dorsal/arxiv
View SchemaFlutter of a Flag
| Authors | Mederic Argentina, L. Mahadevan |
|---|---|
| Categories | |
| ArXiv ID | physics/0403001 |
| URL | https://arxiv.org/abs/physics/0403001 |
Abstract
We give an explanation for the onset of wind-induced flutter in a flag. Our theory accounts for the various physical mechanisms at work: the finite length and the small but finite bending stiffness of the flag, the unsteadiness of the flow, the added mass effect and vortex shedding from the trailing edge. Our analysis allows us to predict a critical speed for the onset of flapping as well as the frequency of flapping. We find that in a particular limit corresponding to a low density fluid flowing over a soft high density flag, the flapping instability is akin to a resonance between the mode of oscillation of a rigid pivoted airfoil in a flow and a hinged-free elastic filament vibrating in its lowest mode.
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"abstract": "We give an explanation for the onset of wind-induced flutter in a flag. Our\ntheory accounts for the various physical mechanisms at work: the finite length\nand the small but finite bending stiffness of the flag, the unsteadiness of the\nflow, the added mass effect and vortex shedding from the trailing edge. Our\nanalysis allows us to predict a critical speed for the onset of flapping as\nwell as the frequency of flapping. We find that in a particular limit\ncorresponding to a low density fluid flowing over a soft high density flag, the\nflapping instability is akin to a resonance between the mode of oscillation of\na rigid pivoted airfoil in a flow and a hinged-free elastic filament vibrating\nin its lowest mode.",
"arxiv_id": "physics/0403001",
"authors": [
"Mederic Argentina",
"L. Mahadevan"
],
"categories": [
"physics.flu-dyn"
],
"title": "Flutter of a Flag",
"url": "https://arxiv.org/abs/physics/0403001"
},
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