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Non-linear dynamics of a simply supported fluid-conveying pipe subjected to motion-limiting constraints: Two-dimensional analysis.
- Source :
-
Journal of Sound & Vibration . Nov2018, Vol. 435, p192-204. 13p. - Publication Year :
- 2018
-
Abstract
- Abstract In this paper, the coupled axial and transverse non-linear vibrations of a simply supported pipe, subjected to motion-limiting constraints, conveying pulsating fluid are investigated. The equations of motion are discretized into a set of coupled ordinary differential equations via Galerkin's method, which are then solved using Houbolt's method combined with Newton-Raphson iterative technique. The bifurcation diagrams are constructed to present the global dynamics of the system. Phase-plane portraits, Poincaré maps and power spectrum diagrams are plotted to show the characteristics of some typical motions, such as quasi-periodic and chaotic motions. Finally, the influence of axial motion on the system dynamics is investigated. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022460X
- Volume :
- 435
- Database :
- Academic Search Index
- Journal :
- Journal of Sound & Vibration
- Publication Type :
- Academic Journal
- Accession number :
- 131807204
- Full Text :
- https://doi.org/10.1016/j.jsv.2018.08.018