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arXiv · 1109.4196

The origin of hysteresis in the flag instability

Christophe Eloy·Nicolas Kofman·Lionel Schouveiler
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Abstract

The 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, this 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.

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Christophe Eloy, Nicolas Kofman, Lionel Schouveiler. 2011-09-20. The origin of hysteresis in the flag instability. https://doi.org/10.1017/jfm.2011.494

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