Introduction to structural dynamics and aeroelasticity

Aeroelastic and structural dynamic phenomena play an important role in many facets of engineering. In particular, an understanding of these disciplines is essential to the design of aircraft and space vehicles. This text provides an introduction to structural dynamics and aeroelasticity, with an emphasis on conventional aircraft. The primary areas considered are structural dynamics, static aeroelasticity, and dynamic aeroelasticity. The structural dynamics material emphasizes vibration, the modal representation, and dynamic response. Aeroelastic phenomena discussed include divergence, aileron reversal, airload redistribution, unsteady aerodynamics, flutter, and elastic tailoring. Both exact and approximate solution methodologies are stressed. More than one hundred illustrations and tables help clarify the text, while upwards of fifty problems enhance student learning.

Author Notes

Dewey H. Hodges is Professor in the School of Aerospace Engineering at the Georgia Institute of Technology.

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Hodges (Georgia Institute of Technology) and Pierce (emer., Georgia Institute of Technology) have written this significant publication to fill an important gap in aeronautical engineering education. They have done a creditable job in putting together the three essential interactive elements of aeroelasticity under one umbrella. In the process they brought the difficult subject matter to the level of understanding of senior undergraduate students. The major chapters of the book treat topics like structural dynamics, static aeroelasticity, and dynamic aeroelasticity with special reference to flutter phenomenon. In the chapter on structural dynamics, the authors offer a number of example problems, and they provide a problem set at the end of each major chapter. The book ends with an appendix covering basics of Lagrange equations of motion. Excellent illustrations; comprehensive subject index; adequate general bibliography. ^BSumming Up: Highly recommended. Upper-division undergraduate and graduate students; professionals. P. K. Basu Vanderbilt University

Foreword	p. xi
1 Introduction	p. 1
2 Structural Dynamics	p. 5
2.1 Uniform String Dynamics	p. 6
2.1.1 Equations of Motion	p. 6
2.1.2 Standing Wave (Modal) Solution	p. 9
2.1.3 Orthogonality of Mode Shapes	p. 13
2.1.4 Using Orthogonality	p. 14
2.1.5 Traveling Wave Solution	p. 17
2.1.6 Generalized Equations of Motion	p. 20
2.1.7 Generalized Force	p. 25
2.2 Uniform Beam Torsional Dynamics	p. 30
2.2.1 Equation of Motion	p. 31
2.2.2 Boundary Conditions	p. 33
2.2.3 Example Solutions for Mode Shapes and Frequencies	p. 35
2.3 Uniform Beam Bending Dynamics	p. 41
2.3.1 Equation of Motion	p. 41
2.3.2 General Solutions	p. 44
2.3.3 Boundary Conditions	p. 45
2.3.4 Example Solutions for Mode Shapes and Frequencies	p. 49
2.4 Approximate Solution Techniques	p. 59
2.4.1 The Ritz Method	p. 60
2.4.2 Galerkin's Method	p. 66
2.5 Epilogue	p. 70
3 Static Aeroelasticity	p. 80
3.1 Wind Tunnel Models	p. 80
3.1.1 Wall-Mounted Model	p. 80
3.1.2 Sting-Mounted Model	p. 84
3.1.3 Strut-Mounted Model	p. 85
3.1.4 Wall-Mounted Model for Application to Aileron Reversal	p. 87
3.2 Uniform Lifting Surface	p. 89
3.2.1 Equilibrium Equation	p. 89
3.2.2 Torsional Divergence	p. 92
3.2.3 Airload Distribution	p. 94
3.2.4 Sweep Effects	p. 96
3.3 Epilogue	p. 109
4 Aeroelastic Flutter	p. 114
4.1 Stability Characteristics	p. 115
4.2 Aeroelastic Analysis of a Typical Section	p. 119
4.3 Classical Flutter Analysis	p. 124
4.3.1 One-Degree-of-Freedom Flutter	p. 126
4.3.2 Two-Degree-of-Freedom Flutter	p. 128
4.4 Engineering Solutions for Flutter	p. 130
4.4.1 The k Method	p. 131
4.4.2 The p-k Method	p. 132
4.5 Unsteady Aerodynamics	p. 136
4.5.1 Theodorsen's Unsteady Thin-Airfoil Theory	p. 137
4.5.2 Finite-State Unsteady Thin-Airfoil Theory of Peters et al.	p. 139
4.6 Flutter Prediction via Assumed Modes	p. 143
4.7 Flutter Boundary Characteristics	p. 147
4.8 Epilogue	p. 151
Appendix Lagrange's Equation	p. 155
A.1 Introduction	p. 155
A.2 Degrees of Freedom	p. 155
A.3 Generalized Coordinates	p. 155
A.4 Lagrange's Equations	p. 156
A.5 Lagrange's Equations for Conservative Systems	p. 160
A.6 Lagrange's Equations for Nonconservative Systems	p. 162
References	p. 164
Index	p. 167

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