Principles of Aeroelasticity

Cover......Page 1
Title......Page 3
Copyright......Page 4
Dedication......Page 5
PREFACE......Page 6
CONTENTS......Page 9
1-1 THE LITERATURE OF AEROELASTICITY......Page 10
1-2 SCOPE AND IMPORTANCE OF THE FIELD......Page 12
1-3 A NEW SCHEME OF PRESENTATION......Page 22
2-1 INTRODUCTION......Page 27
1-2 EQUILIBRIUM AND COMPATIBILITY CONDITIONS FOR ELASTICALLY DEFORMABLE BODIES......Page 28
2-3 THERMODYNAMIC BEHAVlOR OF LOADED AND HEATED ELASTICALLY DEFORMABLE BODIES......Page 34
2-4 HAMlLTON\'S PRINCIPLE......Page 38
2-5 A SIMPLE APPLICATION OF HAMILTON\'S PRINCIPLE......Page 40
2-6 LAGRANGE\'S EQUATION......Page 42
2-7 A SIMPLE APPLICATION OF LAGRANGE\'S EQUATION......Page 45
3-1 AEROELASTIC OPERATORS AND THEIR MANIPULATION......Page 50
3-3 ADJOINT OPERATORS AND EQUATIONS......Page 56
3-4 CLASSIFICATION OF THE EQUATIONS OF AEROELASTICITY......Page 62
3-5 SOLUTION OF THE EQUATIONS OF AEROELASTICITY......Page 63
4-1 INTRODUCTION: FUNDAMENTAlS OF AERODYNAMIC THEORY......Page 79
4-2 GENERAL FORMS OF THE OPERATORS......Page 91
4-3 AIRFOILS IN TWO-DIMENSIONAL STEADY FLOW......Page 95
4-4 LIFTING SURFACES AND OTHER CONFIGURATIONS IN THREE-DIMENSIONAL STEADY FLOW......Page 99
4-5 AIRFOILS IN TWO-DrMENSIONAL UNSTEADY FLOW; SIMPLE HARMONIC MOTION......Page 112
4-6 AIRFOILS IN TWO-DIMENSIONAL UNSTEADY FLOW; TRANSIENT MOTION, GUST LOADING, AND ACCELERATED FLIGHT......Page 123
4-7 LIFTING SURFACES AND OTHER CONFIGURATIONS IN TIHREE-DIMENSIONAL UNSTEADY FLOW; SIMPLE HARMONIC MOTION......Page 134
4-8 OTHER PROBLEMS OF UNSTEADY MOTION IN THREE DIMENSIONS......Page 150
5-1 INTRODUCTION......Page 162
5-2 ONE-DIMENSIONAL STRUCTURES......Page 164
5-3 TWO-DIMENSIONAL STRUCTURES......Page 170
5-4 HOMOGENEOUS ISOTROPIC ELASTIC SOLID......Page 194
5-5 THREE-DIMENSIONAL ELASTIC STRUCTURE......Page 196
6-1 INTRODUCTION......Page 198
6-2 STATIC PROBLEMS......Page 199
6-3 THE SYSTEM UNDER PRESCRIBED TIME-DEPENDENT INPUTS......Page 210
6-4 FORCED MOTION IN THE PRESENCE OF EXTERNAL LOADS DEPENDING ON THE MOTION......Page 226
6-5 EIGENVALUES; DYNAMIC AEROELASTlC INSTABILITY (FLUITER) IN VARIOUS FLIGHT SPEED RANGES......Page 244
6-6 THE PHYSICAL EXPLANATION OF FLUTTER......Page 267
7-1 INTRODUCTION......Page 289
7-2 STATIC PROBLEMS OF LARGE ASPECT-RATIO STRAIGHT WINGS......Page 297
7-3 STATIC PROBLEMS OF STRAIGHT AND SWEPT WINGS SOLVED BY APPROXIMATE METHODS......Page 320
7-4 CHORDWISE DEFORMATIONS AND VERY SLENDER CONFIGURATIONS......Page 339
7-5 PRESCRIBED TIME-DEPENDENT INPUTS......Page 353
7-6 FORCING IN THE PRESENCE OF EXTERNAL LOADS DEPENDENT ON THE MOTION......Page 363
7-7 EIGENVALUES; FLUTTER OF ONE-DIMENSIONAL STRUCTURES......Page 383
8-1 INTRODUCTION......Page 412
8-2 TWO·DIMENSIONAL LIFTING SURFACES\rIN GENERAL......Page 413
8-3 LOW-ASPECT-RATIO CANTILEVER WINGS......Page 419
8-4 SURFACE SKIN PANELS......Page 425
8-5 FLAT PANELS......Page 427
8-6 THIN CYLINDRICAL PANELS......Page 446
8-7 CIRCULAR CYLINDRICAL SHELLS......Page 450
9-1 INTRODUCTION......Page 459
9-2 FREE VIBRATIONS IN A VACUUM......Page 462
9-3 FORCED MOTION IN TERMS OF NATURAL VIBRRATION MODES......Page 465
9-4 EQUATIONS Of\' MOTION IN SCALAlt FORM......Page 469
9-5 THE EQUATIONS OF SMALL DISTURBED MOTION FROM STEADY RECTILINEAR FLIGHT......Page 473
9-6 EXAMPLES OF THE DISTURBED MOTION OF UNRESTRAINED ELASTIC VEHICLES......Page 477
10-1 INTRODUCTION......Page 496
10-2 RFSPONSE AND STABILITY......Page 497
10-3 THE SINGLE-DEGREE-OF-FREEDOM SYSTEM WITH TIME-VARYING COEFFICIENTS......Page 498
10-4 STABILITY OF SINGLE-DEGREE OF-FREEDOM LINEAR SYSTEMS WITH SLOWLY TIME-VARYING COEFFICIENTS......Page 506
10-5 SOME AERONAUTICAL APPLlCATIQNS......Page 509
10-6 TWO-DEGREE-OF-FREEDOM SYSTEM WITH TIME-VARYING COEFFICIENTS......Page 514
10-7 AUTONOMOUS SECOND-ORDER NONLINEAR SYSTEMS......Page 518
10-8 AN APPLICATION TO FLUTTER AND RELATED PROBLEMS......Page 523
INDEX......Page 529
BACK COVER......Page 536