The problem of forced nonlinear vibrations of cylindrical shells completely filled with liquid

International Applied Mechanics

Volumn 41, Issue 2, 2005, Pages 154-160

  Koval'chuk, P S ^a   Kruk, L A ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

Amplitude'frequency response; Cylindrical shell; Perfect incompressible liquid; Single mode deformation; Stability

Indexed keywords

AMPLITUDE FREQUENCY RESPONSE; CYLINDRICAL SHELLS; PERFECT INCOMPRESSIBLE LIQUIDS; SINGLE MODE DEFORMATION;

CYLINDERS (SHAPES); DEFORMATION; DYNAMICS; FORCE CONTROL; FREQUENCY RESPONSE; HARMONIC ANALYSIS; LIQUIDS; MATHEMATICAL MODELS; PROBLEM SOLVING; RESONANCE; SHELLS (STRUCTURES); STABILITY;

VIBRATIONS (MECHANICAL);

EID: 21544464805     PISSN: 10637095     EISSN: 15738582     Source Type: Journal    
DOI: 10.1007/s10778-005-0071-y     Document Type: Article

References (13)

1. N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York (1962).
2. A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).
3. A. S. Vol'mir, Shells in Liquid-Gas Flow: Hydroelastic Problems [in Russian], Nauka, Moscow (1979).
4. V. D. Kubenko, P. S. Koval'chuk, and N. P. Podchasov, Nonlinear Vibrations of Cylindrical Shells [in Russian], Vyshcha Shkola, Kiev (1989).
5. V. D. Kubenko, V. D. Lakiza, V. S. Pavlovskii, and N. A. Pelykh, Dynamic Behavior of Elastic Gas-Liquid Systems under Vibratory Actions [in Russian], Naukova Dumka, Kiev (1988).
6. M. Amabili, F. Pellicano, and A. F. Vakakis, "Nonlinear vibrations and multiple resonances of fluid-filled, circular shells. Part 1: Equations of motion and numerical results," J. Vibr. Acoust., 122, 346-354 (2000).
7. P. S. Koval'chuk and L. A. Kruk, "Nonlinear energy interchange between the natural modes of freely vibrating circular cylindrical shells filled with liquid," Int. Appl. Mech., 36, No. 1, 103-110 (2000).
8. P. S. Koval'chuk and L. A. Kruk, "Forced nonlinear vibrations of cylindrical shells filled with a liquid," Int. Appl. Mech., 38, No. 11, 1388-1393 (2002).
9. P. S. Koval'chuk and L. A. Kruk, "Chaotic modes of forced nonlinear vibrations of fluid-filled cylindrical shells," Int. Appl. Mech., 39, No. 12, 1452-1457 (2003).
10. 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).
11. V. D. Kubenko and P. S. Koval'chuk, "Nonlinear problems of the dynamics of elastic shells partially filled with a liquid," Int. Appl. Mech., 36, No. 4, 421-448 (2000).
12. 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).
13. V. D. Kubenko, P. S. Koval'chuk, and L. A. Kruk, "Nonlinear interaction of bending deformations of free-oscillating cylindrical shells," J. Sound Vibr., 265, No. 2, 245-268 (2003).