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James W. Gregory is an associate professor in the Department of Mechanical and Aerospace Engineering, and Associate Director for UAS of the Aerospace Research Center at The Ohio State University. He received his Bachelor of Aerospace Engineering from Georgia Tech, and masters and doctorate degrees in Aeronautics and Astronautics from Purdue University. His research interests focus on development of pressure-sensitive paint as an advanced measurement technique, drag reduction of bluff body wakes via aerodynamic flow control, and flight testing of unmanned aircraft systems. His work experience includes stints at the US Air Force Research Laboratory Air Vehicles Directorate, the US Air Force Academy, Delta Air Lines, NASA Glenn Research Center, Tohoku University in Japan, and as a Fulbright Scholar at the Technion in Israel. He is an instrument-rated private pilot.
Tianshu Liu is a professor and the director of Applied Aerodynamics Laboratory at Western Michigan University. He received a Ph.D. in aeronautics and astronautics from Purdue University in 1996. He was a research scientist at NASA Langley Research Center in 1999-2004. His research areas are experimental and applied aerodynamics and fluid mechanics. In particular, he has contributed to image-based measurement techniques for various physical quantities such as surface pressure, temperature/heat-transfer, skin friction, velocity fields, aeroelastic deformation, and distributed and integrated forces. His topics also include videogrammetry and vision for aerospace applications, flow control, flapping flight, flight vehicle design, turbulence and transition, and flight tests.
About the Authors xiii
Series Preface xv
Preface xvii
Acknowledgements xxi
About the Companion Website xxiii
1 Introduction 1
1.1 Case Study: Supersonic Flight in the Bell XS-1 3
1.2 Types of Flight Testing 9
1.2.1 Scientific Research 9
1.2.2 Experimental Flight Test 12
1.2.3 Developmental Test and Evaluation 14
1.2.4 Operational Test and Evaluation 14
1.2.5 Airworthiness Certification 15
1.3 Objectives and Organization of this Book 17
Nomenclature 18
Acronyms and Abbreviations 19
References 19
2 The Flight Environment: Standard Atmosphere 22
2.1 Earth's Atmosphere 23
2.2 Standard Atmosphere Model 24
2.2.1 Hydrostatics 24
2.2.2 Gravitational Acceleration and Altitude Definitions 25
2.2.3 Temperature 26
2.2.4 Viscosity 27
2.2.5 Pressure and Density 28
2.2.6 Operationalizing the Standard Atmosphere 29
2.2.7 Comparison with Experimental Data 30
2.3 Altitudes Used in Aviation 32
Nomenclature 34
Subscripts 34
Acronyms and Abbreviations 35
References 35
3 Aircraft and Flight Test Instrumentation 36
3.1 Traditional Cockpit Instruments 36
3.1.1 Gyroscopic-Based Instruments 38
3.1.2 Pressure-Based Instruments 38
3.1.3 Outside Air Temperature 41
3.1.4 Other Instrumentation 42
3.2 Glass Cockpit Instruments 42
3.3 Flight Test Instrumentation 45
3.3.1 Global Navigation Satellite System 46
3.3.2 Accelerometers 49
3.3.3 Gyroscopes 49
3.3.4 Magnetometers 50
3.3.5 Barometer 51
3.3.6 Fusion of Sensor Data Streams 51
3.4 Summary 52
Nomenclature 54
Subscripts 54
Acronyms and Abbreviations 54
References 55
4 Data Acquisition and Analysis 56
4.1 Temporal and Spectral Analysis 56
4.2 Filtering 61
4.3 Digital Sampling: Bit Depth Resolution and Sample Rate 63
4.4 Aliasing 66
4.5 Flight Testing Example 69
4.6 Summary 69
Nomenclature 70
Subscripts 70
Acronyms and Abbreviations 70
References 71
5 Uncertainty Analysis 72
5.1 Error Theory 73
5.1.1 Types of Errors 73
5.1.2 Statistics of Random Error 76
5.1.3 Sensitivity Analysis and Uncertainty Propagation 77
5.1.4 Overall Uncertainty Estimate 79
5.1.5 Chauvenet's Criterion for Outliers 79
5.1.6 Monte Carlo Simulation 80
5.2 Basic Error Sources in Flight Testing 81
5.2.1 Uncertainty of Flight Test Instrumentation 81
5.2.2 Example: Uncertainty in Density (Traditional Approach) 85
5.2.3 Example: Uncertainty in True Airspeed (Monte Carlo Approach) 86
Nomenclature 88
Subscripts 89
Acronyms and Abbreviations 89
References 89
6 Flight Test Planning 90
6.1 Flight Test Process 90
6.2 Risk Management 93
6.3 Case Study: Accept No Unnecessary Risk 96
6.4 Individual Flight Planning 97
6.4.1 Flight Area and Airspace 98
6.4.2 Weather and NOTAMs 99
6.4.3 Weight and Balance 100
6.4.4 Airplane Pre-Flight 103
