Principles of Aeroelasticity: 1st Edition (Hardback) book cover

Principles of Aeroelasticity

1st Edition

By Rama B. Bhat

CRC Press

173 pages | 69 B/W Illus.

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Hardback: 9781498724722
pub: 2016-04-14
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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

Table of Contents


Elementary Aerodynamics

General Concepts

The Joukowski Transformation for Airfoils

Dimensional Analysis of Force Experienced by a Solid Body in a Flow

Static Aeroelasticity


Determination of Shear Center in a Thin-Walled Section

Divergence of a Lifting Surface


Divergence of a Typical Section with a Control Surface


Control Surface Reversal

Dynamic Aeroelasticity


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


Simple Torsion of a Bar

General Approximations for Aerodynamic Theory

Eigenvalue and Eigenfunction Approaches

Rolling of a Straight Wing


Determination of Aerodynamic Influence Functions

Flutter of a Cantilever Wing


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


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


Theodorsen’s Unsteady Thin-Airfoil Theory

Flutter Prediction via Assumed Modes


About the Author

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.

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mechanics / General