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Nonlinear Dynamics and Stability of Circular Cylindrical Shells

[+] Author Affiliations
F. Pellicano, G. Catellani

University of Modena and Reggio Emilia

M. Amabili

Università di Parma

Paper No. IMECE2004-60838, pp. 175-183; 9 pages
  • ASME 2004 International Mechanical Engineering Congress and Exposition
  • Applied Mechanics
  • Anaheim, California, USA, November 13 – 19, 2004
  • Conference Sponsors: Applied Mechanics Division
  • ISBN: 0-7918-4702-0 | eISBN: 0-7918-4178-2, 0-7918-4179-0, 0-7918-4180-4
  • Copyright © 2004 by ASME


The nonlinear dynamic response of an imperfect circular cylindrical shell under combined static and dynamic axial load is analyzed. A suitable expansion of the radial displacement, able to describe both buckling and dynamic behaviors is developed; the effect of geometric imperfections is accounted for. The response of the shell subjected to a sinusoidal axial excitation at its ends, giving rise to a parametric excitation, is considered. The effect of the imperfections on the critical value of the dynamic load, that causes the loss of stability of the system, is analyzed. Interesting nonlinear dynamic phenomena are observed: direct resonance with softening behavior and parametric instability with period doubling response.

Copyright © 2004 by ASME



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