Raymond L. Bisplinghoff, Holt Ashley and Robert L. Halfman

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