The objective is to provide students with the methodologies used in aeronautical engineering for the formulation and solution of aeroelastic problems, that study the phenomena of interaction between structures and air in relative motion. The student acquires aeroelastic divergence and flutter analysis skills for two- and three-dimensional wing configurations, and aeroservoelastic skills for alleviation of phenomena of instability.
Curriculum
teacher profile teaching materials
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.
Programme
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.
Core Documentation
M. Gennaretti, ``Fundamentals of Aeroelasticity,'' Springer Nature, Switzerland AG 2024.Reference Bibliography
Bisplinghoff, R.L. Ashley, H. Halfman, R.L., "Aeroelasticity", Dover Publications, 1996. Fung, Y.C., "An Introduction to the Theory of Aeroelasticity", Dover Publications, 2008.Attendance
optionalType of evaluation
The assessment consists of the completion of exercises assigned by the instructor, covering all topics addressed during the course. The oral examination encompasses all course subjects and is aimed at evaluating the student’s ability to apply the acquired knowledge to the analysis of aeroelastic problems, to correctly interpret the mathematical models proposed for the simulation of aeroelastic phenomena, and to demonstrate proficiency in the analytical tools required for the study of aeroelasticity. teacher profile teaching materials
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.
Programme
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.
Core Documentation
M. Gennaretti, ``Fundamentals of Aeroelasticity,'' Springer Nature, Switzerland AG 2024.Reference Bibliography
Bisplinghoff, R.L. Ashley, H. Halfman, R.L., "Aeroelasticity", Dover Publications, 1996. Fung, Y.C., "An Introduction to the Theory of Aeroelasticity", Dover Publications, 2008.Attendance
optionalType of evaluation
The assessment consists of the completion of exercises assigned by the instructor, covering all topics addressed during the course. The oral examination encompasses all course subjects and is aimed at evaluating the student’s ability to apply the acquired knowledge to the analysis of aeroelastic problems, to correctly interpret the mathematical models proposed for the simulation of aeroelastic phenomena, and to demonstrate proficiency in the analytical tools required for the study of aeroelasticity.