Dynamic stability and sensitivity to geometric imperfections of strongly compressed circular cylindrical shells under dynamic axial loads

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 8, 2009, Pages 3449-3462

  Pellicano, Francesco ^a  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

Author keywords

Buckling; Circular cylindrical shells; Dynamics; Stability

Indexed keywords

AXIAL LOADS; CYLINDERS (SHAPES); EQUATIONS OF MOTION; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SHELLS (STRUCTURES);

CIRCULAR CYLINDRICAL SHELLS; COMBINED EFFECT; DIRECT-NUMERICAL-SIMULATION; DYNAMIC SENSITIVITY; DYNAMICS STABILITY; FINITE AMPLITUDE; GEOMETRIC IMPERFECTION; KOITER'S THEORY; LAGRANGES EQUATIONS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS;

STABILITY;

EID: 60849129097     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.01.018     Document Type: Article

References (40)

1. Babcock C.D. Shell stability. J Appl Mech 50 (1983) 935-940
2. Calladine C.R. Understanding imperfection-sensitivity in the buckling of thin-walled shells. Thin-Walled Struct 23 (1995) 215-235
3. Teng J.G. Buckling of thin shells: recent advances and trends. Appl Mech Rev 49 4 (1996) 263-274
4. 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. Appl Mech Rev 56 (2003) 349-381
5. Amabili M. Nonlinear vibrations and stability of shells and plates (2008), Cambridge University Press, Cambridge
6. Kubenko V.D., and Koval'chuk P.S. Nonlinear problems of the vibration of thin shells (review). Int Appl Mech 34 (1998) 703-728
7. Babich D.V., and Khoroshun L.P. Stability and natural vibrations of shells with variable geometric and mechanical parameters. Int Appl Mech 37 7 (2001) 837-869
8. Kubenko V.D., and Koval'chuk P.S. Influence of initial geometric imperfections on the vibrations and dynamic stability of elastic shells. Int Appl Mech 40 8 (2004) 847-877
9. Yamaki N. Elastic stability of circular cylindrical shells (1984), North-Holland, Amsterdam
10. Von Kármán T., and Tsien H.S. The buckling of thin cylindrical shells under axial compression. J. Aeronaut Sci 8 8 (1941) 303-312
11. Evensen DA. Nonlinear flexural vibrations of thin-walled circular cylinders. NASA TN D-4090. Washington (DC): Government Printing Office; 1967.
12. Yao J.C. Dynamic stability of cylindrical shells under static and periodic axial and radial load. AIAA J 1 6 (1963) 457-468
13. Nagai K., and Yamaki N. Dynamic stability of circular cylindrical shells under periodic compressive forces. J Sound Vibr 59 3 (1978) 425-441
14. Pellicano F., and Amabili M. Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads. Int J Solids Struct 40 (2003) 3229-3251
15. Gonçalves P.B., and Del Prado Z.J.G.N. Nonlinear oscillations and stability of parametrically excited cylindrical shells. Meccanica 37 (2002) 569-597
16. Popov A.A. Parametric resonance in cylindrical shells: a case study in the nonlinear vibration of structural shells. Eng Struct 25 (2003) 789-799
17. Jansen E. Dynamic stability problems of anisotropic cylindrical shells via a simplified analysis. Nonlinear Dynam 39 (2005) 349-367
18. Catellani G., Pellicano F., Dall'Asta D., and Amabili M. Parametric instability of a circular cylindrical shell with geometric imperfections. Comput Struct 82 (2004) 2635-2645
19. Gonçalves P.B., and Batista R.C. Non-linear vibration analysis of fluid-filled cylindrical shells. J Sound Vibr 127 (1988) 133-143
20. Popov AA., Thompson J.M.T., and McRobie F.A. Low dimensional models of shell vibrations. Parametrically excited vibrations of cylindrical shells. J Sound Vibr 209 (1998) 163-186
21. Vijayaraghavan A., and Evan-Iwanowski R.M. Parametric instability of circular cylindrical shells. J Appl Mech 34 (1967) 985-990