6.5 Conclusion 105
Nomenclature 105
Acronyms and Abbreviations 105
References 105
7 Drag Polar Measurement in Level Flight 107
7.1 Theory 107
7.1.1 Drag Polar and Power Required for Level Flight 107
7.1.2 The PIW-VIW Method 112
7.1.3 Internal Combustion Engine Performance 114
7.1.4 Propeller Performance 119
7.2 Flight Testing Procedures 124
7.3 Flight Test Example: Cirrus SR20 125
Nomenclature 127
Acronyms and Abbreviations 129
References 129
8 Airspeed Calibration 132
8.1 Theory 132
8.1.1 True Airspeed 134
8.1.2 Equivalent Airspeed 134
8.1.3 Calibrated Airspeed 135
8.1.4 Indicated Airspeed 137
8.1.5 Summary 137
8.2 Measurement Errors 138
8.2.1 Instrument Error 138
8.2.2 System Lag 138
8.2.3 Position Error 139
8.3 Airspeed Calibration Methods 142
8.3.1 Boom-Mounted Probes 143
8.3.2 Trailing Devices and Pacer Aircraft 143
8.3.3 Ground-Based Methods 145
8.3.4 Global Positioning System Method 145
8.4 Flight Testing Procedures 147
8.5 Flight Test Example: Cirrus SR20 148
Nomenclature 150
Subscripts 151
Acronyms and Abbreviations 151
References 151
9 Climb Performance and Level Acceleration to Measure Excess Power 153
9.1 Theory 153
9.1.1 Steady Climbs 154
9.1.2 Energy Methods 160
9.2 Flight Testing Procedures 165
9.2.1 Direct Measurement of Rate of Climb 165
9.2.2 Measurement of Level Acceleration 166
9.3 Data Analysis 167
9.4 Flight Test Example: Cirrus SR20 168
Nomenclature 172
Subscripts 173
Acronyms and Abbreviations 173
References 174
10 Glide Speed and Distance 175
10.1 Theory 176
10.1.1 Drag Polar 176
10.1.2 Gliding Flight 179
10.1.3 Glide Hodograph 180
10.1.4 Best Glide Condition 181
10.2 Flight Testing Procedures 183
10.3 Data Analysis 185
10.4 Flight Test Example: Cirrus SR20 186
Nomenclature 188
Subscripts 188
Acronyms and Abbreviations 189
References 189
11 Takeoff and Landing 190
11.1 Theory 190
11.1.1 Takeoff Ground Roll 191
11.1.2 Landing Ground Roll 193
11.1.3 Rotation Distance 194
11.1.4 Transition Distance 194
11.1.5 Climb Distance 195
11.1.6 Total Takeoff and Landing Distances 195
11.1.7 Simple Estimations 195
11.2 Measurement Methods 196
11.3 Flight Testing Procedures 197
11.3.1 Standard Flight Procedures 197
11.3.2 Flight Test Procedures 199
11.3.3 Data Acquisition 200
11.3.4 Data Analysis 200
11.4 Flight Test Example: Cessna R182 201
Nomenclature 202
Subscripts 203
Acronyms and Abbreviations 204
References 204
12 Stall Speed 205
12.1 Theory 206
12.1.1 Viscous Boundary Layers 207
12.1.2 Flow Separation 208
12.1.3 Two-Dimensional Stall Characteristics 209
12.1.4 Three-Dimensional Stall Characteristics 211
12.1.5 Stall Control 211
12.1.6 Stall Prediction 213
12.2 Flight Testing Procedures 214
12.2.1 Flight Characteristics 214
12.2.2 Data Acquisition 216
12.3 Data Analysis 217
12.4 Flight Test Example: Cirrus SR20 219
Nomenclature 221
Subscripts 222
Acronyms and Abbreviations 222
References 222
13 Turning Flight 224
13.1 Theory 224
13.2 Flight Testing Procedures 232
13.2.1 Airworthiness Certification 232
13.2.2 Educational Flight Testing 233
13.2.3 Piloting 233
13.2.4 Instrumentation and Data Recording 234
13.3 Flight Test Example: Diamond DA40 235
Nomenclature 236
Subscripts 237
Acronyms and Abbreviations 237
References 237
14 Longitudinal Stability 238
14.1 Static Longitudinal Stability 238
14.1.1 Theory 238
14.1.2 Trim Condition 242
14.1.3 Flight Testing Procedures 244
14.1.4 Flight Test Example: Cirrus SR20 245
14.2 Dynamic Longitudinal Stability 246
14.2.1 Theory 246
14.2.2 Flight Testing Procedures 254
14.2.3 Flight Test Example: Cirrus SR20 255
Nomenclature 257
Subscripts 259
Acronyms and Abbreviations 259
References 259
15 Lateral-Directional Stability 261
15.1 Static Lateral-Directional Stability 261
15.1.1 Theory 261
15.1.2 Directional Stability 264
15.1.3 Lateral Stability 265
15.1.4 Flight Testing Procedures 266
15.1.5 Flight Testing Example: Cirrus SR20 267
15.2 Dynamic Lateral-Directional Stability 269
15.2.1 Theory 269
15.2.2 Flight Testing Procedures 272
15.2.3 Flight Test Example: Cirrus SR20 272
Nomenclature 274
Acronyms and Abbreviations 275
References 275
16 UAV Flight Testing 277
16.1 Overview of Unmanned Aircraft 277
16.2 UAV Design Principles and Features 279
16.2.1 Types of Airframes 280
16.2.2 UAV System Architecture 281
16.2.3 Electric Propulsion 285
16.2.4 Command and Control (C2) Link 286
16.2.5 Autonomy 287
16.3 Flight Regulations 288
