Aircraft Dynamic Stability and Response - 1st Edition - ISBN: 9780080247687, 9781483140353

Aircraft Dynamic Stability and Response

1st Edition

Pergamon International Library of Science, Technology, Engineering and Social Studies

Authors: A. W. Babister
eBook ISBN: 9781483140353
Imprint: Pergamon
Published Date: 1st January 1980
Page Count: 246
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Description

Aircraft Dynamic Stability and Response deals with the fundamentals of dynamic stability in aircraft. Topics covered include flight dynamics, equations of motion, and lateral and longitudinal aerodynamic derivatives. Basic lateral and longitudinal motions are also considered. A non-dimensional system of notation is used, and problems are included at the end of chapters. This book is comprised of 13 chapters and begins with an introduction to aircraft static stability and maneuverability, with emphasis on the theoretical basis of flight dynamics and the technical terms used. The physical background for the estimation of aerodynamic derivatives is discussed. Subsequent chapters focus on the longitudinal and lateral motion of aircraft, including the effect of automatic control; modern developments such as the effects of aeroelasticity, dynamic coupling, and high incidence; and aircraft response to gusts. The final chapter demonstrates how to estimate the aerodynamic derivatives, and hence the dynamic stability characteristics, of a typical fighter aircraft. Throughout the text, the aircraft and its behavior are kept well to the fore. This monograph is intended for undergraduate students of aeronautical engineering and for newcomers to the aircraft industry.

Table of Contents


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

Details

No. of pages:
246
Language:
English
Copyright:
© Pergamon 1980
Published:
Imprint:
Pergamon
eBook ISBN:
9781483140353

About the Author

A. W. Babister