22. Bondarenko A.A., and Galaka P.I. Parametric instability of glass-plastic cylindrical shells. Sov Appl Mech 13 (1977) 411-414
23. Pellicano F. Experimental analysis of seismically excited circular cylindrical shells. In: Proceedings of ENOC-2005, Fifth EUROMECH nonlinear dynamics conference, Eindohven, The Netherlands, August 7-12; 2005.
24. Pellicano F. Vibrations of circular cylindrical shells under seismic excitation. In: Proceedings of the 7th international symposium on vibrations of continuous systems, Zakopane, Poland, July 19-24; 2009.
25. Pellicano F., and Amabili M. Dynamic instability and chaos of empty and fluid-filled circular cylindrical shells under periodic axial loads. J. Sound Vibr 293 1-2 (2006) 227-252 10.1016/j.jsv.2005.09.032
26. Avramov KV, Pellicano F. (k{cyrillic}. B. Av{cyrillic}pam{cyrillic}ov{cyrillic}, Φ.P{cyrillic}el{cyrillic}l{cyrillic}i{cyrillic}k{cyrillic}an{cyrillic}o). Dynamical instability of cylindrical shell with big mass at the end (D{cyrillic}i{cyrillic}n{cyrillic}am{cyrillic}i{cyrillic}kh{cyrillic}eck{cyrillic}aya{cyrillic} n{cyrillic}eyct{cyrillic}oi{cyrillic, short}kh{cyrillic}i{cyrillic}v{cyrillic}oct{cyrillic}{cyrillic small soft sign} ts{cyrillic}i{cyrillic}l{cyrillic}i{cyrillic}d{cyrillic}pi{cyrillic}kh{cyrillic}eck{cyrillic}oi{cyrillic, short} ob{cyrillic}ol{cyrillic}okh{cyrillic}k{cyrillic}i{cyrillic} c d{cyrillic}i{cyrillic}ck{cyrillic}om{cyrillic} n{cyrillic}a k{cyrillic}on{cyrillic}ts{cyrillic}e). Rep Natl Acad Sci Ukraine 2006;5:41-6 [in Russian].
27. Pellicano F., and Avramov K.V. Linear and nonlinear dynamics of a circular cylindrical shell connected to a rigid disk. Commun Nonlinear Sci Numer Simulat 12 4 (2007) 496-518
28. Kamat S., Ganapathi M., and Patel B.P. Analysis of parametrically excited laminated composite joined conical-cylindrical shells. Comput Struct 79 (2001) 65-76
29. Ruzzene M. Dynamic buckling of periodically stiffened shells: application to supercavitating vehicles. Int J Solids Struct 41 (2004) 1039-1059
30. Gonçalves P.B., and Del Prado Z.J.G.N. Low-dimensional Galerkin models for nonlinear vibration and instability analysis of cylindrical shells. Nonlinear Dynam 41 (2005) 129-145
31. Gonçalves P.B., da Silva F.M.A., and del Prado Z.J.G.N. Transient stability of empty and fluid-filled cylindrical shells. J Braz Soc Mech Sci Eng 28 3 (2006) 331-338
32. Gonçalves 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. Int J Non-Linear Mech 42 (2007) 58-70
33. Kounadis A.N. Recent advances on postbuckling analyses of thin-walled structures: beams, frames and cylindrical shells. J Constr Steel Res 62 (2006) 1101-1115
34. Popov A.A. Auto-parametric resonance in thin cylindrical shells using the slow fluctuation method. Thin-Walled Struct 42 (2004) 475-495
35. Darabi M., Darvizeh M., and Darvizeh A. Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading. Compos Struct 83 (2008) 201-211
36. Leissa AW. Vibration of shells, NASA SP-288. Washington (DC): Government Printing Office. Now available from The Acoustical Society of America; 1993.
37. Amabili M., Pellicano F., and Païdoussis M.P. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid, Part II: large-amplitude vibrations without flow. J Sound Vibr 228 (1999) 1103-1124
38. Amabili M., Pellicano F., and Païdoussis M.P. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: truncation effect without flow and experiments. J Sound Vibr 237 (2000) 617-640
39. Soedel W. Vibrations of shells and plates (1993), Marcel Dekker, New York
40. Doedel E.J., Champneys A.R., Fairgrieve T.F., Kuznetsov Y.A., Sandstede B., and Wang X. AUTO 97: Continuation and bifurcation software for ordinary differential equations (with HomCont) (1998), Concordia University, Montreal (Canada)