Stability Issues of Welded Pipe Containing Pulsatile Flows
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Abstract
This paper deals with the dynamics and stability behavior of a welded pipe containing flowing
fluid having a small harmonic component superposed. The equation of motion was derived to
represent the motion of a welded pipe conveying a pulsatile flow using a tensioned Euler- Bernoulli
beam theory. The finite element analysis was used to simulate the harmonic motion of a welded pipe
conveying fluid. It was shown that welded pipes with clamped-clamped and clamped-pinned supports
are subject to a multitude of parametric instabilities in all their modes. Stability maps are presented for
parametric instabilities of welded pipe with clamped-clamped and clamped-pinned ends. It is found
that the extent of the instability regions increases with flow velocity for clamped-clamped and
clamped-pinned welded pipes. The most important consideration from a practical point of view is to
avoid the onset of parametric resonance.
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References
Bolotin V. V., "The Dynamic Stability of Elastic System", San Francisco Hoiden Day Inc. 1964.
Chen S. S., "Dynamic Stability of Tube Conveying Fluid", Journal of the Engineering Mechanics Division Proceeding of the American Society of Civil Engineering, pp. 1469-1485, 1971.
Kuiper G. L., and Metrikine A. V., " On Stability of a Clamped-Pinned Pipe Conveying Fluid", Heron, Vol. 49, No. 3, pp. 211-231, 2004.
Lee S. Y., and Mote C. D., "A Generalized Treatment of the Energetic of Translating Continua, Part I: Strings and Tensioned Pipes", Journal of Sound and Vibration 204, pp. 717-734, 1997.
Lee S. Y., and Mote C. D., "A Generalized Treatment of the Energetic of Translating Continua, Part II: Beams and Fluid Conveying Pipes", Journal of Sound and Vibration 204, pp. 735-753, 1997.
Paidoussis M. P., "Fluid-Structure Interactions: Slender Structures and Axial Flow", Vol.1, Academic Press, London, 1998.
Singh K., and Malik A. K., "Parametric Instabilities of Periodically Supported Pipe Conveying Fluid", Journal of Sound and Vibration, Vol.62, No. 3, pp. 379-397, 1979.
Wang X., and Bloom F., "Stability Issues of Concentric Pipes Containing Steady and Pulsatile Flows", Journal of Fluids and Structures< 15, 1137-1152, 2001.
Zsolt Szabó, Sinha S. C., and Gabor Stepan, "Dynamics of Pipes Containing Pulsative Flow", ASME Design Engineering Technical Conferences, September 14-17, Sacramento, California, 1997.
Zsolt Szabó, "Bifurcation Analysis of a Pipe Containing Pulsatile Flow", PERIODICA POLYTECHNICA SER. MECH.ENG. VOL.44, NO.1, 149-160, 2000. Zsolt Szabó, " Nonlinear Analysis of a Cantilever Pipe Containing Pulsatile Flow", Journal of
Meccanica, Springer Netherlands, Volume 38, Number 1,pp. 163-174, January, 2003.