Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances

Journal of Sound and Vibration

Volumn 309, Issue 3-5, 2008, Pages 375-406

  Panda, L N ^a   Kar, R C ^b  

^a Biju Patnaik University of Technology   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; PULSATILE FLOW; VELOCITY MEASUREMENT;

HARMONIC VELOCITY PERTURBATION; INTERNAL RESONANCES; PARAMETRIC RESONANCE; PRINCIPAL PARAMETRIC;

PIPE FLOW;

EID: 35748956716     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.023     Document Type: Article

References (32)

1. Paidoussis M.P. Flow-induced instabilities of cylindrical structures. Applied Mechanics Review 40 (1987) 163-175
2. Paidoussis M.P., and Li G.X. Pipes conveying fluid: a model dynamical problem. Journal of Fluids and Structures 7 (1993) 137-204
3. Paidoussis M.P. Fluid-Structure Interactions: Slender structures and Axial flow Vol. 1 (1998), Academic Press, London
4. Chen S.S. Dynamic stability of a tube conveying fluid. ASCE Journal of Engineering Mechanics 97 (1971) 1469-1485
5. Paidoussis M.P., and Issid N.T. Dynamic stability of pipes conveying fluid. Journal of Sound and Vibration 33 (1974) 267-294
6. Paidoussis M.P., and Sundararajan C. Parametric and combination resonances of a pipe conveying pulsating fluid. ASME Journal of Applied Mechanics 42 (1975) 780-784
7. Ginsberg J. The dynamic stability of a pipe conveying a pulsatile flow. International Journal of Engineering Science 11 (1973) 1013-1024
8. Ariaratnam S.T., and Namachchivaya N.S. Dynamic stability of pipes conveying pulsating fluid. Journal of Sound and Vibration 107 (1986) 215-230
9. Namachchivaya N.S. Nonlinear dynamics of supported pipe conveying pulsating fluid 1. Subharmonic resonance. International Journal of Non-Linear Mechanics 24 3 (1989) 185-196
10. Namachchivaya N.S., and Tien W.M. Nonlinear dynamics of supported pipe conveying pulsating fluid 2. Combination resonance. International Journal of Non-Linear Mechanics 24 3 (1989) 197-208
11. Jayaraman K., and Narayanan S. Chaotic oscillators in pipes conveying pulsating fluid. Nonlinear Dynamics 10 (1996) 333-357
12. Chang C.O., and Chen K.C. Dynamics and stability of pipes conveying fluid. ASME Journal of Pressure Vessel Technology 116 (1994) 57-66
13. Yoshizawa M., Nao H., Hasegawa E., and Tsujioka Y. Lateral vibration of a flexible pipe conveying fluid with pulsating flow. Bulletin of JSME 29 (1986) 2243-2250
14. Thurman A.L., and Mote Jr. C.D. Non-linear oscillation of a cylinder containing flowing fluid. ASME Journal of Engineering for Industry 91 (1969) 1147-1155
15. Holmes P.J. Bifurcations to divergence and flutter in flow-induced oscillations: a finite-dimensional analysis. Journal of Sound and Vibration 53 4 (1977) 471-503
16. Holmes P.J., and Marsden J.E. Bifurcation to divergence and flutter in flow- induced oscillations: an infinite dimensional analysis. Automatica 14 (1978) 367-384
17. Rousselet J., and Hermann G. Flutter of articulated pipes at finite amplitude. Journal of Applied Mechanics 44 (1977) 154-158
18. Bajaj A.K., Sethna P.R., and Lundgren T.S. Hopf bifurcation phenomena in tubes carrying fluid. SIAM Journal of Applied Mathematics 39 (1980) 213-230
19. Bajaj A.K., and Sethna P.R. Bifurcations in three dimensional motions of articulated tubes. Part 2: Non-linear analysis. Journal of Applied Mechanics 49 (1982) 612-618
20. Bajaj A.K., and Sethna P.R. Flow induced bifurcations to three-dimensional oscillatory motions in continuous tubes. SIAM Journal of Applied Mathematics 44 (1984) 270-286
21. Oz H.R., and Boyaci H. Transverse vibrations of tensioned pipes conveying fluid with time-dependent velocity. Journal of Sound and Vibration 236 2 (2000) 259-276
22. Oz H.R. Nonlinear vibrations and stability analysis of tensioned pipes conveying fluid with variable velocity. International Journal of Non-Linear Mechanics 36 1 (2001) 1031-1039
23. Oz H.R., Pakdemirli M., and Boyaci H. Nonlinear vibrations and stability of an axially moving beam with time-dependent velocity. International Journal of Non-Linear Mechanics 36 1 (2001) 107-115
24. Nayfeh A.H., Nayfeh J.F., and Mook D.T. On methods for continuous systems with quadratic and cubic nonlinearities. Nonlinear Dynamics 3 (1992) 145-162
25. Pakdemirli M. A comparison of two perturbation methods for vibration of systems with quadratic and cubic nonlinearities. Mechanics Research Communications 21 (1994) 203-208
26. Pakdemirli M., and Boyaci H. Comparison of direct-perturbation methods with discretization-perturbation methods for nonlinear vibrations. Journal of Sound and Vibration 186 (1995) 837-845
27. Tezak E.G., Mook D.T., and Nayfeh A.H. Nonlinear analysis of the lateral response of columns to periodic loads. Journal of Mechanical Design 100 (1978) 651-659
28. Chin C.M., and Nayfeh A.H. Three-to-one internal resonances in parametrically excited hinged-clamped beams. Nonlinear Dynamics 20 (1999) 131-158
29. Nayfeh A.H., and Balachandran B. Modal Interactions in Dynamical and Structural Systems. Applied Mechanics Review 42 (1989) 175-201
30. Nayfeh A.H. Nonlinear Interactions (1998), Wiley, New York
31. Nayfeh A.H., and Mook D.T. Nonlinear Oscillations (1979), Wiley, New York
32. Nayfeh A.H., and Balachandran B. Applied Nonlinear Dynamics: analytical computational and Experimental Methods (1995), Wiley-Interscience, New York