhettab Mohamed, Djilali Boutchicha and Mawhoub Soubih. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
The endeavor of this paper is to calculate frequencies and critical velocity of pipe carrying incompressible fluid are obtained using standard finite element method. Finite element beam type with two degrees of freedom per node was used. The natural frequencies of our system are calculated by using a program developed on MATLAB. The results are compared with those predicted by the differential transformation method and with other results listed in the literature, where several examples were studied, for pipes with different boundary conditions: Pinned-pinned and clamped-pinned. We determine the influence of the effect of mass ratio, length and elastic foundation of the proper frequencies and the critical velocity for fluid conveying pipe to study and analyze instability with its concepts.
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- Pipe Carrying Fluid
- Winkler Elastic Foundation