Preface
List of Symbols
Non-Dimensional Forms of the Aerodynamic Derivatives Used in America
Units
Part I Flight Dynamics
Chapter 1 Introduction
The General Meaning of Stability
Longitudinal Static Stability
Static Margin
Stability and Trim
Maneuverability and Maneuver Margin
Chapter 2 The Equations of Motion
The General Dynamical Equations for a Rigid Aircraft Referred to Moving Axes
Equations of Motion for Small Disturbances of a Symmetric Aircraft
Definition of the Angles of Pitch, Bank and Yaw
Relations for the Rate of Roll, Pitch and Yaw
Determination of the Gravitational Forces
Angles of Yaw and Sideslip
Determination of the Aerodynamic Forces
Separability of Longitudinal and Lateral Motion
Axis Systems Used in Stability Analysis
Non-Dimensional Aerodynamic Derivatives
Non-Dimensional Disturbances, Mass and Inertia
Non-Dimensional Form of the Equations of Motion
Motion of the Center of Gravity of the Aircraft
Chapter 3 Aerodynamic Derivatives (Longitudinal)
Force Velocity Derivatives Xu, Xw, Zu, Zw
Pitching Moment Derivatives Mu, Mw
Derivatives Due to Rate of Pitch Xq, Zq, Mq
Derivatives Due to Rate of Change of Downward Velocity Xw, Zw, Mw
Control Derivatives
Non-Dimensional Forms of the Aerodynamic Derivatives Used in America
Chapter 4 Aerodynamic Derivatives (Lateral)
Derivatives Due to Sideslip Lv, Nv, Yv
Derivatives Due to Rate of Roll Lp, Np, Yp
Derivatives Due to Rate of Yaw Lr, Nr, Yr
Control Derivatives
Non-Dimensional Forms of the Aerodynamic Derivatives Used in America
Part II - Longitudinal Dynamic Stability and Response
Chapter 5 Basic Longitudinal Motions
The Short Period Oscillation
The Phugoid Oscillation
Chapter 6 Longitudinal Dynamic Stability
Stick Fixed Dynamic Stability
The General Solution of the Equations of Motion
Types of Motion Corresponding to the Roots of the Characteristic Equation
Analysis of the Roots of the Characteristic Equation
Dynamic Stability Criteria
Routh's Discriminant
The Coefficient E1
Stability Diagrams
Root-Locus Plot
Longitudinal Dynamic Stability of High Speed Aircraft
Chapter 7 Longitudinal Response
Classical Method of Solution
Operational Methods
Response of an Aircraft to a Simple Initial Symmetric Disturbance
Example of a Complete Solution
Response of an Aircraft to Application of the Elevator
Artificial Stability and Automatic Control
General Theory of Automatic Control
Open and Closed Loop Systems
Dynamic Stability with Some Simple Types of Automatic Control
Response with Automatic Control
Chapter 8 Response to Gusts
Simplified Treatment of Gust Loads
Effect of Unsteady Flow
Effect of Pitching
Response to Sinusoidal Gusts
Frequency Response Functions
Air Turbulence
Part III - Lateral Dynamic Stability and Response
Chapter 9 Basic Lateral Motions
The Yawing Oscillation
The Pure Rolling Motion
The Slow Spiral Motion
Chapter 10 Lateral Dynamic Stability
Stick Fixed Dynamic Stability
Types of Motion Corresponding to the Roots of the Characteristic Equation
Analysis of the Roots of the Characteristic Equation
Stability Diagrams
High Speed Characteristics
Low Speed Characteristics
Period and Damping of the Lateral Motions
Factors Affecting the Choice of Lv and Nv
Lateral Dynamic Stability of High Speed Aircraft
Chapter 11 Lateral Response
Methods of Solving the Equations of Motion
Response to a Side Gust
Response of an Aircraft to Application of the Ailerons and Rudder
Fin Stalling
Effect of Engine Failure
Minimum Control Speed
Frequency Response Analysis
Artificial Stability and Automatic Control
Open and Closed Loop Systems
Dynamic Stability with Some Simple Types of Automatic Control
Response with Automatic Control
Part IV - Modern Developments
Chapter 12 Effects of Aeroelasticity, Dynamic Coupling and High Incidence
Aeroelasticity
The Equations of Motion of a Deformable Aircraft
Methods of Solution of the Aeroelastic Equations
Effects of Aeroelasticity on Dynamic Stability and Response
Dynamic Coupling
Equations of Motion
The Linearized Equations of Motion of an Aircraft in a Rapid Roll
The Stability of an Aircraft in a Rapid Roll at Constant Speed
Critical Stability Criterion
Stability Diagrams
High Incidence Aerodynamics
Longitudinal Motion at High Incidence
Aerodynamic Coupling at High Incidence
Equations of Angular Motion
Angles of Incidence and Sideslip
Stability Analysis at Non-Zero Angle of Sideslip
Part V - Stability and Design
Chapter 13 Estimation of Dynamic Stability Characteristics
Details of the Aircraft Considered
Aerodynamic Data
Stick Fixed Longitudinal Static Stability
Aerodynamic Derivatives
Longitudinal Dynamic Stability
Lateral Dynamic Stability
Appendices
Appendix 1 The Equations of Motion of a Rigid Body
Moving Axes
Components of Velocity and Acceleration Referred to Moving Axes
D'Alembert's Principle
Equations of Motion for a Rigid Body
Appendix 2 Methods of Solving the Stability Quartic, and Determination of Dynamic Stability Criteria
Longitudinal Stability
Lateral Stability
Ferrari's Method
Dynamic Stability Criteria