Aeroelastic instability of cantilevered flexible plates in uniform flow

By Christophe Eloy, R. Lagrange, C. Souilliez, Lionel Schouveiler. Journal of Fluid Mechanics, 2008

275 citations recorded by the source corpus.

We address the flutter instability of a flexible plate immersed in an axial flow. This instability is similar to flag flutter and results from the competition between destabilizing pressure forces and stabilizing bending stiffness. In previous experimental studies, the plates have always appeared much more stable than the predictions of two-dimensional models. This discrepancy is discussed and clarified in this paper by examining experimentally and theoretically the effect of the plate aspect ratio on the instability threshold. We show that the two-dimensional limit cannot be achieved experimentally because hysteretical behaviour and three-dimensional effects appear for plates of large aspect ratio. The nature of the instability bifurcation (sub- or supercritical) is also discussed in the light of recent numerical results.

Subfields: Aerospace Engineering, Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ee14337596bea57fe0e2173284a912994986584d

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Citations in the corpus

Three-dimensional simulation of a flapping flag in a uniform flow (2010, background): “One possible reason for the difference between the two- and three-dimensional results is that the ratio of the flag width to the typical mode wavelength is not large enough at ρ = 1 for the two-dimensional assumption to be valid, and this ratio is increased as ρ increases (Eloy et al. 2008).”
Vortex shedding model of a flapping flag (2008, background): “Hysteresis behaviour Experimental studies on flapping flags have pointed out the hysteresis behaviour of the flag when the velocity of the flow at infinity is varied (Zhang et al. 2000; Shelley et al. 2005; Eloy et al. 2008).”
Flapping and Bending Bodies Interacting with Fluid Flows (2011, methodology): “Eloy et al. (2008) performed experiments in a wind tunnel of the flutter of Mylar sheets and investigated the effect (also theoretically) of sheet aspect ratio (span to length).”
Flapping dynamics of an inverted flag (2013, unknown): “(2013), vol. 736, R1, doi:10.1017/jfm.2013.555”