Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: Stability

Journal of Sound and Vibration

Volumn 225, Issue 4, 1999, Pages 655-699

  Amabili, M ^a   Pellicano, F ^b   Paidoussis M P ^c  

^a UNIVERSITY OF PARMA   (Italy)

^b UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^c MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000893170     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2255     Document Type: Article

References (32)

1. M. P. PAÏDOUSSIS and J.-P. DENISE 1972 Journal of Sound and Vibration 20, 9-26. Flutter of thin cylindrical shells conveying fluid.
2. D. S. WEAVER and T. E. UNNY 1973 Journal of Applied Mechanics 40, 48-52. On the dynamic stability of fluid-conveying pipes.
3. Y. MATSUZAKI and Y. C. FUNG 1977 Journal of Sound and Vibration 54, 317-330. Unsteady fluid dynamic forces on a simply-supported circular cylinder of finite length conveying a flow, with applications to stability analysis.
4. M. P. PAÏDOUSSIS, S. P. CHAN and A. K. MISRA 1984 Journal of Sound and Vibration 97, 201-235. Dynamics and stability of coaxial cylindrical shells containing flowing fluid.
5. M. P. PAÏDOUSSIS, A. K. MISRA and S. P. CHAN 1985 Journal of Applied Mechanics 52, 389-396. Dynamics and stability of coaxial cylindrical shells conveying viscous fluid.
6. E. H. DOWELL 1966 AIAA Journal 4, 1267-1275. Nonlinear oscillations of a fluttering plate.
7. E. H. DOWELL 1967 AIAA Journal 5, 1856-1862. Nonlinear oscillations of a fluttering plate; II.
8. E. H. DOWELL 1969 AIAA Journal 7, 424-431. Nonlinear flutter of curved plates.
9. E. H. DOWELL 1970 AIAA Journal 8, 259-261. Nonlinear flutter of curved plates, II.
10. L. MORINO, C. C. Kuo and J. DUGUNDJI 1972 AIAA Journal 10, 1479-1484. Perturbation and harmonic balance methods for nonlinear panel flutter.
11. M. P. PAÏDOUSSIS, 1998 Fluid-Structure Interactions: Slender Structures and Axial Flow, Vol. 1. London, UK: Academic Press.
12. M. D. OLSON and Y. C. FUNG 1967 AIAA Journal 5, 1849-1856. Comparing theory and experiment for the supersonic flutter of circular cylindrical shells.
13. D. A. EVENSEN and M. D. OLSON 1967 NASA TN D-4265. Nonlinear flutter of a circular cylindrical shell in supersonic flow.
14. D. A. EVENSEN and M. D. OLSON 1968 AIAA Journal 6, 1522-1527. Circumferentially travelling wave flutter of a circular cylindrical shell.
15. D. A. EVENSEN 1967 NASA TN D-4090. Nonlinear flexural vibrations of thin-walled circular cylinders.
16. J. H. GINSBERG 1973 Journal of Applied Mechanics 40, 471-477. Large amplitude forced vibrations of simply supported thin cylindrical shells.
17. J. C. CHEN and C. D. BABCOCK 1975 AIAA Journal 13, 868-876. Nonlinear vibration of cylindrical shells.
18. M. AMABILI, F. PELLICANO and M. P. PAÏDOUSSIS 1998 Journal of Fluids and Structures 12, 883-918. Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid.
19. U. OLSSON 1978 AIAA Journal 16, 360-362. Supersonic flutter of heated circular cylindrical shells with temperature-dependent material properties.
20. A. A. LAKIS and A. LAVEAU 1991 International Journal of Solids and Structures 28, 1079-1094. Non-linear dynamic analysis of anisotropic cylindrical shells containing a flowing fluid.
21. A. SELMANE and A. A. LAKIS 1997 Journal of Sound and Vibration 202, 67-93. Non-linear dynamic analysis of orthotropic open cylindrical shells subjected to a flowing fluid.
22. P. B. GONÇALVES and R. C. BATISTA 1988 Journal of Sound and Vibration 127, 133-143. Non-linear vibration analysis of fluid-filled cylindrical shells.
23. M. GANAPATHI and T. K. VARADAN 1996 Journal of Sound and Vibration 192, 1-14. Large amplitude vibrations of circular cylindrical shells.
24. E. H. DOWELL and C. S. VENTRES 1968 International Journal of Solids and Structures 4, 975-991. Modal equations for the nonlinear flexural vibrations of a cylindrical shell.
25. S. ATLURI 1972 International Journal of Solids and Structures 8, 549-569. A perturbation analysis of non-linear free flexural vibrations of a circular cylindrical shell.
26. J. H. GINSBERG 1975 Journal of Sound and Vibration 40, 359-379. Multi-dimensional non-linear acoustic wave propagation. Part II: the non-linear interaction of an acoustic fluid and plate under harmonic excitation.
27. D. G. RANDALL 1958 Ames Research Center (NASA) Report, ARC R. and M. No. 3067. Supersonic flow past quasi-cylindrical bodies of almost circular cross-section.
28. F. I. N. NIORDSON 1953 Transactions of the Royal Institute of Technology, Stockholm, Sweden, No. 73. Vibrations of cylindrical tube containing flowing fluid.
29. S. WOLFRAM 1996 The Mathematica Book. Cambridge, UK: Cambridge University Press, third edition.
30. P. J. HOLMES 1978 Journal of Applied Mechanics 45, 619-622. Pipes supported at both ends cannot flutter.
31. M. AMABILI 1996 Journal of Sound and Vibration 191, 757-780. Free vibration of partially filled, horizontal cylindrical shells.
32. E. J. DOEDEL and J. P. KERNÉVES 1986 Applied Mathematics Report, California Institute of Technology, Pasadena, California, U.S.A. Auto: software for continuation and bifurcation problems in ordinary differential equations, (obtainable from doedel@cs.concordia.ca).