Parametric instability and snap-through of partially fluid-filled cylindrical shells
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Data
2011
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Resumo
The aim of the present paper is to study the parametric instability and snap-through buckling of an axially pre-loaded,
partially fluid-filled cylindrical shell. The Donnell non-linear shallow shell theory is used to study the nonlinear
vibrations of the shell. For this, the Galerkin method is used, together with a suitable expansion that takes into
account the main nonlinear interactions, to discretize the shell. The resulting nonlinear equations of motion are solved
by numerical integration. The fluid is assumed to be non-viscous and incompressible and its inertial effects on the
shell surface are obtained by the potential flow theory. A detailed parametric analysis is carried out to demonstrate
the influence of the fluid height within the shell on the parametric instability load and on the snap-through buckling
load in the main parametric resonance region. Using bifurcations diagrams, the main bifurcation events associated
with these stability boundaries are identified. The influence of the different types of bifurcation and fluid height on
the safety is also discussed.
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Palavras-chave
Cylindrical shell, Partially filled shell, Snap-through buckling, Fluid-shell interaction, Parametric instability
Citação
SILVA, F. M. A; GONÇALVES, P. B.; N. DEL PRADO, Z. J. G. Parametric instability and snap-through of partially fluid-filled cylindrical shells. Procedia Engineering, Amsterdam, v. 14, p. 598-605, 2011.