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Flight Dynamics
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Table of Contents

* Preface * 1. Introduction * Elements of the Airplane * Airframe Components * Propulsion Systems * Representative Flight Vehicles * Light General Aviation Aircraft * Variable-Stability Research Aircraft * Sailplane * Business Jet Aircraft * Turboprop Commuter Aircraft * Small Commercial Transport Aircraft * Large Commercial Transport Aircraft * Supersonic Transport Aircraft * Fighter/Attack Aircraft * Bomber Aircraft * Space Shuttle * Uninhabited Air Vehicle * The Mechanics of Flight * References for Chapter 1 * 2. Exploring the Flight Envelope * The Earth's Atmosphere * Pressure, Density, and the Speed of Sound * Viscosity, Humidity, and Rain * Wind Fields and Atmospheric Turbulence * Kinematic Equations * Translational Position and Velocity * Angular Orientation and Rate * Airflow Angles * Summary of Axis Systems and Transformations * Forces and Moments * Alternative Axis Systems * Aerodynamic Forces and Moments * Static Aerodynamic Coefficients * Lift * Drag * Pitching Moment * Side Force * Yawing Moment * Rolling Moment * Ground Effect * Thrusting Characteristics of Aircraft Powerplants * Propellers * Reciprocating Engines * Turboprop, Turbofan, and Turbojet Engines * Ramjet and Scramjet Engines * Steady Flight Performance * Straight-and-Level Flight * Steady Flight Envelope * Cruising Range * Gliding Flight * Climbing Flight * Maneuvering Envelope * Steady Turning Flight * References for Chapter 2 * 3. The Dynamics of Aircraft Motion * Momentum and Energy * Translational Momentum, Work, Energy, and Power * Energy-Changing Maneuvers * Angular Momentum and Energy * Dynamic Equations for a Flat Earth * Rigid-Body Dynamic Equations * Scalar Equations for a Symmetric Aircraft * Alternative Frames of Reference * Inertial Reference Frames * Body-Axis Reference Frames * Velocity- and Wind-Axis Reference Frames * Air-Mass-Relative Reference Frame * Direction Cosines and Quaternions * Acceleration Sensed at an Arbitrary Point * Dynamic Equations for a Round, Rotating Earth * Geometry and Gravity Field of the Earth * Rigid-Body Dynamic Equations * Aerodynamic Effects of Rotational and Unsteady Motion * Pitch-Rate Effects * Angle-of-Attack-Rate Effects * Yaw-Rate Effects * Roll-Rate Effects * Effects of Wind Shear and Wake Vortices * Aerodynamic Effects of Control * Elevators, Stabilators, Elevons, and Canards * Rudders * Ailerons * Spoilers and Flaps * Other Control Devices * Isolated Control Surfaces * Trailing-Edge Flaps * Solution of Nonlinear Differential Equations * Numerical Algorithms for Integration * Equations of Motion * Representation of Data * Trimmed Solution of the Equations of Motion * References for Chapter 3 * 4. Methods of Analysis and Design * Local Linearization of Differential Equations * Stability and Control Derivatives * Incorporating Unsteady Aerodynamic Effects * Symmetric Aircraft in Wings-Level Flight * Longitudinal Equations of Motion * Lateral-Directional Equations of Motion * Stability-Axis Equations of Motion * Solution of Linear Differential Equations * Numerical Integration and State Transition * Static and Quasistatic Equilibrium Response to Inputs * Initial Response to Control Inputs * Controllability and Observability of Motions * Truncation and Residualization * Stability and Modes of Motion * Stability of Transient Response * Fourier and Laplace Transforms * Modes of Aircraft Motion * Phase Plane * Frequency-Domain Analysis * Transfer Functions and Frequency Response * Nyquist Plot and Nichols Chart * Root Locus * Dealing with Uncertainty * Random Variables and Processes * Dynamic Response to Random Inputs and Initial Conditions * Effects of System Parameter Variations * System Survey * Monte Carlo Evaluation * Stochastic Root Locus * Linear Aeroelasticity * Stress, Strain, and Material Properties * Monocoque and Semi-Monocoque Structures * Force and Moments on a Simple Beam * Static Deflection of a Simple Beam under Load * Vibrations of a Simple Beam * Coupled Vibrations of an Elastically Restrained Rigid Airfoil * Vibrations of a Complex Structure * The Four-Block Structure * Fuel Slosh * Introduction to Flying Qualities and Flight Control Systems * Cognitive/Biological Models and Piloting Action * Aircraft Flying Qualities * Linear-Quadratic Regulator * Steady-State Response to Command Input * Implicit Model-Following and Integral Compensation * Optimal State Estimation * Linear-Quadratic-Gaussian Regulator * Design for Stochastic Robustness * References for Chapter 4 * 5. Longitudinal Motions * Longitudinal Equations of Motion * Reduced-Order Models of Long-Period Modes * Second-Order Phugoid-Mode Approximation * Effects of Compressibility * Effects of Altitude Variation * Effects of Wind Shear * Reduced-Order Model of the Short-Period Mode * Second-Order Approximation * Effects of Compressibility and High Angle of Attack * Coupled Phugoid/Short-Period Dynamics * Residualized Phugoid Mode * Fourth-Order Model * Longitudinal Flying Qualities * Control Mechanisms, Stick-Free Stability, and Trim * Elevator Control Mechanism * Short-Period/Control-Mechanism Coupling * Control Force for Trimmed Flight * Elevator Angle and Stick Force per g * "Tail-Wags-Dog" Effect * Longitudinal Aeroelastic Effects * Truncated and Residualized Elastic-Body Models * Coupling of the Short Period with a Single Elastic Mode * References for Chapter 5 * 6. Lateral-Directional Motions * Lateral-Directional Equations of Motion * Reduced-order Model of the Dutch Roll Mode * Reduced-order Model of Roll and Spiral Modes * Coupled Lateral-Directional Dynamics * A Truncated Dutch roll/Roll Model * Residualized Lateral-Directional Models * Fourth-Order Model * Lateral-Directional Flying Qualities * Control Mechanisms, Nonlinearity, and Time Delay * Rudder Control Mechanism * Dutch roll/Rudder Coupling * Quasi-linear Representation of Nonlinearity * Quasi-linear Root Locus Analysis * Roll-Spiral/Aileron Coupling * Spoiler Nonlinearity and Time Delay * Lateral-Directional Aeroelastic Effects * Equilibrium Response to Control * Eigenvalues and Root Locus Analysis of Parameter Variations * Response to Initial Conditions and Step Control Inputs * References for Chapter 6 * 7. Coupled Longitudinal and Lateral-Directional Motions * Small-amplitude Motions * Effects of Rotating Machinery * Asymmetric Inertial and Aerodynamic Properties * Asymmetric Flight Condition and Constant Angular Rate * Coupling Controls * Inertial Coupling of Pitch and Yaw Motions * Fifth-Order Model of Coupled Dynamics * Truncated and Residualized Fourth-Order Models * Response to Controls During Steady Rolling * Multiple Equilibrium Points * Second-order Examples of Multiple Equilibria * Effects of Cross-Coupling and Control on Rolling Equilibrium * Flight at High Angle of Attack * High-Angle-of-Attack Aerodynamics and Control Effects * Fully Developed Spins * Simulated Motions of a Business Jet Aircraft * Stability of High-Angle-of-Attack Maneuvers * Pilot-Aircraft Interactions * Gain-Scheduled Stability and Command Augmentation * Adaptive Neural Network Control * Robust Nonlinear-Inverse-Dynamic Control * References for Chapter 7 * Epilogue * Appendices * Constants, Units, and Conversion Factors * Mathematical Model and Six-Degree-of-Freedom Simulation of a Business Jet Aircraft * Main Program for Analysis and Simulation (FLIGHT) * Low-Angle-of-Attack, Mach-Dependent Model (LoAeroModel) * High-Angle-of-Attack, Low-Subsonic Model (HiAeroModel) * Supporting Functions * Equations of Motion (EoM) * Cost Function for Aerodynamic Trim (TrimCost) * Direction Cosine Matrix (DCM) * Linear System Matrices (LinModel) * Wind Field (WindField) * Atmospheric State (Atmos) * Linear System Survey * Main Program for Analysis and Simulation (SURVEY) * Supporting Functions * Reduced-Order Models (LonLatDir) * Transient Response (Trans) * Static Response (Static) * Controllability and Observability (ConObs) * Natural Frequency (NatFreq) * Stability and Modes of Motion (StabMode) * Paper Airplane Program * Bibliography of NASA Reports Related to Aircraft Configuration Aerodynamics

