Principles of Aeroelasticity

Introduction Elementary Aerodynamics General Concepts The Joukowski Transformation for Airfoils Dimensional Analysis of Force Experienced by a Solid Body in a Flow Static Aeroelasticity Introduction Determination of Shear Center in a Thin-Walled Section Divergence of a Lifting Surface Introduction Divergence of a Typical Section with a Control Surface Introduction Control Surface Reversal Dynamic Aeroelasticity Introduction Vibration Theory Damped Single DOF System Energy Method Sinusoidal Excitation Periodic Force Arbitrary Force Two DOF System Equations of Motion of a Two DOF Model of an Aircraft Wing Quasi-Steady Aerodynamic Theory Can Flutter Be Seen If Only Torsional Motion Is Considered? Dynamics of Airfoil Random Motion One-Dimensional Aeroelastic Model of Airfoils Introduction Simple Torsion of a Bar General Approximations for Aerodynamic Theory Eigenvalue and Eigenfunction Approaches Rolling of a Straight Wing Introduction Determination of Aerodynamic Influence Functions Flutter of a Cantilever Wing Introduction Simple Bending of Beams Stability of the Motion Approximate Techniques of Modeling Continuous Systems Influence Coefficient Method Galerkin's Method Rayleigh-Ritz Method Finite Element Method Assembly of Finite Elements Finite Element Representation of the Response and Flutter Problems Elastic Foundation Eigenfunctions and Eigenvalues Nonairfoil Physical Problems Divergence Stall Flutter Flutter and Buffeting of Bridges Aeroelasticity of Turbomachinery Blades Nonlinear Aeroelasticity Generic Nonlinear Aeroelastic Behavior One Degree of Freedom Nonlinear System: Divergence One Degree of Freedom System: Dynamic Effects Two Degrees of Freedom System: Dynamic Effects Unsteady Aerodynamics Introduction Theodorsen's Unsteady Thin-Airfoil Theory Flutter Prediction via Assumed Modes References