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Conference Papers Year : 2013

Weakly nonlinear analysis of the flutter motion of thin cylinders

Abstract

The nature overflows with examples which prove that buoyancy-driven objects in a viscous medium can result in diverse and exotic trajectories. Among them is found the so-called Zig-Zag (ZZ)path or flutter which we investigate in the present work. The configuration is that of a thin cylinder initially rising/falling vertically in an unbounded fluid otherwise at rest. The problem is parametrized by the aspect ratio (diameter to thickness) X, the moment of inertia I* and Archimedes number (gravitational-velocity-based Reynolds) Ar. For small I*, past studies have reported asupercritical transition from the vertical to the ZZ path at a critical Arc. We show by means of linear and weakly nonlinear analyses that the observed flutter results from the nonlinear saturation of an unstable global mode of the coupled fluid+disk problem.
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Dates and versions

hal-00918002 , version 1 (12-12-2013)

Identifiers

  • HAL Id : hal-00918002 , version 1
  • OATAO : 10256

Cite

Joël Tchoufag, David Fabre, Jacques Magnaudet. Weakly nonlinear analysis of the flutter motion of thin cylinders. Ercoftac International Symposium on Unsteady separation in Fluid-Structure Interaction, Jun 2013, Mykonos, Greece. ⟨hal-00918002⟩
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