AEROELASTICITY

Course objectives

The aim of the course is to acquire knowledge on the fundamentals of the aeroelasticity of aircraft in the linear field (vibrations of linear-elastic solids interacting with linearized potential flows) based on the prediction of their theoretical behavior and numerical simulation in the different operating flight conditions. Moreover, the skills are acquired to carry out the aeroelastic analyzes (stability and response checks in compliance with current regulations) of fixed-wing aircraft (divergence, flutter, gust response, response to command surfaces, effectiveness and inversion of commands) both through elementary numerical models implemented through autonomously developed computational codes, that complex interactional models of flexible aircraft and external flow through the critical use of commercial codes. Knowledge and development skills of analysis of complex fluid / structure systems and intersectoral knowledge between the mechanics of solids and fluids are acquired.

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FRANCO MASTRODDI Lecturers' profile

Program - Frequency - Exams

Course program
Generalized Lagrange Equation for aeroelasticity: spatial and modal representation. i) Bidimensional aeroelasticity. 2-D analytical models for unsteady uncompressible flows (Theodorsen theory). Stability (divergence and flutter) and gust response of a typical section. State-space representation for aeroelasticity. ii) Three-dimensional aeroelasticity. Unsteady aerodynamic loads on vehicles in linearized uncompressible and compressible potential flows: lifting surface and panel methods, generalized-aerodynamic force matrix (GAF). Some issues on the direct simulation for the evaluation of the aerodynamic forces in transonic regime, linearization and synthesis of the aerodynamic operator. Stability (divergence and flutter) and response. Numerical methods for the aeroelastic stability (k, p-k and g methods). Static response of the flexible aircraft to an angle of attack, static and dynamic response to a step function of the angle of attack of a control surface (control surface effectiveness and reversal) and response to continuum and discrete gust. FAA and EASA aeroelastic regulations. iii) Aeroservoelasticity: general base problem in state-space form, some issues on optimal control theory for aeroelastic systems. Flutter suppression and gust alleviation strategies. iv) Special aeroelastic problems: launch vehicle and helicopter rotor aeroelasticity (flap-lag flutter, ground- e air-resonance); aeroelastic constraints in structural optimization and integrated design; nonlinear aeroelasticity (limit cycles and some issues on the mathematical description of Hopf bifurcation).
Prerequisites
The prerequisites of the course are knowledge i) in the field of aeronautical structures and the structural dynamics of aircraft, ii) in the potential aerodynamics of compressible and compressible potential flows, iii) basic elements of control theory of linear systems.
Books
The teacher's notes edited by the teacher are made available in full on the internet by the teacher himself. For further information, some bibliographical references are also indicated below. [1] Bisplinghoff, R.L., Ashley, H., Halfman, R.L., Aeroelasticity, Dover Pub., New York, ISBN 0-486-69189-6, 1995. [2] Fung, Y.C., An Introduction to the Theory of Aeroelasticity, Dover Pub., New York, ISBN 0-486-67871-7, 1993. [3] Dowell, E.H. et al., A Modern Course in Aeroelasticity, Third Revised and Enlarged Edition, Kluwer Academic Publishers, 1995. [4] Rodden, W.P., Johnson, E.H., MSC / NASTRAN Aeroelastic Analysis, user's guide V68, The Macneal-Schwendler Corporation, 1994.
Teaching mode
The course is held with traditional frontal lessons (with further parallel remote connection in a pandemic emergency) both for the more theoretical aspects and in carrying out practical and design exercises.
Frequency
Attendance of the face-to-face course is strongly recommended.
Exam mode
The assessment of the acquired knowledge is carried out with a final written test on theoretical questions and on an oral test in which both theoretical and design aspects are requested on the numerical exercises carried out during the delivery of the course.
Lesson mode
The course is held with traditional frontal lessons (with further parallel remote connection in a pandemic emergency) both for the more theoretical aspects and in carrying out practical and design exercises.
FRANCO MASTRODDI Lecturers' profile

Program - Frequency - Exams

Course program
Generalized Lagrange Equation for aeroelasticity: spatial and modal representation. i) Bidimensional aeroelasticity. 2-D analytical models for unsteady uncompressible flows (Theodorsen theory). Stability (divergence and flutter) and gust response of a typical section. State-space representation for aeroelasticity. ii) Three-dimensional aeroelasticity. Unsteady aerodynamic loads on vehicles in linearized uncompressible and compressible potential flows: lifting surface and panel methods, generalized-aerodynamic force matrix (GAF). Some issues on the direct simulation for the evaluation of the aerodynamic forces in transonic regime, linearization and synthesis of the aerodynamic operator. Stability (divergence and flutter) and response. Numerical methods for the aeroelastic stability (k, p-k and g methods). Static response of the flexible aircraft to an angle of attack, static and dynamic response to a step function of the angle of attack of a control surface (control surface effectiveness and reversal) and response to continuum and discrete gust. FAA and EASA aeroelastic regulations. iii) Aeroservoelasticity: general base problem in state-space form, some issues on optimal control theory for aeroelastic systems. Flutter suppression and gust alleviation strategies. iv) Special aeroelastic problems: launch vehicle and helicopter rotor aeroelasticity (flap-lag flutter, ground- e air-resonance); aeroelastic constraints in structural optimization and integrated design; nonlinear aeroelasticity (limit cycles and some issues on the mathematical description of Hopf bifurcation).
Prerequisites
The prerequisites of the course are knowledge i) in the field of aeronautical structures and the structural dynamics of aircraft, ii) in the potential aerodynamics of compressible and compressible potential flows, iii) basic elements of control theory of linear systems.
Books
The teacher's notes edited by the teacher are made available in full on the internet by the teacher himself. For further information, some bibliographical references are also indicated below. [1] Bisplinghoff, R.L., Ashley, H., Halfman, R.L., Aeroelasticity, Dover Pub., New York, ISBN 0-486-69189-6, 1995. [2] Fung, Y.C., An Introduction to the Theory of Aeroelasticity, Dover Pub., New York, ISBN 0-486-67871-7, 1993. [3] Dowell, E.H. et al., A Modern Course in Aeroelasticity, Third Revised and Enlarged Edition, Kluwer Academic Publishers, 1995. [4] Rodden, W.P., Johnson, E.H., MSC / NASTRAN Aeroelastic Analysis, user's guide V68, The Macneal-Schwendler Corporation, 1994.
Teaching mode
The course is held with traditional frontal lessons (with further parallel remote connection in a pandemic emergency) both for the more theoretical aspects and in carrying out practical and design exercises.
Frequency
Attendance of the face-to-face course is strongly recommended.
Exam mode
The assessment of the acquired knowledge is carried out with a final written test on theoretical questions and on an oral test in which both theoretical and design aspects are requested on the numerical exercises carried out during the delivery of the course.
Lesson mode
The course is held with traditional frontal lessons (with further parallel remote connection in a pandemic emergency) both for the more theoretical aspects and in carrying out practical and design exercises.
FRANCESCO SALTARI Lecturers' profile
FRANCESCO SALTARI Lecturers' profile
  • Lesson code1041536
  • Academic year2025/2026
  • CourseAeronautical engineering
  • CurriculumModellistica e analisi per la progettazione aeronautica (percorso valido anche per il conseguimento del doppio titolo con Georgia institute of technology and Georgia tech Lorraine o per il doppio titolo Italo-portoghese )
  • Year2nd year
  • Semester1st semester
  • SSDING-IND/04
  • CFU6