Principles of Aeroelasticity

Introductory Guide on the Design of Aerospace Structures

Developed from a course taught at Concordia University for more than 20 years, Principles of Aeroelasticity utilizes the author?s extensive teaching experience to immerse undergraduate and first-year graduate students into this very specialized subject. Ideal for coursework or self-study, this detailed examination introduces the concepts of aeroelasticity, describes how aircraft lift structures behave when subjected to aerodynamic loads, and finds its application in aerospace, civil, and mechanical engineering.

The book begins with a discussion on static behavior, and moves on to static instability and divergence, dynamic behavior leading up to flutter, and fluid structure interaction problems. It covers classical approaches based on low-order aerodynamic models and provides a rationale for adopting certain aeroelastic models. The author describes the formulation of discrete models as well as continuous structural models. He also provides approximate methods for solving divergence, flutter, response and stability of structures, and addresses non-aeroelastic problems in other areas that are similar to aeroelastic problems.

Topics covered include:

• The fundamentals of vibration theory
• Vibration of single degree of freedom and two degrees of freedom systems
• Elasticity in the form of an idealized spring element
• Repetitive motion
• Flutter phenomenon
• Classical methods, Rayleigh-Ritz techniques, Galerkin?s technique, influential coefficient methods, and finite element methods
• Unsteady aerodynamics, and more

Introduction. Elementary Aerodynamics. Static Aeroelasticity. Divergence of a Lifting Surface. Divergence of a Typical Section with a Control Surface. Dynamic Aeroelasticity. One-Dimensional Aeroelastic Model of Airfoils. Rolling of a Straight Wing. Flutter of a Cantilever Wing. Approximate Techniques of Modeling Continuous Systems. Nonlinear Aeroelasticity. Unsteady Aerodynamics. References.

Rama Bhat is a professor of mechanical and industrial engineering at Concordia University, Montreal, Canada. His research areas include dynamics of structures, vibration of continuous systems, rotor dynamics, sound transmission into aircraft fuselage, dynamics of micro-electro-mechanical systems, ride dynamics and biodynamics. He has published widely and taught courses in the above areas. In particular, he has been teaching a course on the principles of aeroelasticity for over two decades. He was awarded the NASA Award for his contribution as a member of the team that developed the "PROSSS-Programming Structured Synthesis System" and is a Fellow of several technical societies.