Course detail
Aeroelasticity
FSI-OAE Acad. year: 2025/2026 Winter semester
The goal of the course is to familiarise students with principles of aeroelasticity for atmospheric aircraft. General introduction to problems of interaction between elastic body and fluid flow. Torsional divergence. Control surface reverse. Vibrations of aircraft structures. Modes of motion. Non-stationary aerodynamics. Buffeting. Flutter. General equations of the elastic wing motion. Critical speed solution. Applications to aircraft design.
Language of instruction
Czech
Number of ECTS credits
4
Supervisor
Department
Entry knowledge
Knowledge of elastic theory and structure strength, basic knowledge of body dynamic.
Rules for evaluation and completion of the course
Awarding a course-unit credit requirements: participation in exercises (90% at the minimum), presentation of reports to problems from exercises. Examination: test.
90% participation in exercises, presentation of all reports to problems from exercises.
Aims
The goal of lectures is to explain the most important aeroelastic effects, which can be met during atmospheric airplane traffic.
Using simple calculation methods, students will learn to consider qualitatively and quantitatively the conceptual and structural setting of a designed aircraft regarding its aeroelastic characteristics and behaviour.
The study programmes with the given course
Programme N-LKT-P: Aerospace Technology , Master's
specialization STL: Aircraft Design, compulsory
Type of course unit
Lecture
26 hours, optionally
Syllabus
1. Introduction. Terminology.
2. Free vibrations. Methods of analysis.
3. Bending and torsion vibration of wing structures.
4. Coupled bending-torsion vibrations.
5. Torsional divergence. Condition for torsional divergence. Typical section problem.
6. Three-dimensional case of torsional divergence.
7. Control reversal. Condition for control reversal. Influence of wing sweep angle on static aeroelastic phenomena.
8. Basics of unsteady aerodynamics.
9. Dynamic aeroelastic phenomena.
10. Principle of bending-torsion flutter. 2D and 3D cases.
11. Methods for calculating critical flutter speed. Effects of construction parameters.
12. Experimental aeroelasticity.
13. Certification procedures for evaluation of aeroelastic resistance.
Laboratory exercise
1 hours, compulsory
Syllabus
1.Experimental modal analysis of wing structure
Exercise
12 hours, compulsory
Syllabus
1. Calculation of spar deflection. Castigliano’s theorem.
2. Vibration analysis of rigid bodies and systems of bodies.
3. Calculation of natural frequency of harmonic bending vibration using the Rayleigh method.
4. Calculation of natural frequency of harmonic torsion vibration using the Rayleigh method.
5. Calculation of critical speed of torsional divergence – 2D case.
6. Calculation of critical speed of torsional divergence – 3D case.
7. Influence of eccentricity on critical speed of torsional divergence.
8. Calculation of critical speed of aileron reversal – 2D case.
9. Calculation of critical speed of aileron reversal – 3D case.
10. Calculation of natural frequency of harmonic bending-torsion vibration using the Galerkin method.
11. Calculation of flutter critical speed of straight wing.
12. Finite element methods in aeroelasticity – MSC.Nastran.