Università Roma Tre

An introduction to the 2 dofs semi-rigid wing model, and derivation of the governing equations through application the Lagrangian formulation. Steady and quasi-steady, 2D, aerodynamic models for the aeroelastic analysis of the semi-rigid wing model. Study of aeroelastic flutter and divergence.

Theodorsen theory for 2D unsteady aerodynamics. V-g method for flutter analysis. Padè approximants of the `lift deficiency function' and related finite-state aeroelastic model. Correlation between Theodorsen theory and Wagner theory.

Aeroelastic modelling of 3D wings: bending-torsion structural dynamics model, `strip theory' aerodynamic model and application of the Galerkin method. Extension to swept wing analysis. Aeroelastic stability analysis.

Unsteady, 3D aerodynamics: incompressibe, inviscid flows; diffferential formulation for quasi-potential incompressible flows; boundary integral formulation for quasi-potential flows and panel method for its numerical solution. Definition of the aerodynamic matrix for aeroelastic stability analysis. Rational matrix approximation of the aerodynamic matrix, corresponding finite-state aeroelastic model and flutter analysis.

Aeroelastic model of wing section with trailing-edge flap. Actuation of flap for flutter suppression, as derived from application of optimal control theory with inclusion of an observer.

Gennaretti, M., Lezioni di Aeroelasticità, Edizioni Efesto, Roma, 2021.

The following books might be considered as useful additional references:
Bisplinghoff, R.L., Ashley H., Halfman, R., Aeroelasticity. Dover Publications, 1996.
Hodges, D.H. and Pierce, A., Introduction to Structural Dynamics and Aeroelasticity. Cambridge Aerospace Series, 2002.