Aeroelasticity

The Continuum Theory

AV Balakrishnan

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English

Springer-Verlag New York Inc.
13 July 2012

Functional analysis & transforms; Differential calculus & equations; Aerodynamics; Aerospace & aviation technology

The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for

the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in mind because of its enormous consequences for the safety of aircraft.

Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that

there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body.

From the foreword:

""For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint,

this book and its author have much to offer the reader.""

Earl Dowell, Duke University, USA

By: AV Balakrishnan
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States [Currently unable to ship to USA: see Shipping Info]
Edition: 2012 ed.
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 781g
ISBN: 9781461436089
ISBN 10: 1461436087
Pages: 400
Publication Date: 13 July 2012
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction.- Dynamics of Wing Structure.- The Air Flow Model.- The Steady State HStatic L Solution of the Aeroelastic Equation.- Linear Aeroelasticity Theory The Possio Integral Equation.- NonLinear Aeroelasticity Theory in 2 D Aerodynamics Flutter As LCO.- Viscous Flow Theory.-Optimal Control Theory : Flutter Suppression.- Aeroelastic Gust Response.-

Reviews for Aeroelasticity: The Continuum Theory

From the reviews: Aeroelasticity studies the dynamics of an elastic structure surrounded by air flow, for example, the behavior of the wing of a flying aircraft. ... The book is recommended to applied mathematicians, as well as aeronautical and mechanical engineers. (Cornel Marius Murea, Mathematical Reviews, February, 2013)