16.4 Flight Testing Principles 288
16.4.1 Air Data Instrumentation 289
16.4.2 UAV Flight Test Planning 290
16.4.3 Piloting for UAV Flight Testing 290
16.5 Flight Testing Examples with the Peregrine UAS 291
16.5.1 Overview of the Peregrine UAS 291
16.5.2 Propulsion System Characterization 293
16.5.3 Specific Excess Power: Level Acceleration and Rate of Climb 294
16.5.4 Glide Flight Tests 296
16.6 Flight Testing Examples with the Avanti UAS 299
16.6.1 Overview of the Avanti UAS 299
16.6.2 Coast-Down Testing for the Drag Polar 301
16.6.3 Radio Range Testing 303
16.6.4 Assessment of Autonomous System Performance 305
16.7 Conclusion 305
Nomenclature 307
Acronyms and Abbreviations 307
References 308
Appendix A Standard Atmosphere Tables 310
Appendix B Useful Constants and Unit Conversion Factors 313
Reference 317
Appendix C Stability and Control Derivatives for a Notional GA Aircraft 318
Reference 319
Index 321
Flight testing is seemingly the stuff of legends, with tales of derring-do and bravery, spearheaded by great pilots such as Yeager, Armstrong, Glenn, and others. But what exactly is flight testing all about? What is being tested, and why? What's the difference between a test pilot and a flight test engineer? Is flight testing an inherently dangerous or risky activity?
With this book, we hope to show that flight testing is both exciting and accessible - we hope to make flight testing understandable and achievable by the typical undergraduate aerospace engineering student. The basic principles of flight testing can be explored in any aircraft, all the while remaining safely well within the standard operating envelope of an aircraft. This book will introduce students to the principles that experienced flight test engineers work with as they evaluate new aircraft systems.
Flight testing is all about determining or verifying the performance and handling qualities of an aircraft. These flight characteristics may be predicted in the design and development stages of a new aircraft program, but we never really know the exact capabilities until the full system is flown and tested. Most aircraft flight testing programs are focused on airworthiness certification, which is the rigorous demonstration of all facets of the flight vehicle's performance and handling characteristics in order to ensure safety of flight.
We also wish to highlight that most flight testing should not incur the levels of risk and danger that we associate with the great test pilots of the 20th century. Their bravery was indeed laudable, since they ventured into flight that no human had done before, such as breaking the "sound barrier" or being the first person to walk on the Moon. But, if done correctly, flight testing should be a methodical process where risks are managed at an acceptable level, where human life and property are not exposed to undue risk. Even more hazardous flight testing such as flutter boundary determination or spin recovery should be done in a methodical, well-controlled manner that mitigates risk. In fact, most flight testing, at least to an experienced professional, can be almost mundane (Corda 2017).
Nor is flight testing an individualistic activity where an intrepid pilot relies solely on their superlative piloting skills to push the aircraft to its limits, as suggested by the caricature in Figure 1.1. Quite the contrary, flight testing is a team effort with many individuals carefully contributing to the overall success of a flight testing program (see Figure 1.2). There is, of course, a pilot involved whose job it is to fly the aircraft as precisely and accurately as possible to put the aircraft through the necessary maneuvers to extract the needed performance or handling data. If an aircraft can carry more than just the pilot, then there is almost always a flight test engineer on board. The flight test engineer is responsible for preparing the plan for the flight test and for acquiring the data in flight while the pilot puts the aircraft through the required maneuvers. Beyond the role of the flight test engineer, there are many others involved - including those who monitor systems and downlinked data on the ground, data analysts who post-process and interpret the data after the test is complete, and program managers who set the strategic direction for the program and make budgetary decisions.
