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Slide 1 10/6/04
Control and Stabilityin
Aircraft Conceptual Design
Based on AIAA Paper 93-3968,“Control Authority Assessment in Aircraft Conceptual Design,” byJacob Kay, W. H. Mason, W. Durham, and F. Lutze, Virginia Tech
and: VPI-Aero-200, November 1993, available on the web as apdf file, see the reference on the class web page.
Aerospace andOcean Engineering
W. H. Mason
Gnat
YF-17
T-45
F-104graphics fromJoe Chambers
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Slide 2 10/6/04
The Problem In Conceptual Design
The Flight Controls Guys
(if they’re even there, and worse, they may be EEs!):
“We need a complete 6 DOF, with an aero math modelfrom -90° to + 90° or else forget it”
The Conceptual Designers:
“Just Use the Usual Tail Volume Coefficient”
Exaggerated? —Not That Much!
This class requires a reasonable middle groundbetween these extreme views
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Slide 3 10/6/04
What you need to know and do
• Control and Stability are distinctly different
• You have to develop a policy for each axis:
- stable or unstable? Why?
• You have to decide how you want to control the vehicle
• including the control system concept design
• You have to establish the criteria to determine
the amount of control needed
• You have to have an assessment plan:
-How do you know you have adequate control power?
The story for each design is different, there are no universal cookbook answers
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Slide 4 10/6/04
To do this you need
• stability derivatives
• control derivatives
• weight and mass properties
- the cg range
- the moments of inertia
• flight envelope
- where are the critical conditions?
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Slide 5 10/6/04
Some Guidance
• FAR Part 25 (commercial) and Part 23 (general aviation)– tell you where and under what conditions you have to
demonstrate adequate trim and control
• MIL STD 1797 (replacing the MIL SPEC 8785)– provides quantitative guidance for handling qualities
requirements
• Some control requirements are performance based– rotation at takeoff (trim for seaplanes)
• We have some programs to estimate some control andstability derivatives, and a spreadsheet to assess
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Slide 6 10/6/04
Typical Conceptual & PD Considerations IEquilibrium/Performance Considerations
Normal Trimmed Flight:
• Classical 1G trim
• Longitudinal Maneuvering Flight
• Steady Sideslip
• Engine-Out Trim
• Crosswind landing
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Slide 7 10/6/04
Typical Conceptual & PD Considerations IIDynamic Considerations
• Takeoff and Landing Rotation
• Time-to-Bank
• Inertia Coupling
- Pitch Due to Roll and Yaw Due to Loaded Roll
• Coordinated Velocity Axis Roll
• Short Period and CAP Requirements
• High Angle-of-Attack/Departure
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Slide 8 10/6/04
Typical Conceptual & PD Considerations IIIOther Considerations:
• Gust
• Non-linear Aerodynamics
- High angle of attack
• Aeroelasticity
• Control Allocation for multiple controls
• Special Requirements: weapons separation,stealth, etc.
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Slide 9 10/6/04
Control Authority Assessment Sequence
Design Concept:• Geometry• Mass Properties
AerodynamicsDATCOMComputational Aero(i.e., vortex lattice)
Control Power Evaluation
Requirements:Pass/Fail and why?
Flight Conditions:weight, cg locationspeed, altitudethrust, load factor
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Slide 10 10/6/04
Some PC Tools
• simple flight condition definitions tool
• a vlm code: JKayVLM– longitudinal (& poor lat/dir) S & C derivatives
• three surface & two surf + thrust vector trim code
• a first-cut spreadsheet evaluation of control power.
• New: Drela’s AVL Extended VLM code
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Slide 11 10/6/04
JKayVLMthe Vortex Lattice Method
• follows Katz and Plotkin: vortex rings
• includes ground effects
• define longitudinal & lateral surface separately
- lateral is very crude approximation
• define config as a collection of panels, each with aconstant % chord LE & TE device
• puts 40-50 rings on each panel
• let code step using finite differences to estimate bothstability and control derivatives.
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Slide 12 10/6/04
Single panel:
Note: panel does not have to be in a coordinate plane
Point 1
Point 4
Hinge Line
slat
flap
Point 2
Point 3
%c from LE
%c from TE
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Slide 13 10/6/04
Combine Panel to Model Plane
23
1
4
Section No.Wing1 2Wing2 3Tail1 4Tail2 4
Longitudinal Model(Top View)
Y
X X
Z
Two Tails (m Y Dir.)Total of Four Sections
Lateral/Directional Model(Side View)
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Slide 14 10/6/04
JKayVLM Validation
The following bar charts show the predictions
of JKayVLM with DATCOM and actual values
for an F-18 type configuration
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Slide 15 10/6/04
VLM Code Accuracy: Derivatives
0.00
2.00
4.00
6.00
Mach .2 Mach .6
CLper rad.
