| 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 pr |
| 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 TECHN |
| 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 |