Effect of geometry on the stability of cylindrical clamped shells subjected to internal fluid flow

  • Authors:

  • K. N. Karagiozis;M. P. Païdoussis;M. Amabili

  • Affiliations:

  • Department of Mechanical Engineering, McGill University, Montreal, Québec, Canada;Department of Mechanical Engineering, McGill University, Montreal, Québec, Canada;Dipartimento di Ingegneria Industriale, Universití di Parma, Parma, Italy

  • Venue:
  • Computers and Structures
  • Year:
  • 2007

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Abstract

In this paper, the nonlinear stability of circular cylindrical shells subjected to internal incompressible flow is studied by means of the Donnell nonlinear shallow shell equations and a linear fluid-structure interaction model. Specifically, the effect of varying the thickness-to-radius (h/R) and length-to-radius (L/R) ratios is investigated. In general, the system loses stability by a subcritical pitchfork bifurcation, leading to a stable divergence of increasing amplitude with flow; no oscillatory solutions are found. Increasing the value of the circumferential wavenumber for shells with the same h/R ratio reduces the natural frequency and enhances the subcritical behaviour of the shell. Interesting results are found for different L/R cases in which the solution changes from subcritical to supercritical nonlinear behaviour.