Nonlinear modes and traveling waves of parametrically excited cylindrical shells

Journal of Sound and Vibration

Volumn 329, Issue 11, 2010, Pages 2193-2204

  Kochurov, R ^b   Avramov, K V ^a,b  

^a Institute of Mechanical Engineering Problems   (Ukraine)

^b NATIONAL TECHNICAL UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDRICAL SHELL; HARMONIC BALANCE METHOD; MULTI DEGREE-OF-FREEDOM; NON-LINEAR VIBRATIONS; NONLINEAR MODE; PARAMETRICALLY EXCITED SYSTEMS; STANDING WAVE; TRAVELING WAVE;

DYNAMICAL SYSTEMS; NONLINEAR EQUATIONS; OSCILLATORS (ELECTRONIC); PLATES (STRUCTURAL COMPONENTS);

SHELLS (STRUCTURES);

EID: 75749126462     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.12.018     Document Type: Article

References (30)

1. Yao J.C. Dynamic stability of cylindrical shells under static and periodic axial and radial load. AIAA Journals 1 (1963) 457-468
2. Bolotin V.V. The Dynamic Stability of Elastic Systems (1964), Holden Day, San Francisco
3. Vijayaraghavan A., and Evan-Iwanowski R.M. Parametric instability of circular cylindrical shells. Transactions of the ASME, Journal of Applied Mechanics E 34 (1967) 985-990
4. Vol'mir A.S. Nonlinear Dynamics of Plates and Shells (1972), Nauka, Moscow (in Russian)
5. C.S. Hsu, On parametric excitation and snap-through stability problems of shells. In: S. Fung (Ed.), Thin Shell Structures. Englewood Cliffs, 1974, pp. 103-131.
6. Koval L.R. Effect of longitudinal resonance on the parametric stability of an axially excited cylindrical shell. Journal of the Acoustic Society of America 55 (1974) 91-97
7. Nagai K., and Yamaki N. Dynamic stability of circular cylindrical shells under periodic compressive forces. Journal of Sound and Vibration 58 (1978) 425-441
8. Koval'chuk P.S., and Krasnopol'skaya T.S. Resonance phenomena in nonlinear vibrations of cylindrical shells with initial imperfections. Soviet Applied Mechanics 15 (1979) 100-107
9. Fujita K. A seismic response analysis of a cylindrical liquid storage tank. Bulletin of the Japan Society for Mechanical Engineering 24 (1981) 1029-1036
10. Bondarenko A.A., and Telalov A.I. Dynamics instability of cylindrical shells under longitudinal kinematics perturbation. Soviet Applied Mechanics 18 (1982) 57-61
11. Kubenko V.D., Koval'chuk P.S., and Krasnopol'skaya T.S. Nonlinear Interaction of Cylindrical Shells (1984), Naukova Dumka, Kiev (in Russian)
12. Ng T.Y., Lam K.Y., and Reddy J.N. Parametric resonance of a rotating cylindrical shell subjected to periodic axial loads. Journal of Sound and Vibration 214 (1998) 513-529
13. Ng T.Y., Lam K.Y., Liew K.M., and Reddy J.N. Dynamic stability analysis of functionally graded cylindrical shell under periodic axial loading. International Journal of Solids and Structures 38 (2001) 1295-1305
14. F. Pellicano, M. Amabili, M.P. Paidousis, Stability of empty and fluid-filled circular cylindrical shells subjected to dynamics axial loads. In: Pellicano, Mikhlin, Zolotarev (Eds.), Nonlinear Dynamics of Shells with Fluid-Structure Interaction. Institute of Thermomechanics ASCR, 2002, pp. 169-178.
15. Pellicano F., and Amabili M. Stability and vibrations of empty and fluid-filled circular cylindrical shells under static and periodic axial loads. International Journal of Solids and Structures 40 (2003) 3229-3251
16. Pellicano F., and Avramov K.V. Linear and nonlinear dynamics of a circular cylindrical shell connected to a rigid disk. Communications in Nonlinear Science and Numerical Simulations 12 (2007) 496-518
17. F. Pellicano, Vibrations of circular cylindrical shells under seismic excitation. In: Proceedings of the Seventh International Symposium on Vibrations of Continuous Systems, Zakopane, Poland, July 19-24, 2009.
18. Pellicano F. Dynamic stability and sensitivity to geometric imperfections of strongly compressed circular cylindrical shells under dynamic axial loads. Communications in Nonlinear Science and Numerical Simulations 14 (2009) 3449-3462
19. Pellicano F., and Amabili M. Dynamic instability and chaos of empty and fluid-filled circular cylindrical shells under the periodic axial loads. Journal of Sound and Vibration 293 (2006) 227-252
20. Kamat S., Ganapathi M., and Patel B.P. Analysis of parametrically excited laminated composite joined conical-cylindrical shells. Computers and Structures 79 (2001) 65-76
21. Goncalves P.B., and Del Prado Z.J.G.N. Low-dimensional Galerkin models for nonlinear vibration and instability analysis of cylindrical shells. Nonlinear Dynamics 41 (2005) 129-145
22. Goncalves P.B., da Silva F.M.A., and Del Prado Z.J.G.N. Transient and steady state stability of cylindrical shells under harmonic axial loads. International Journal of Non-Linear Mechanics 42 (2007) 58-70
23. Avramov K.V., Mikhlin Yu.V., and Kurilov E. Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells. Nonlinear Dynamics 47 (2006) 331-352
24. Mallon N.J., Fey R.H.B., and Nijmeijer H. Dynamic stability of a thin cylindrical shell with top mass subjected to harmonic base-acceleration. International Journal of Solids and Structures 45 (2008) 1567-1613
25. Goncalves P.B., Silva F.M.A., and Prado Z.D. Global stability analysis of parametrically excited cylindrical shells through the evolution of basin boundaries. Nonlinear Dynamics 50 (2007) 121-145
26. Amabili M., and Païdoussis M.P. Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction. Applied Mechanical Reviewer 56 (2003) 443-474
27. A.W. Leissa, Vibrations of Shells. NASA SP-288. Government Printing Office Washington, DC, 1993.
28. Avramov K.V. Nonlinear modes of parametric vibrations and their applications to beams dynamics. Journal of Sound and Vibrations 322 (2009) 476-489
29. Avamov K.V. Analysis of forced vibrations by nonlinear modes. Nonlinear dynamics 53 (2008) 117-127
30. Parker T.S., and Chua L.O. Practical Numerical Algorithms for Chaotic Systems (1980), Springer, New York