Introduction to Structural Dynamics and Aeroelasticity

In this chapter we have considered the free-vibration analysis and modal representation for flexible structures, along with methods for solving initial-value and forced response problems associated therewith. Moreover, modal approximation methods based on the Ritz and Galerkin methods were introduced. This sets the stage for consideration of aeroelastic problems in Chapters 3 and 4. The static aeroelasticity problem, treated in Chapter 3, results from interaction of structural and aerodynamic loads. These loads are a subset of those involved in dynamic aeroelasticity, which includes inertial effects. One aspect of dynamic aeroelasticity is flutter, which is treated in Chapter 4. It will be seen that both the modal representation and the modal approximation methods apply equally well to both types of problems.