Data
lift curve slopeVLM DATCOM
-0.40
-0.20
0.00
0.20
0.40
Mach .2 Mach .6
Cmper rad.
pitching moment slopeData VLM DATCOM
0.0
2.0
4.0
6.0
8.0
Mach .2 Mach .6
staticmargin
static margin, % mean chordData VLM DATCOM
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Slide 16 10/6/04
VLM Code Accuracy: Pitch Rate Derivatives
-10.00
-5.00
0.00
5.00
10.00
Mach .2 Mach .6
Cm q
Pitch DampingData VLM DATCOM
0.00
2.00
4.00
6.00
8.00
10.00
Mach .2 Mach .6
CL q
Data VLM
Lift Due to Pitch RateDATCOM
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Slide 17 10/6/04
VLM Code Accuracy: Derivatives
-0.10-0.08-0.06-0.04-0.020.000.02
Mach .2
Cl
Mach .6
Data
rolling moment due to sideslipVLM DATCOM
0.00
0.05
0.10
0.15
Mach .2 Mach .6
Cn
Data
yawing moment due to sideslipVLM DATCOM
-1.50
-1.00
-0.50
0.00
0.50
Mach .2 Mach .6
CY
side force due to sideslipData VLM DATCOM
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Slide 18 10/6/04
VLM Code Accuracy: Roll Rate Derivatives
-0.15
-0.10
-0.05
0.00
0.05
Mach .2 Mach .6
Data
Cn p
VLM DATCOM
Yaw Due to Roll Rate
-0.50
-0.40
-0.30
-0.20
-0.10
0.00
0.10
Mach .2
Cl p
Mach .6
Data
Roll Damping
VLM DATCOM
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Slide 19 10/6/04
VLM Code Accuracy: Yaw Rate Derivatives
-0.40
-0.20
0.00
0.20
Mach .2 Mach .6
Cn r
Data
yaw dampingVLM DATCOM
0.00
0.02
0.04
0.06
0.08
Mach .2 Mach .6
Cl r
roll due to yaw rate
Data VLM DATCOM
0.00
0.20
0.40
0.60
Mach .2 Mach .6
CY r
Data
side force due to yaw rateVLM DATCOM
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Slide 20 10/6/04
VLM Code Accuracy: Elevator Effectiveness
0.00
0.05
0.10
0.15
Mach .2 Mach .6
Cl e
Data
roll due to differential elevatorVLM
0.00
0.20
0.40
0.60
0.80
1.00
Mach .2 Mach .6
CL e
Data VLM
lift due to elevatorDATCOM
-1.50
-1.00
-0.50
0.00
0.50
Mach .2 Mach .6
Cm e
pitching moment due to elevatorData VLM DATCOM
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Slide 21 10/6/04
VLM Code Accuracy: Flap Effectiveness
0.00
0.50
1.00
1.50
2.00
Mach .2 Mach .6
CL flp
flap effect on lift
Data VLM DATCOM
0.00
0.05
0.10
0.15
0.20
0.25
Mach .2 Mach .6
Cm flp
Data VLM
flap effect on pitching moment
0.00
0.05
0.10
0.15
0.20
Mach .2 Mach .6
Data
Cl flp
VLMrolling moment due to differential flap
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Slide 22 10/6/04
VLM Code Accuracy: Aileron Effectiveness
0.00
0.05
0.10
0.15
0.20
Mach .2 Mach .6
Data
Cl ail
VLM DATCOM
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Slide 23 10/6/04
VLM Code Accuracy: Rudder Effectiveness
0.00
0.05
0.10
0.15
0.20
Mach .2 Mach .6
CY r
Data VLM DATCOM
side force due to rudder
0.000
0.005
0.010
0.015
0.020
Mach .2 Mach .6
Data
Cl r
VLM DATCOMrolling moment due to rudder
-0.05-0.04-0.03-0.02-0.010.000.01
Mach .2
Cn r
Mach .6
Data VLM DATCOM
yawing moment due to rudder
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Slide 24 10/6/04
A Similar Evaluation of AVL Required
• Can’t trust that you know how to use the code• Can’t understand code limitations
Until you do a complete evaluation as shownabove for JKayVLM
http://raphael.mit.edu/avl/
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Slide 25 10/6/04
Aircraft Assessment Spreadsheet
For several typical flight situations, a spreadsheet containing11 different cases has been put together. The spreadsheetactually computes the required control deflection or timerequired to do the maneuver.To use it you need to enter:
• the flight conditions and the mass properties, both atheavily loaded and lightly loaded conditions, the fullrange of cg locations and the inertias
• the stability and control derivatives- corresponding to the each cg position
To do the assessment:• check that the required control deflection is acceptable• check that the time required meets the requirement
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Slide 26 10/6/04
