Nonlinear forced vibrations of a cylindrical shell with two internal resonances

International Applied Mechanics

Volumn 42, Issue 2, 2006, Pages 169-175

  Avramov, K V ^a  

^a NATIONAL TECHNICAL UNIVERSITY   (Ukraine)

Author keywords

Cylindrical shell; Stability of waves; Standing and traveling waves; Two internal resonances

Indexed keywords

DIFFERENTIAL EQUATIONS; MODULATION; RESONANCE; SHELLS (STRUCTURES); SYSTEM STABILITY;

CYLINDRICAL SHELLS; STABILITY OF WAVES; STANDING AND TRAVELING WAVES; TWO INTERNAL RESONANCES;

VIBRATIONS (MECHANICAL);

EID: 33745222313     PISSN: 10637095     EISSN: 15738582     Source Type: Journal    
DOI: 10.1007/s10778-006-0072-5     Document Type: Article

References (17)

1. K. V. Avramov, "Bifurcation analysis of a vibropercussion system by the method of amplitude surfaces," Int. Appl. Mech., 38, No. 9, 1151-1156 (2002).
2. K. V. Avramov, "Bifurcations at combination resonance and quasiperiodic vibrations of flexible beams," Int. Appl. Mech., 39, No. 8, 976-982 (2003).
3. A. S. Belomyttsev and V. N. Karaban, "An algorithm of solving a nonlinear boundary-value problem for ordinary differential equations in the multiplicity domain," Zh. Vych. Mat. Mat. Fiz., 26, No. 7, 1099-1102 (1986).
4. A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).
5. R. F. Ganiev and P. S. Koval'chuk, Dynamics of Systems of Rigid and Elastic Bodies [in Russian], Mashinostroenie, Moscow (1980).
6. 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).
7. V. D. Kubenko, P. S. Koval'chuk, and N. P. Podchasov, Nonlinear Vibrations of Cylindrical Shells [in Russian], Vyshcha Shkola, Kiev (1989).
8. A. H. Nayfeh, Perturbation Methods, Wiley, New York (1973).
9. Y. C. Fung and E. E. Sechler (eds.), Thin-Shell Structures: Theory, Experiment, and Design, Prentice-Hall, Englewood Cliffs, NJ (1974).
10. V. D. Kubenko and P. S. Koval'chuk, "Nonlinear problems of the vibration of thin shells (review)," Int. Appl. Mech., 34, No. 8, 703-728 (1998).
11. A. W. Leissa, Vibrations of Shells, NASA SP- 288 (1973).
12. F. Moussaoui and R. Benamar, "Non-linear vibrations of shell-type structures: a review with bibliography," J. Sound Vibr., 255, No. 1, 161-184 (2002).
13. F. Pellicano, M. Amabili, and M. P. Paidoussis, "Effect of the geometry on the non-linear vibration of circular cylindrical shells," Int. J. Non-Linear Mech., 37, 1181-1198 (2002).
14. K. V. Avramov and Yu. V. Mikhlin, "Damping of free elastic vibrations in linear systems," Int. Appl. Mech., 41, No. 2, 203-209 (2005).
15. P. S. Koval'chuk, "Nonlinear vibrations of a cylindrical shell containing a flowing fluid," Int. Appl. Mech., 41, No. 4, 405-412 (2005).
16. P. S. Koval'chuk and L. A. Kruk, "The problem of forced nonlinear vibrations of cylindrical shells completely filled with liquid," Int. Appl. Mech., 41, No. 2, 154-160 (2005).
17. Yu. V. Mikhlin and S. N. Reshetnikova, "Dynamic analysis of a two-mass system with essentially nonlinear vibration damping," Int. Appl. Mech., 41, No. 1, 77-84 (2005).