Completed notes of the course

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POLITECNICO DI MILANO Filippo D’Ambrosio STRUCTURAL DYNAMICS AND AEROELASTICITY Anno accademico 2024/2025 Docente: Giuseppe Quaranta 1 Preface These handouts are based on my personal notes taken in the academic year 2024/2025, on the slides of Professor G. Quaranta and on the handouts made by Jacopo Alberti, who wrote another version of it the year before (credits to you J). I don’t take any responsibility about its accuracy and correctness. It is just a tool to help you guys pass the exam, i hope you’ll find it useful! Last but not least, it has not been written to be sold, students MUST be able to study from it charge-free. For any possible mistake on it or any suggestion to make it better, write an email to [email protected] 2 Contents 1 Introduction 8 1.1 Divergence and Flutter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.1.1 Aeroelasticity through time . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 Static Aeroelasticity 11 2.1 Static aeroelasticity of the typical section . . . . . . . . . . . . . . . . . . . . . . . 11 2.1.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1.2 Aerodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 Divergence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2.1 Comparison between rigid and elastic lift . . . . . . . . . . . . . . . . . . . 13 2.2.2 Torsional divergence as a stability problem . . . . . . . . . . . . . . . . . . 13 2.2.3 Torsional divergence as an eigenvalue problem . . . . . . . . . . . . . . . . . 14 2.2.4 Effects of Mach number on torsional divergence . . . . . . . . . . . . . . . . 14 2.3 Control surface effectiveness . . . . . . . . . . . . . . . . .…