Cover image for Flight dynamics principles : a linear systems approach to aircraft stability and control
Title:
Flight dynamics principles : a linear systems approach to aircraft stability and control
Personal Author:
Series:
Elsevier aerospace engineering series
Edition:
2nd ed.
ISBN:
9780750669276

9788131223352
Subject Term:

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Summary

Summary

The study of flight dynamics requires a thorough understanding of the theory of the stability and control of aircraft, an appreciation of flight control systems and a comprehensive grounding in the theory of automatic control. Flight Dynamics Principles provides all three in an accessible and student focussed text. Written for those coming to the subject for the first time the book is suitable as a complete first course text. It provides a secure foundation from which to move on to more advanced topics such a non-linear flight dynamics, simulation and advanced flight control, and is ideal for those on course including flight mechanics, aircraft handling qualities, aircraft stability and control. Enhances by detailed worked examples, case studies and aircraft operating condition software, this complete course text, by a renowned flight dynamicist, is widely used on aircraft engineering courses


Author Notes

After graduating Michael Cook joined Elliott Flight Automation as a Systems Engineer and contributed flight control systems design to several major projects. Later he joined the College of Aeronautics to research and teach flight dynamics, experimental flight mechanics and flight control. Previously leader of the Dynamics, Simulation and Control Research Group he is now retired and continues to provide part time support. In 2003 the Group was recognised as the Preferred Academic Capability Partner for Flight Dynamics by BAE SYSTEMS and in 2007 he received a Chairman's Bronze award for his contribution to a joint UAV research programme.


