Introduction to Aircraft Aeroelasticity and Loads

Contents

Preface

Introduction

Abbreviations

Part I Background Material

1 Vibration of Single Degree of Freedom Systems

1.1 Setting up equations of motion for single DoF systems

1.2 Free vibration of single DoF systems

1.3 Forced vibration of single DoF systems

1.4 Harmonic forced vibration – frequency response functions

1.5 Transient/random forced vibration – time domain solution

1.6 Transient forced vibration – frequency domain solution

1.7 Random forced vibration – frequency domain solution

1.8 Examples

2 Vibration of Multiple Degree of Freedom Systems

2.1 Setting up equations of motion

2.2 Undamped free vibration

2.3 Damped free vibration

2.4 Transformation to modal coordinates

2.5 ‘Free–free’ systems

2.6 Harmonic forced vibration

2.7 Transient/random forced vibration – time domain solution

2.8 Transient forced vibration – frequency domain solution

2.9 Random forced vibration – frequency domain solution

2.10 Examples

3 Vibration of Continuous Systems – Assumed Shapes Approach

3.1 Rayleigh–Ritz ‘assumed shapes’ method

3.2 Generalized equations of motion – basic approach

3.3 Generalized equations of motion – matrix approach

3.4 Generating aircraft ‘free–free’ modes from ‘branch’ modes

3.5 Whole aircraft ‘free–free’ modes

3.6 Examples

4 Vibration of Continuous Systems – Discretization Approach

4.1 Introduction to the finite element (FE) approach

4.2 Formulation of the beam bending element

4.3 Assembly and solution for a structure with beam elements

4.4 Torsion element

4.5 Combined ...