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Cambridge University Press, Journal of Fluid Mechanics, (691), p. 583-593

DOI: 10.1017/jfm.2011.494

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The origin of hysteresis in the flag instability

Journal article published in 2011 by Christophe Eloy ORCID, Nicolas Kofman, Lionel Schouveiler
This paper is available in a repository.
This paper is available in a repository.

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Abstract

AbstractThe flapping flag instability occurs when a flexible cantilevered plate is immersed in a uniform airflow. To this day, the nonlinear aspects of this aeroelastic instability are largely unknown. In particular, experiments in the literature all report a large hysteresis loop, while the bifurcation in numerical simulations is either supercritical or subcritical with a small hysteresis loop. In this paper, the discrepancy is addressed. First, weakly nonlinear stability analyses are conducted in the slender-body and two-dimensional limits, and, second, new experiments are performed with flat and curved plates. The discrepancy is attributed to inevitable planeity defects of the plates in the experiments.