Contents

Foreword

1 Introduction

2 Structural Dynamics

2.1 Uniform String Dynamics

2.1.1 Equations of Motion

2.1.2 Standing Wave (Modal) Solution

2.1.3 Orthogonality of Mode Shapes

2.1.4 Using Orthogonality

2.1.5 Traveling Wave Solution

2.1.6 Generalized Equations of Motion

2.1.7 Generalized Force

2.2 Uniform Beam Torsional Dynamics

2.2.1 Equation of Motion

2.2.2 Boundary Conditions

2.2.3 Example Solutions for Mode Shapes and Frequencies

2.3 Uniform Beam Bending Dynamics

2.3.1 Equation of Motion

2.3.2 General Solutions

2.3.3 Boundary Conditions

2.3.4 Example Solutions for Mode Shapes and Frequencies

2.4 Approximate Solution Techniques

2.4.1 The Ritz Method

2.4.2 Galerkin's Method

2.5 Epilogue

3 Static Aeroelasticity

3.1 Wind Tunnel Models

3.1.1 Wall-Mounted Model

3.1.2 Sting-Mounted Model

3.1.3 Strut-Mounted Model

3.1.4 Wall-Mounted Model for Application to Aileron Reversal

3.2 Uniform Lifting Surface

3.2.1 Equilibrium Equation

3.2.2 Torsional Divergence

3.2.3 Airload Distribution

3.2.4 Sweep Effects

3.3 Epilogue page xi

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