Flutter
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A generalized theory of viscous and inviscid flutter
Mandre and Mahadevan
Fluid Mechanics
Biomechanics
Geophysics
Fluid-structure interaction
Flutter
We present a unified theory of flutter in inviscid and viscous flows interacting with flexible structures based on the phenomenon of 1 : 1 resonance. We show this by treating four extreme cases corresponding to viscous and inviscid flows in confined and unconfined flows. To see the common mechanism clearly, we consider the limit when the frequencies of the first few elastic modes are closely clustered and small relative to the convective fluid time scale.