Parametric instability of a circular cylindrical shell with geometric imperfections

Computers and Structures

Volumn 82, Issue 31-32, 2004, Pages 2635-2645

  Catellani, G ^a   Pellicano, F ^a   Dall'Asta, D ^a   Amabili, M ^b  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Circular cylindrical shell; Nonlinear dynamics; Parametric resonance; Stability; Vibration

Indexed keywords

BUCKLING; COMPUTATIONAL GEOMETRY; CYLINDERS (SHAPES); DYNAMIC LOADS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; RESONANCE; TREES (MATHEMATICS); VIBRATION CONTROL;

CIRCULAR CYLINDRICAL SHELLS; GEOMETRIC IMPERFECTIONS; PARAMETRIC INSTABILITY; PARAMETRIC RESONANCE;

SHELLS (STRUCTURES);

EID: 10044223045     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.07.006     Document Type: Article

References (28)

1. Von Kármán T, Tsien HS. The buckling of thin cylindrical shells under axial compression. J Aeronaut Sci 1941;8(8):303-12.
2. Vijayarachavan A, Evan-Iwanowski RM. Parametric instability of circular cylindrical shells. J Appl Mech 1967:34:985-90.
3. Koval LR. Effect of longitudinal resonance on the parametric stability of an axially excited cylindrical shell. J Acous Soc Am 1974;55(1):91-7.
4. Hsu CS. On parametric excitation and snap-through stability problems of shells. In: Fung YC, Sechler EE, editors. Thin-shell structures; Theory experiments and design. Englewood Cliffs, NJ: Prentice-Hall; 1974.
5. Nagai K, Yamaki N. Dynamic stability of circular cylindrical shells under periodic compressive forces. J Sound Vib 1978;58(3):425-41.
6. Popov AA, Thompson JMT, McRobie FA. Low dimensional models of shell vibrations. Parametrically excited vibrations of cylindrical shells. J Sound Vib 1998;209: 163-86.
7. Gonçalves PB, Del Prado ZJGN. The role of modal coupling on the nonlinear response of cylindrical shells subjected to dynamic axial loads. In: Proc of the Symp on Nonlinear Dynamics of Shells and Plates. ASME Int Mech Eng Congr and Exp, Orlando, USA, 2000, AMD 238. p. 105-16.
8. Gonçalves PB, Del Prado ZJGN. Nonlinear oscillations and stability of parametrically excited cylindrical shells. Meccanica 2002;37:569-97.
9. Roth RS, Klosner JM. Nonlinear response of cylindrical shells subjected to dynamic axial loads. AIAA J 1964:2:1788-94.
10. Tamura YS, Babcok CD. Dynamic stability of cylindrical shells under step loading. J Appl Mech 1975;42:190-4.
11. Koval'chuk PS, Krasnopol'skaya TS. Resonance phenomena in nonlinear vibrations of cylindrical shells with initial imperfections. Sov Appl Mech 1980;15:867-72.
12. Yamaki N. Elastic stability of circular cylindrical shells. Amsterdam: North-Holland; 1984.
13. Pellicano F, Amabili M. Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads. Int J Solids Struct 2003;40:3229-51.
14. Amabili M, Païdoussis MP. Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction. Appl Mech Rev 2003;56:349-81.
15. Pellicano F, Mikhlin Y, Zolotarcv I. Nonlinear dynamics of shells with fluid-structure interaction. Prague: Institute of Thermomechanics AS CR; 2002.
16. Doedel EJ, Champneys AR, Fairgrieve TF, Kuznetsov YA, Sandstede B, Wang X. AUTO 97: Continuation and bifurcation software for ordinary differential equations (with HomCont). Montreal, Canada: Concordia University; 1998.
17. Amabili M. Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections. J Sound Vib 2003;262:921-75.
18. Amabili M. Comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach. J Sound Vib 2003;264:1091-125.
19. Chu H-N. Influence of large amplitudes on flexural vibrations of a thin circular cylindrical shell. J Aerospace Sci 1961;28:602-9.
20. Evensen DA. Nonlinear flexural vibrations of thin-walled circular cylinders. NASA TN D-4090, Washington DC: Government Printing Office; 1967.
21. Chen JC, Babcock CD. Nonlinear vibrations of cylindrical shells. AIAA J 1975;13:868-76.
22. Amabili M, Pellicano F, Païdoussis MP. Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid. J Fluids Struct 1998;12:883-918.
23. Amabili M, Pellicano F, Païdoussis MP. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: stability. J Sound Vib 1999:225:655-99.
24. Pellicano F, Amabili M, Paidoussïs MP. Effect of the geometry on the non-linear vibration of the circular cylindrical shells. Int J Non-linear Mech 2002;37: 1181-98.
25. Amabili M, Pellicano F, Païdoussis MP. Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: Truncation effect without flow and experiments. J Sound Vib 2000;237(4):617-40.
26. Soedel W. Vibrations of shells and plates. New York: Marcel Dekker Inc; 1993.
27. Leissa AW. Vibration of shells. NASA SP-288, Washington, DC; 1973.
28. Nayfeh AH, Balachandran B. Applied nonlinear dynamics: analytical, computational and experimental methods. New York: J Wiley; 1995.