A Fractional Viscoelastic Model of Flutter. Applications to Aeroelasticity

Prof Pablo Padilla (National Autonomous University of Mexico)

Thursday 7th October, 2021 14:00-15:00 ZOOM (ID: 943 3309 0482)

Abstract

Flutter is an important instability in aeroelasticity. In this work we derive a model for this phenomenon which naturally leads to an equation similar to a van der Pol oscillator in which the friction term is given by a fractional derivative. Motivated by these considerations we study a fractional van der Pol oscillator and show that it exhibits a Hopf bifurcation. Even though the model is based on a one-dimensional reduction, the instabilities associated to flutter are preserved. However, due to the fractional derivative, the bifurcation analysis diers from the standard case. We present analytic results and discuss the implications to aerodynamics.

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