Nonlinear vibrations of a cylindrical shell containing a flowing fluid

International Applied Mechanics

Volumn 41, Issue 4, 2005, Pages 405-412

  Koval'chuk, P S ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Amplitude frequency characteristic; Critical velocity; Cylindrical shell; Nonlinear vibrations; Perfect incompressible fluid; Single frequency method; Stability of vibrations

Indexed keywords

AMPLITUDE-FREQUENCY CHARACTERISTICS; CRITICAL VELOCITY; CYLINDRICAL SHELL; NONLINEAR VIBRATIONS; PERFECT INCOMPRESSIBLE FLUID; SINGLE-FREQUENCY METHOD; STABILITY OF VIBRATIONS;

BUCKLING; INCOMPRESSIBLE FLOW; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; STRUCTURAL LOADS; VELOCITY; VIBRATIONS (MECHANICAL);

SHELLS (STRUCTURES);

EID: 23244462865     PISSN: 10637095     EISSN: 15738582     Source Type: Journal    
DOI: 10.1007/s10778-005-0103-7     Document Type: Article

References (16)

1. N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York (1962).
2. V. V. Bolotin, Nonconservative Problems in the Theory of Elastic Stability [in Russian], Fizmatgiz, Moscow (1961).
3. A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).
4. A. S. Vol'mir, Shells in a Flow of Fluid and Gas: Hydroelastic Problems [in Russian], Nauka, Moscow (1979).
5. R. F. Ganiev and P. S. Koval'chuk, Dynamics of Systems of Rigid and Elastic Bodies [in Russian], Mashinostroenie, Moscow (1980).
6. J. Gorachek and I. A. Zolotarev, "Natural vibrations and stability of cylindrical shells interacting with fluid flow," in: A. N. Guz (ed.), S. Markus, L. Pust, et al., Dynamics of Bodies Interacting with a Medium [in Russian], Naukova Dumka, Kiev (1991), pp. 215-272.
7. M. A. Igal'mov, Vibrations of Elastic Shells Containing Fluid and Gas [in Russian], Nauka, Moscow (1969).
8. V. D. Kubenko, P. S. Koval'chuk, and T. S. Krasnopol'skaya, Nonlinear Interaction of Flexural Vibration Modes of Cylindrical Shells [in Russian], Naukova Dumka, Kiev (1984).
9. V. D. Kubenko, P. S. Koval'chuk, and N. P. Podchasov, Nonlinear Vibrations of Cylindrical Shells [in Russian], Vyshcha Shkola, Kiev (1989).
10. N. A. Kil'chevskii, Mechanics of Shell-Fluid-Heated-Gas Systems [in Russian], Naukova Dumka, Kiev (1970).
11. M. Amabili, F. Pellicano, and M. P. Paidoussis, "Nonlinear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: Stability," J. Sound Vibr., 225, No. 4, 655-699 (1999).
12. M. Amabili, F. Pellicano, and M. P. Paidoussis, "Nonlinear dynamics and stability of circular cylindrical shells containing flowing fluid. Part IV: Large amplitude vibrations with flow," J. Sound Vibr., 237, No. 4, 641-666 (2000).
13. P. S. Koval'chuk and V. G. Filin, "Circumferential traveling waves in filled cylindrical shells," Int. Appl. Mech., 39, No. 2, 192-196 (2003).
14. P. S. Koval'chuk, N. P. Podchasov, and V. V. Kholopova, "Periodic modes in the forced nonlinear vibrations of filled cylindrical shells with an initial deflection," Int. Appl. Mech., 38, No. 6, 716-722 (2002).
15. V. D. Kubenko and P. S. Koval'chuk, "Influence of initial geometric imperfections on the vibrations and dynamic stability of elastic shells," Int. Appl. Mech., 40, No. 8, 847-877 (2004).
16. V. D. Kubenko, P. S. Koval'chuk, and L. A. Kruk, "On multimode nonlinear vibrations of filled cylindrical shells," Int. Appl. Mech., 39, No. 1, 85-92 (2003).