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Contents

Cover

Title Page

Copyright

Foreword

Introduction I.1. Definition of axes

1 Use of Aerodynamic Forces to Control the Trajectory of an Aircraft 1.1. Definitions 1.2. Pitch control 1.3. Yaw control 1.4. Roll control 1.5. The Mach: subsonic, transonic and supersonic speeds

2 Aerodynamic Forces and Moments and their Derivatives 2.1. Definitions 2.2. Aerodynamic forces 2.3. Aerodynamic moments 2.4. Major aerodynamic derivatives

3 Wind Tunnel 3.1. Description of wind tunnel tests 3.2. Stall 3.3. Calculation of the maximum stress applied to an aircraft wing in a wind tunnel

4 Trihedron 4.1. Writing convention 4.2. Definitions of trihedrons 4.3. Change of reference 4.4. Relation between trihedra 4.5. Relative positions of the various trihedra

10  5 Movement of a Solid 5.1. Rotation of a solid around a fixed point 5.2. Kinematics of a solid 5.3. Reference framework 5.4. Components of the instantaneous velocity vector of the aircraft reference (O, ie, je, ke)E with respect to the local geographic reference (O, ilgt, jlgt, klgt)LGT in the aircraft reference 5.5. Equations of accelerations and forces in the aircraft frame(O, ie, je, ke)E 5.6. Determination of load factors in the aircraft reference (O, ie, je, ke)E 5.7. Case where the speeds and accelerations are provided at a point other than G 5.8. Coordinates of the aerodynamic speed in aircraft axes 5.9. Equations of moments in the aircraft frame (O, ie, je, ke)E 5.10. Forces and moments applied to the aircraft

11  6 Aircraft Characteristics 6.1. Aerodynamics problems posed by aircraft 6.2. Load factor

12  7 Aircraft Simulation Model 7.1. Simulation model of the atmosphere 7.2. Propulsive coefficients 7.3. Mass coefficients 7.4. Aerodynamic coefficients 7.5. Equations of motion 7.6. Introduction of wind

13  8 Processing of Trajectography Information 8.1. Telemeasured parameters 8.2. Smoothing, first derivation and second derivation 8.3. Performance calculation 8.4. Aerodynamic route and slope 8.5. Determination of the angle Ψ 8.6. Load factors in the aerodynamic trihedron (O, Xa,Yaf, Zr) 8.7. Processing of data from the inertial unit (in the aircraft frame) 8.8. Determination of some aerodynamic parameters 8.9. Determination of load factors (nx1, ny1, nz1) in the aircraft trihedron 8.10. Determination of CY and Cz 8.11. Determination of the total incidence 8.12. Determination of the longitudinal attitude compared to the local horizontal plane 8.13. Determination of drag coefficients 8.14. Determination of the pushing force

14  9 Quaternion Methods 9.1. Goal 9.2. Reminder of the axis change formulas using Euler angles 9.3. Olinde-Rodrigues’s formulas: definition of quaternions

15  Glossary

16  List of Abbreviations

17  References

18  Index

19  End User License Agreement

List of Illustrations

1 IntroductionFigure I.1. Direct trihedronFigure I.2. Roll axis (rotation around the X axis)Figure I.3. Yaw axis (rotation around the Z axis)Figure I.4. Pitch axis (rotation around the Y axis)

2 Chapter 1Figure 1.1. Horizontal plate. For a color version of this figure, see www.iste.c...Figure 1.2. Inclined plate. For a color version of this figure, see www.iste.co....Figure 1.3. Aerodynamic resultant. For a color version of this figure, see www.i...Figure 1.4. Trihedron related to the aircraft’s center of gravityFigure 1.5. Wing section. For a color version of this figure, see www.iste.co.uk...Figure 1.6. LiftFigure 1.7. DragFigure 1.8. Deflection of air streams. For a color version of this figure, see w...Figure 1.9. Effects of induced velocityFigure 1.10. Lift distributionFigure 1.11. Equilibrium in horizontal flightFigure 1.12. Lateral stabilityFigure 1.13. Induced roll motionFigure 1.14. Load factorFigure 1.15. Pitch controlFigure 1.16. Balanced level flightFigure 1.17. Negative pitchFigure 1.18. Positive pitchFigure 1.19. Yaw controlFigure 1.20. Zero yawFigure 1.21. Right yawFigure 1.22. Left yawFigure 1.23. Roll controlFigure 1.24. Right rollFigure 1.25. Left roll

3 Chapter 2Figure 2.1. Marginal vortices

4 Chapter 3Figure 3.1. Wind tunnel testFigure 3.2. Evolution of lift as a function of the angle of attackFigure 3.3. Model in wind tunnel

5 Chapter 4Figure 4.1. Reference trihedra of the machine. Passage from the aircraft referen...Figure 4.2. Reference trihedrons linked to the plane and the trajectory. In blac...Figure 4.3. Reference trihedra defining the angular position of the aircraft in ...Figure 4.4. Position of the aircraft trihedron with respect to the reference tri...Figure 4.5. Position of the aerodynamic trihedron with respect to the terrestria...Figure 4.6. Position of the aerodynamic trihedron with respect to the aircraft t...Figure 4.7. Position of the aircraft trihedron in relation to the balance trihed...

6 Chapter 5Figure 5.1. Rotation of a solid around a fixed point. For a color version of thi...Figure 5.2. Kinematics of a solidFigure 5.3. Change of reference frameworkFigure 5.4. Instantaneous velocity vector componentsFigure 5.5. Solid admitting planes of symmetry

7 Chapter 8Figure 8.1. Trihedron related to the route and the aerodynamic slope. The points...Figure 8.2. Aerodynamic speed trihedron. The points (Xa, X2, Ya, Y1), (XaF, Xh, ...Figure 8.3. Trihedron linked to local vertical. For a color version of this figu...

8 Chapter 9Figure 9.1. Rotation axis Δ. For a color version of this figure, see www.iste.co...Figure 9.2. Quaternion trihedrons

Guide

Cover

Table of Contents

Title Page

Copyright

Foreword

Introduction

Begin Reading

Glossary

List of Abbreviations

10  References

11  Index

12  End User License Agreement

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Dynamics of Aircraft Flight

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