Table of Contents

Preface to the first editionp. ix
Preface to the second editionp. xi
Acknowledgementsp. xiii
Nomenclaturep. xv
1 Introductionp. 1
1.1 Overviewp. 1
1.2 Flying and handling qualitiesp. 3
1.3 General considerationsp. 4
1.4 Aircraft equations of motionp. 7
1.5 Aerodynamicsp. 7
1.6 Computersp. 8
1.7 Summaryp. 10
Referencesp. 11
2 Systems of axes and notationp. 12
2.1 Earth axesp. 12
2.2 Aircraft body fixed axesp. 13
2.3 Euler angles and aircraft attitudep. 18
2.4 Axes transformationsp. 18
2.5 Aircraft reference geometryp. 24
2.6 Controls notationp. 27
2.7 Aerodynamic reference centresp. 28
Referencesp. 30
Problemsp. 30
3 Static equilibrium and trimp. 32
3.1 Trim equilibriump. 32
3.2 The pitching moment equationp. 40
3.3 Longitudinal static stabilityp. 44
3.4 Lateral static stabilityp. 53
3.5 Directional static stabilityp. 54
3.6 Calculation of aircraft trim conditionp. 57
Referencesp. 64
Problemsp. 64
4 The equations of motionp. 66
4.1 The equations of motion of a rigid symmetric aircraftp. 66
4.2 The linearised equations of motionp. 73
4.3 The decoupled equations of motionp. 79
4.4 Alternative forms of the equations of motionp. 82
Referencesp. 95
Problemsp. 96
5 The solution of the equations of motionp. 98
5.1 Methods of solutionp. 98
5.2 Cramer's rulep. 99
5.3 Aircraft response transfer functionsp. 101
5.4 Response to controlsp. 108
5.5 Acceleration response transfer functionsp. 112
5.6 The state space methodp. 114
5.7 State space model augmentationp. 128
Referencesp. 134
Problemsp. 134
6 Longitudinal dynamicsp. 138
6.1 Response to controlsp. 138
6.2 The dynamic stability modesp. 144
6.3 Reduced order modelsp. 147
6.4 Frequency responsep. 158
6.5 Flying and handling qualitiesp. 165
6.6 Mode excitationp. 167
Referencesp. 170
Problemsp. 171
7 Lateral-directional dynamicsp. 174
7.1 Response to controlsp. 174
7.2 The dynamic stability modesp. 183
7.3 Reduced order modelsp. 188
7.4 Frequency responsep. 195
7.5 Flying and handling qualitiesp. 200
7.6 Mode excitationp. 202
Referencesp. 206
Problemsp. 206
8 Manoeuvrabilityp. 210
8.1 Introductionp. 210
8.2 The steady pull-up manoeuvrep. 212
8.3 The pitching moment equationp. 214
8.4 Longitudinal manoeuvre stabilityp. 216
8.5 Aircraft dynamics and manoeuvrabilityp. 222
Referencesp. 223
9 Stabilityp. 224
9.1 Introductionp. 224
9.2 The characteristic equationp. 227
9.3 The Routh-Hurwitz stability criterionp. 227
9.4 The stability quarticp. 231
9.5 Graphical interpretation of stabilityp. 234
Referencesp. 238
Problemsp. 238
10 Flying and handling qualitiesp. 240
10.1 Introductionp. 240
10.2 Short term dynamic modelsp. 241
10.3 Flying qualities requirementsp. 249
10.4 Aircraft rolep. 251
10.5 Pilot opinion ratingp. 255
10.6 Longitudinal flying qualities requirementsp. 256
10.7 Control anticipation parameterp. 260
10.8 Lateral-directional flying qualities requirementsp. 263
10.9 Flying qualities requirements on the s-planep. 266
Referencesp. 271
Problemsp. 272
11 Stability augmentationp. 274
11.1 Introductionp. 274
11.2 Augmentation system designp. 280
11.3 Closed loop system analysisp. 283
11.4 The root locus plotp. 287
11.5 Longitudinal stability augmentationp. 293
11.6 Lateral-directional stability augmentationp. 300
11.7 The pole placement methodp. 311
Referencesp. 316
Problemsp. 316
12 Aerodynamic modellingp. 320
12.1 Introductionp. 320
12.2 Quasi-static derivativesp. 321
12.3 Derivative estimationp. 323
12.4 The effects of compressibilityp. 327
12.5 Limitations of aerodynamic modellingp. 335
Referencesp. 336
13 Aerodynamic stability and control derivativesp. 337
13.1 Introductionp. 337
13.2 Longitudinal aerodynamic stability derivativesp. 337
13.3 Lateral-directional aerodynamic stability derivativesp. 350
13.4 Aerodynamic control derivativesp. 371
13.5 North American derivative coefficient notationp. 377
Referencesp. 385
Problemsp. 385
14 Coursework Studiesp. 390
14.1 Introductionp. 390
14.2 Working the assignmentsp. 390
14.3 Reportingp. 390
Assignment 1 Stability augmentation of the North American X-15 hypersonic research aeroplanep. 391
Assignment 2 The stability and control characteristics of a civil transport aeroplane with relaxed longitudinal static stabilityp. 392
Assignment 3 Lateral-directional handling qualities design for the Lockheed F-104 Starfighter aircraftp. 396
Assignment 4 Analysis of the effects of Mach number on the longitudinal stability and control characteristics of the LTV A7-A Corsair aircraftp. 401
Appendices
1 AeroTrim - A Symmetric Trim Calculator for Subsonic Flight Conditionsp. 405
2 Definitions of Aerodynamic Stability and Control Derivativesp. 412
3 Aircraft Response Transfer Functions Referred to Aircraft Body Axesp. 419
4 Units, Conversions and Constantsp. 425
5 A Very Short Table of Laplace Transformsp. 426
6 The Dynamics of a Linear Second Order Systemp. 427
7 North American Aerodynamic Derivative Notationp. 431
8 Approximate Expressions for the Dimensionless Aerodynamic Stability and Control Derivativesp. 434
9 The Transformation of Aerodynamic Stability Derivatives from a Body Axes Reference to a Wind Axes Referencep. 438
10 The Transformation of the Moments and Products of Inertia from a Body Axes Reference to a Wind Axes Referencep. 448
11 The Root Locus Plotp. 451
Indexp. 457