Figure 1.1 The caricature view of flight test is of an individualistic, cowboy-like, rugged test pilot who single-handedly defies danger. Here, Joe Walker playfully boards the Bell X-1A in a moment of levity.
Source: NASA.
Figure 1.2 A more realistic view of the people behind flight testing - a team effort is required to promote safety and professionalism of flight. Depicted here is the team of NACA scientists and engineers who supported the XS-1 flight test program.
Flight testing is a critical endeavor in the overall design cycle of a new aircraft system. The main objective is to prove out the assumptions that are inherent to every design process and to discover any hidden anomalies in the performance of the aircraft system. Aircraft design typically proceeds by drawing upon historical data to estimate the performance of a new aircraft concept, but there is always uncertainty in those design estimates. The initial stages of design have very crude estimates made for a wide range of parameters and theories applied to the design. Over time, the design team reduces the uncertainty in the design by refining the analysis with improved design tools and higher-fidelity (more expensive!) analysis, wind tunnel testing, and ground testing of functional systems and even the entire aircraft. But, then the moment of truth always comes, where it is time for first flight of the aircraft. It is at this point that the flight test team documents the true performance of the airplane. If differences arise between actual and predicted performance, minor tweaks to the design may be needed (e.g., the addition of vortex generators on the wings). Also, the insight gleaned from flight testing is documented and fed back into the design process for future aircraft.
This chapter will provide a brief overview of the flight testing endeavor through a historical anecdote that illustrates the key outcomes of flight testing, how flight testing is actually done, and the roles of all involved. Following this, we'll take a look at the various kinds of flight testing that are done, with a particular emphasis on airworthiness certification of an aircraft, which is the main objective of many flight testing programs. We'll then conclude this chapter with an overview of the rest of the book, including our objectives in writing this book and what we hope the reader will glean from this text.
A great way to learn about the essential elements of a successful flight test program is to look at a historical case study. We'll consider the push by the Army Air Forces (AAF) in 1947 to fly an aircraft faster than the speed of sound. Along the way, we'll pick up some insight into how flight testing is done and some of the values and principles of the flight test community.
At the time, many scientists and engineers did not think that supersonic flight could be achieved. They observed significant increases in drag as the flight speed increased. On top of that, there were significant loss-of-control incidents where pilots found that their aircraft could not be pulled out of a high-speed dive. These highly publicized incidents led some to conclude that the so-called "sound barrier" could not be broken. We now know, however, that this barrier only amounted to a lack of insight into the physics of shock-boundary layer interaction, shock-induced separation, and the transonic drag rise, along with a lack of high-thrust propulsion sources to power through the high drag. Scientific advancements in theoretical analysis, experimental testing, and flight testing, along with engineering advancements in propulsion and airframe design, ultimately opened the door to supersonic flight.
In a program kept out of public sight, the U.S. Army Air Forces, the National Advisory Committee for Aeronautics (NACA, the predecessor to NASA), and the Bell aircraft company collaborated on a program to develop the Bell XS-1 with the specific intent of "breaking the sound barrier" to supersonic flight. (Note that the "S" in XS-1 stands for "supersonic"; this letter was dropped early in the flight testing program, leaving us with the commonly known X-1 notation.) The XS-1 (see Figure 1.3) was a fixed-wing aircraft with a gross weight of 12,250 lb, measured 30-ft 11-in. long, had a straight (unswept) wing with an aspect ratio of 6.0 and a span of 28?ft, and an all-moving horizontal tail (a detail that we'll soon see was important!). The XS-1 was powered by a four-chamber liquid-fueled rocket engine producing 6000?lb of thrust. The overarching narrative of the program is well documented in numerous historical and popular sources (e.g., see Young 1997; Gorn 2001; Peebles 2014; Hallion 1972; Hallion and Gorn 2003; or Wolfe 1979), but we'll pick up the story in the latter stages of the flight test program at Muroc Army Airfield, positioned on the expansive Rogers Dry Lake bed that is today the home of Edwards Air Force Base and NASA Armstrong Flight Research Center.
Figure 1.3 Three-view drawing of the Bell XS-1.
Source: NASA, X-1/XS-1 3-View line art. Available at http://www.dfrc.nasa.gov/Gallery/Graphics/X-1/index.html.
The XS-1 had an aggressive flight test schedule, with not too many check-out flights before going for the performance goal of supersonic flight. The extent of the test program was actually a matter of contentious debate between the AAF, the NACA, and Bell. In the end, Bell dropped out of the mix for contractual and financial reasons, and the NACA and AAF proceeded to collaborate on the flight test program. But the continued collaboration was not without tension. The AAF leaders and pilots continually pushed for an...
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