Aeroelasticity: (Dover Books on Aeronautical Engineering)

Designed as both a textbook for advanced engineering students and a reference book for practicing engineers, this highly regarded work deals not only with the practical aspects of aeroelasticity, but the aerodynamic and structural tools upon which these rest. Accordingly, the book divides roughly into two halves: the first deals with the tools and the second with applications of the tools to aeroelastic phenomena.Topics include deformation of airplane structures under static and dynamic loads, approximate methods of computing natural mode shapes and frequencies, two-and three-dimensional incompressible flow, compressible flow, wings and bodies in three-dimensional unsteady flow, static aeroelastic phenomena, flutter, dynamic response phenomena, aeroelastic model theory, model design and construction, testing techniques and more. Chapters have been designed to progress from easy to difficult so that instructors using this book as an elementary text in aeroelasticity will find their purposes served by simply using the first parts of selected chapters.Helpful appendixes deal with such mathematical tools as matrices and linear systems (prerequisites include the usual engineering mathematics courses and advanced calculus}, while many numerical examples are included throughout the text. Engineering students as well as practicing engineers will find this work an unmatched treatment of the topic and an indispensable reference for their libraries.

Table of Contents:
CHAPTER 1. INTRODUCTION TO AEROELASTICITY 1-1 Definitions 1-2 Historical background 1-3 Influence of aeroelastic phenomena on design 1-4 Comparison of wing critical speeds CHAPTER 2. DEFORMATIONS OF AIRPLANE STRUCTURES UNDER STATIC LOADS 2-1 Introduction 2-2 Elastic properties of structure 2-3 Deformation due to several forces. Influence coefficients 2-4 Properties of influence coefficients 2-5 Strain energy in terms of influence coefficients 2-6 Deformations under distributed forces. Influence functions 2-7 Properties of influence functions 2-8 The simplified elastic airplane 2-9 Deformations of airplane wings 2-10 Integration by weighting matrices 2-11 Energy methods in deflection calculations 2-12 Deformations of slender unswept wings 2-13 Influence functions and coefficients of slender swept wings 2-14 Deformations and influence coefficients of low aspect-ratio wings 2-15 Influence coefficients of complex built-up wings by the principle of minimum strain energy 2-16 Influence coefficients of complex built-up wings by the principle of minimum potential energy 2-17 Calculation of deformations of solid wings of variable thickness and complex built-up wings by the Rayleigh-Ritz method CHAPTER 3. DEFORMATION OF AIRPLANE STRUCTURES UNDER DYNAMIC LOADS 3-1 Introduction 3-2 Differential equations of motion of a beam 3-3 Integral equation of motion of a slender beam 3-4 Dynamic equilibrium of slender rotating beams in torsion 3-5 Dynamic equilibrium of slender beams in torsion 3-6 Dynamic equilibrium of restrained airplane wing 3-7 Dynamic equilibrium of the unrestrained elastic airplane 3-8 Energy methods 3-9 Approximate methods of solution to practical problems 3-10 Approximate solutions by the Rayleigh-Ritz method 3-11 Approximate solutions by the lumped parameter method CHAPTER 4. APPROXIMATE METHODS OF COMPUTING NATURAL MODE SHAPES AND FREQUENCIES 4-1 Introduction 4-2 Natural modes and frequencies by energy methods 4-3 Natural mode shapes and frequencies derived from the integral equation 4-4 Natural mode shapes and frequencies derived from the differential equation 4-5 Solution of characteristic equations 4-6 Natural modes and frequencies of complex airplane structures 4-7 Natural modes and frequencies of rotating beams CHAPTER 5. AERODYNAMIC TOOLS: TWO- AND THREE-DIMENSIONAL INCOMPRESSIBLE FLOW 5-1 Fundamentals: the concept of small disturbances 5-2 Properties of incompressible flow with and without circulation 5-3 Vortex flow 5-4 Thin airfoils in steady motion 5-5 Finite wings in steady motion 5-6 Thin airfoils oscillating in incompressible flow 5-7 Arbitrary motion of the thin airfoils in incompressible flow; the gust problem CHAPTER 6. AERODYNAMIC TOOLS: COMPRESSIBLE FLOW 6-1 Introduction 6-2 Wings and airfoils in steady subsonic flow; the Prandtl-Glauert transformation 6-3 Airfoils and wings in steady supersonic flow 6-4 Oscillating airfoils in subsonic flow 6-5 Arbitrary small motions of airfoils in subsonic flow 6-6 Oscillating airfoils in supersonic speeds 6-7 Indicial airfoil motions in supersonic flow 6-8 Unsteady motion of airfoils at Mach number one CHAPTER 7. WINGS AND BODIES IN THREE-DIMENSIONAL UNSTEADY FLOW 7-1 Introduction 7-2 Oscillating finite wings in incompressible flow 7-3 The influence of sweep 7-4 Wings of very low aspect ratio in unsteady motion 7-5 The influence of sweep 7-6 Unsteady motion of nonlifting bodies CHAPTER 8. STATIC AEROELASTIC PHENOMENA 8-1 Introduction 8-2 Twisting of simple two-dimensional wing with aileron 8-3 Slender straight wings 8-4 Swept wings 8-5 Low aspect-ratio lifting surfaces of arbitrary planform and stiffness CHAPTER 9. FLUTTER 9-1 Introduction. The nature of flutter 9-2 Flutter of a simple system with two degrees of freedom 9-3 Exact treatment of the bending-torsion flutter of a uniform cantilever wing 9-4 Aeroelastic modes 9-5 Flutter analysis by assumed-mode methods 9-6 Inclusion of finite span effects in flutter calculations 9-7 The effect of compressibility on flutter 9-8 Flutter of swept wings 9-9 Wings of low aspect ratio 9-10 Single-degree-of-freedom flutter 9-11 Certain other interesting types of flutter CHAPTER 10. DYNAMIC RESPONSE PHENOMENA 10-1 Introduction 10-2 Equations of disturbed motion of an elastic airplane 10-3 Systems with prescribed time-dependent external forces 10-4 Transient stresses during landing 10-5 Systems with external forces depending upon the motion 10-6 Dynamic response to a discrete gust 10-7 Dynamic response to continuous atmospheric turbulence CHAPTER 11. AEROELASTIC MODEL THEORY 11-1 Introduction 11-2 Dimensional concepts 11-3 Equations of motion 11-4 Vibration model similarity laws 11-5 Similarity laws for systems under steady airloads 11-6 Flutter model similarity laws 11-7 The unrestrained flutter model 11-8 The dynamic stability model CHAPTER 12. MODEL DESIGN AND CONSTRUCTION 12-1 Introduction 12-2 Structural simulation 12-3 Elastic properties as functions of one variable 12-4 Elastic properties as functions of two variables 12-5 Shape simulation 12-6 Inertial simulation CHAPTER 13. TESTING TECHNIQUES 13-1 Introduction 13-2 Measurement of structural flexibility 13-3 Measurement of natural frequencies and mode shapes 13-4 Steady-state aeroelastic testing 13-5 Dynamic aeroelastic testing - full scale 13-6 Dynamic aeroelastic testing - model scale APPENDICES. MATHEMATICAL TOOLS A Matrices B Integration by weighting numbers C Linear systems REFERENCES AUTHOR INDEX SUBJECT INDEX