Fractional Viscoelastic Model of Flutter. Applications to Aeroelasticity, a talk by Professor Pablo Padilla (National Autonomous University of Mexico)
A joint IMA Scottish Branch / University of Glasgow Applied Mathematics Seminar series event
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 differs from the standard case. We present analytic results and discuss the implications to aerodynamics.
This talk will be given remotely, via Zoom. If you wish to register for attendance at this Scottish branch talk, please contact Gemma Reeves, before 1.00pm on the day of the talk, who will provide the required details.
No charge is made to attend meetings. Non-IMA members are welcome.
