Parametric excitation of pipes through fluid flow

Computer Assisted Mechanics and Engineering Sciences

Volumn 6, Issue 3, 1999, Pages 487-494

  Szabó, Zsolt ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV APPROXIMATION; EQUATIONS OF MOTION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PULSATILE FLOW;

CHEBYSHEV POLYNOMIALS; FLOQUET THEORY; PARAMETRIC EXCITATION;

PIPE FLOW;

EID: 0033331703     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. T.B. Benjamin. Dynamics of system of articulated pipes conveying fluid, I-II. Proceedings of the Royal Society of London, Series A261: 457-499, 1961.
2. R.D. Blevins. Flow-Induced Vibration. Van Nostrand Reinhold, New York, 1990.
3. M. Farkas. Periodic Motions. Springer-Verlag, New York, 1994.
4. G.W. Housner. Bending vibrations of a pipe line containing flowing fluid. Journal of Applied Mechanics, 19: 205-208, 1952.
5. M.P. Païdoussis, C. Sundararajan. Parametric and combination resonances of a pipe conveying pulsating fluid. Journal of Applied Mechanics, 42(4): 780-784, 1975.
6. M.P. Païdoussis, N.T. Issid. Experiments on parametric resonance of pipes containing pulsatile flow. Journal of Applied Mechanics, 98(2): 198-202, 1976.
7. M.P. Païdoussis, G.X. Li. Pipes conveying fluid: a model dynamical problem. Journal of Fluids and Structures, 7: 137-204, 1993.
8. R. Pandiyan, S.C. Sinha. Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations. Non-linear Dynamics, 8: 21-43, 1995.
9. C. Semler, G.X. Li, M.P. Païdoussis. The non-linear equations of motion of pipes conveying fluid. Journal of Sound and Vibration, 169(5): 577-599, 1994.
10. C. Semler, M.P. Païdoussis. Parametric resonances of a cantilevered pipe conveying fluid: a nonlinear analysis. ASME/Design Engineering Technical Conferences, DE-Vol.84-1, Vol. 3 - Part A: 325-331, 1995.
11. S.C. Sinha, D.-H. Wu. An efficient computational scheme for the analysis of periodic systems. Journal of Sound and Vibration, 151: 91-117, 1991.
12. H. Troger. Nonlinear Stability and Bifurcation Theory: An Introduction for Engineers and Applied Scientists. Springer-Verlag, Wien, 1991.