Synopses & Reviews
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
Review
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)
Synopsis
Aeroelasticity deals with the dynamics of an elastic structure in airflow with primary focus on the endemic instability of the structure called 'Flutter' that occurs at high enough speed. This book presents the 'Continuum Theory' in contrast to extant literature which is computational. Continuum theory provides answers to 'What If' questions which numerical codes cannot. It makes possible precise definitions-such as what is 'Flutter Speed'. Physical phenomena-such as Transonic Dip for example-can be captured by simple closed form formulae. And above all it can help develop intuition based on a better understanding of the phenomena of interest. Like any mathematical theory it enables a degree of generality and qualitative conclusions, increasing insight.
Table of Contents
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.-