Aeroelasticity

Highly regarded resource deals with practical aspects of aeroelasticity as well as underlying aerodynamic and structural tools. Topics include compressible flow, flutter, deformation of structures, aeroelastic model theory, model design and construction, testing techniques and much more. Many numerical examples. Appendices. References. Over 300 illustrations. 1955 edition.

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