Promotional Information

A monumental piece of work. Its comprehensive treatment of flight dynamics makes it the broadest in its class and constitutes a major contribution to the aerospace community. Destined for students' shelves as well as mine, it will also be valuable as the methodological companion to the aircraft designer, flight test engineer, and pilot. -- Eric Feron, Massachusetts Institute of Technology This book is definitely a significant contribution to the field. It is more comprehensive than any other work on flight dynamics I have seen; it includes newer concepts, such as neural nets and wind shear effects, some of these reflecting the author's own research; and it gives a very broad view of flight dynamics. Not only is it a fine textbook on flight dynamics, but it is so thorough and so well written that it will undoubtedly catch the attention of practicing engineers and airplane enthusiasts. -- Haim Baruh, Rutgers University

About the Author

Robert F. Stengel is Professor and former Associate Dean of Engineering and Applied Science at Princeton University, where he also directs the Program on Robotics and Intelligent Systems. He is the author of "Optimal Control and Estimation". He was a principal designer of the Apollo Lunar Module manual control logic.

Reviews

"[A] tour de force of a text... This is an ambitious and important work... As the very latest of this genre, Prof. Stengel's hefty volume brings the material up to the minute, tackles more topics with more depth, buttresses its analysis with MATLAB examples, and still does a superb job of stimulating and informing the reader... [I]ts push toward computational synthesis does open a new door for this type of text."--John Hodgkinson, AIAA Journal "This book provides a significant addition to the existing literature on flight mechanics. It deserves to be part of the library of scholars and practicing flight mechanics engineers alike. The use of this text in an undergraduate course would require skilled care but would provide a valuable resource to its owner well past graduation."--Eric Feron, IEEE Control Systems

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