Fundamentals of Aeroelasticity

This textbook provides the fundamentals of aeroelasticity, with particular attention to problems of interest to aeronautical engineering. The mathematical methods and tools applicable to the modern modeling of general aeroelastic problems are presented, discussed, and applied to fixed-wing aircraft configurations. It is composed of ten chapters divided into two parts: (I) aeroelastic modeling and analysis and (ii) mathematical tools. The six chapters that compose the first part start from the historical background of the discipline, then present the methods for coupling structural dynamics and unsteady aerodynamics for the aeroelastic modeling of the typical wing section, and then extend them to applications for twisted, tapered, swept finite-wing configurations. In this context, particular attention is paid to the presentation, interpretation, and discussion of the available unsteady sectional aerodynamic theories, both in the time and frequency domain, providing a broad scenario of the formulations that can be used for conventional and non-conventional aerodynamic/aeroelastic applications. For a modern view of aeroelasticity, a significant portion of the textbook deals with illustration and discussion of three-dimensional aerodynamic theories and computational methods for the determination of unsteady aerodynamic loads over lifting bodies in incompressible and compressible flows, as well as to the introduction and explanation of methodologies for the identification of reduced-order, state-space aerodynamic/aeroelastic operators suitable for stability (flutter) analysis and control purposes. A chapter is dedicated to the theories and approaches for aeroservoelastic modeling. In the second part of the textbook, additional chapters provide theoretical insights on topics that enrich the multidisciplinary knowledge related to widely applied methods and models for the analysis and solution of aeroelastic problems. The book serves as a reference tool for master's degree students in aeronautical/aerospace engineering, as well as researchers in the field of aeroelasticity.Table of ContentPart I: Aeroelastic modelling and solution methods.- CHAPTER 1 Introduction to Aeroelasticity.- CHAPTER 2 The Wing Typical Section.- CHAPTER 3 Finite Wings.- CHAPTER 4 The Panel Method for Wing Aeroelasticity.- CHAPTER 5 Elements of Aeroservoelasticity.- CHAPTER 6 Finite Wings in Compressible Flows.- CHAPTER 7 An Introduction to Rotary-Wing Aeroelasticity.- Part II: Mathematical tools and methods.- CHAPTER 8 Elements of the Calculus of Variations.- CHAPTER 9 Elements of Differential Geometry.- CHAPTER 10 Notes on Galërkin's Method.Biographical NoteMassimo Gennaretti is Full Professor of Aerospace Constructions and Structures, Lecturer of Aeroelasticity and Fundamentals of Aeronautics at University of Roma Tre, Italy. His research activity deals with the development of number-theoretic models for non-stationary aerodynamics, aeroelasticity, aeroservoelasticity and aeroacoustics, with special reference to rotary-wing aircraft. He is the author of about 250 scientific publications and has collaborations with national and international universities, research institutions and companies, gained also in the context of participation in various EU-funded research programs.This textbook provides the fundamentals of aeroelasticity, with particular attention to problems of interest to aeronautical engineering. The mathematical methods and tools applicable to the modern modeling of general aeroelastic problems are presented, discussed, and applied to fixed-wing aircraft configurations. It is composed of ten chapters divided into two parts: (I) aeroelastic modeling and analysis and (ii) mathematical tools. The six chapters that compose the first part start from the historical background of the discipline, then present the methods for coupling structural dynamics and unsteady aerodynamics for the aeroelastic modeling of the typical wing section, and then extend them to applications for twisted, tapered, swept finite-wing configurations. In this context, particular attention is paid to the presentation, interpretation, and discussion of the available unsteady sectional aerodynamic theories, both in the time and frequency domain, providing a broad scenario of the formulations that can be used for conventional and non-conventional aerodynamic/aeroelastic applications. For a modern view of aeroelasticity, a significant portion of the textbook deals with illustration and discussion of three-dimensional aerodynamic theories and computational methods for the determination of unsteady aerodynamic loads over lifting bodies in incompressible and compressible flows, as well as to the introduction and explanation of methodologies for the identification of reduced-order, state-space aerodynamic/aeroelastic operators suitable for stability (flutter) analysis and control purposes. A chapter is dedicated to the theories and approaches for aeroservoelastic modeling. In the second part of the textbook, additional chapters provide theoretical insights on topics that enrich the multidisciplinary knowledge related to widely applied methods and models for the analysis and solution of aeroelastic problems. The book serves as a reference tool for master's degree students in aeronautical/aerospace engineering, as well as researchers in the field of aeroelasticity.Presents the methods for coupling structural dynamics and unsteady aerodynamics for aeroelastic modelingDeals with aeroelastic problems related to 2D models and 3D fixed- and rotary-wing configurationsServes as a reference tool for aeronautical/aerospace engineering mas-ter's students and aeroelasticity scholars