Shreyas Mandre

University Associate Professor of Fluid-Structure Interaction
Department of Engineering, University of Cambridge


A generalized theory of viscous and inviscid flutter

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.