Dynamic stability problems of anisotropic cylindrical shells via a simplified analysis

Nonlinear Dynamics

Volumn 39, Issue 4, 2005, Pages 349-367

  Jansen, Eelco L ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Cylindrical shell; Dynamic buckling; Dynamic stability; Parametric excitation

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COUPLINGS; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS;

CYLINDRICAL SHELLS; DYNAMIC BUCKLING; PARAMETRIC EXCITATION; STABILITY ANALYSIS;

DYNAMICS;

EID: 15544389114     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-4343-1     Document Type: Article

References (35)

1. G. Herrmann (ed.), Dynamic Stability of Structures, Pergamon Press, Oxford, 1967.
2. Bolotin, V. V., The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, California, 1963, translated by V.I. Weingarten et al.
3. Evan-Iwanowski, R., 'On the parametric resonance of structures', Applied Mechanics Reviews 18(9), 1965, 699-702.
4. Hsu, C., 'On parametric excitation and snap-through stability problems of shells', in Thin-Shell Structures - Theory, Experiment and Design, Y. C. Fung and E. E. Sechler (eds.), Prentice-Hall, Englewood Cliffs, New Jersey, 1974, pp. 103-131.
5. Yao, J. C., 'Dynamic stability of cylindrical shells under static and periodic axial and radial loads', AIAA Journal 1(6), 1963, 1391-1396.
6. Yao, J. C., 'Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads', ASME Journal of Applied Mechanics 32(1), 1965, 109-115.
7. Vijayaraghavan, A. and Evan-Iwanowski, R. M., 'Parametric instability of circular cylindrical shells', ASME Journal of Applied Mechanics 34, 1967, 985-990.
8. Nagai, K. and Yamaki, N., 'Dynamic stability of circular cylindrical shells under periodic compressive forces', Journal of Sound and Vibration 58(3), 1978, 425-441.
9. Argento, A., 'Dynamic stability of a composite circular cylindrical shell subjected to combined axial and torsional loading', Journal of Composite Materials 27, 1993, 1722-1738.
10. Argento, A. and Scott, R., 'Dynamic instability of layered anisotropic circular cylindrical shells: Part I. Theoretical developments', Journal of Sound and Vibration 162, 1993, 311-322.
11. Argento, A. and Scott, R., 'Dynamic instability of layered anisotropic circular cylindrical shells: Part II. Numerical results', Journal of Sound and Vibration 162, 1993, 323-332.
12. Lindberg, H. E. and Florence, A. L., Dynamic Pulse Buckling, Martinus Nijhoff, Dordrecht, The Netherlands, 1987.
13. Simitses, G. J., Dynamic Stability of Suddenly Loaded Structures, Springer, New York, 1990.
14. Kounadis, A., 'Nonlinear dynamic buckling of discrete dissipative or nondissipative systems under step loading', AIAA Journal 29, 1991, 280-289.
15. Budiansky, B. and Roth, R. S., 'Axisymmetric dynamic buckling of clamped shallow spherical shells', NASA TN D-1510, 1962.
16. Roth, R. and Klosner, J., 'Nonlinear response of cylindrical shells subjected to dynamic axial loads', AIAA Journal 2, 1964, 1788-1794.
17. Tamura, Y. S. and Babcock, C. D., 'Dynamic stability of cylindrical shells under step loading', ASME Journal of Applied Mechanics 42(1), 1975, 190-194.
18. Schokker, A., Sridharan, S., and Kasagi, A., 'Dynamic buckling of composite shells', Computers & Structures 59(1), 1996, 43-53.
19. Saigal, S., Yang, T., and Kapania, R., 'Dynamic buckling of imperfection sensitive shell structures', Journal of Aircraft 24, 1987, 718-724.
20. Ganapathi, M. and Varadan, T. K., 'Large amplitude vibrations of circular cylindrical shells', Journal of Sound and Vibration 192(1), 1996, 1-14.
21. Tabiei, A., Tanov, R., and Simitses, G., 'Numerical simulation of cylindrical laminated shells under impulsive lateral pressure', AIAA Journal 37(5), 1999, 629-633.
22. Ganapathi, M., Patel, B., and Sambandam, C., 'Parametric dynamic instability analysis of laminated composite conical shells', Journal of Reinforced Plastics and Composites 18(14), 1999, 1336-1346.
23. Popov, A., Thompson, J., and McRobie, F., 'Low dimensional models of shell vibrations', Journal of Sound and Vibration 209, 1998, 163-186.
24. Gonçalves, P. B. and Del Prado, Z. J. G. N., 'Nonlinear oscillations and stability of parametrically excited cylindrical shells', Meccanica 37, 2002, 569-597.
25. Pellicano, F., Amabili, M., and Païdoussis, M. P., 'Effect of the geometry on the non-linear vibration of circular cylindrical shells', International Journal of Non-Linear Mechanics 37(7), 2002, 1181-1198.
26. Pellicano, F. and Amabili, M., 'Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads', Journal of Solids and Structures 40, 2003, 3229-3251.
27. Amabili, M. and Païdoussis, M., 'Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction', Applied Mechanics Reviews 56(4), 2003, 349-381.
28. Liu, D. K., 'Nonlinear Vibrations of Imperfect Thin-Walled Cylindrical Shells', Ph.D. Thesis, Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands, 1988.
29. Jansen, E. L., 'Non-stationary flexural vibration behaviour of a cylindrical shell', International Journal of Non-Linear Mechanics 37(4/5), 2002, 937-949.
30. Brush, B. O. and Almroth, D. O., Buckling of Bars, Plates and Shells, McGraw-Hill, New York, 1975.
31. Jansen, E. L., 'Nonlinear Vibrations of Anisotropic Cylindrical Shells', Ph.D. Thesis, Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands, 2001.
32. Khot, N. and Venkayya, V., 'Effect of fibre orientation on initial postbuckling behavior and imperfection sensitivity of composite cylindrical shell', Air Force Flight Dynamics Laboratory Technical Report-70-125, 1970.
33. Hearn, A. C., REDUCE User Manual, RAND, Santa Monica, California, 1993.
34. Booton, M., 'Buckling of Imperfect Anisotropic Cylinders under Combined Loading', UTIAS Report 203, Institute for Aerospace Studies, University of Toronto, 1976.
35. Bogdanovich, A., Non-Linear Dynamic Problems for Composite Cylindrical Shells, Elsevier, London, 1993.