EXCEL Spreadsheets, 11 Worksheets:
1. Nose-wheel Lift-off2. Nose-down Rotation During Landing Rollout3. Trimmed 1-G Flight4. Maneuvering Flight (Pull-up)5. Short Period & Control Anticipation Parameter (CAP)6. Pitch Due to Roll Inertial Coupling7. Time-to-Bank Performance8. Steady Sideslip Flights (Aileron & Rudder Deflections)9. Engine-out Trim (Aileron & Rudder Deflections)10. Roll Pullout11. Initiate & Maintain Coordinated Velocity Axis Roll
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Slide 27 10/6/04
Just One Simple Example:***********************************************************************Trimmed 1-G Flight***********************************************************************Input: Weight (lbs) 51900
Reference Area (ft^2) 400Speed (ft/s) 400Air Density (slug/ft^3) 0.002376C-m-0 0.0181C-m-delta E (/rad) -1.117C-L-0 -0.0685C-L-delta E (/rad) 0.8688C-m / C-L (-Static Margin) -0.1C-L-alpha (/rad) 4
Output: C-L Required for 1-g trim 0.6826073Elevator Deflection for Trim (deg) -4.53912205AOA Required for 1-g Trim (deg) 11.744717
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Slide 28 10/6/04
Tested Against Existing Airplane
• methodology applied to a known airplane
• results generally good
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Slide 29 10/6/04
Sizing Control Surfaces: the X-plotA rational basis for H-Tail sizing:
simplified for illustration: critical aft limit depends on design
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Slide 30 10/6/04
Solving the cg Travel Puzzle
From BWB studies by Andy Ko
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Slide 31 10/6/04
High Angle of Attack
• Aerodynamics are nonlinear- complicated component interactions (vortices)- depends heavily on WT data for analysis
• Motion is highly dynamic• Exact requirements are still being developed• Keys issues:
- adequate nose down pitching moment to recover- roll rate at high alpha- departure avoidance- adequate yaw control power- the role of thrust vectoring
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Slide 32 10/6/04
The Hi- StoryLongitudinal
Typical unstable modern fighter
90°
+
-
Cm
Max nose up moment
Max nose down moment
Cm*
Minimum Cm* allowable is an open questionIssue of including credit for thrust vectoring
Pinch often around ~ 30°-40°
0°
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Slide 33 10/6/04
The Hi- StoryDirectional
+ Stable
90°
- Unstable
0
0°
w/ Vertical Tail
ForebodyEffect
Directional problem oftenaround 30° for fighters
Config w/o V-Tail
V-Tail in wakeCn
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Slide 34 10/6/04
The Hi- StoryLateral
Cl
+
-
90°0°
“Stable”
“Unstable”
0
Dihedral Effect(also due to sweep) Flow Separates
on wing
Drooping LE deviceshelps controlseverity
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Slide 35 10/6/04
Comment on Thrust Vectoring
• Thrust vectoring mainly provides moments at high thrust
- a problem if you don’t want lots of thrust!
• Thrust vectoring moment is near constant with speed
• Ratio of aero to propulsive moments
- propulsion dominates at low q
- aero dominates at high q
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Slide 36 10/6/04
Special Issues for Supersonic Flightand Related Planforms
• Pitchup– See Alex Benoliel’s Thesis for a survey and estimation method
• Aerodynamic Center Shift– See Paul Crisafulli’s Thesis. One chapter addresses ac shift
Both available at Mason’s web site under: Thesis/Dissertation Titles and Placement.
http://www.aoe.vt.edu/aoe/faculty/Mason_f/MRthesis.html
Alex’s Thesis is also under “design related reports” on our web site
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Slide 37 10/6/04
Conclusion
Aerospace andOcean Engineering
• We’ve outlined the issues, typical criteria and procedures
• We’ve established some useful tools.
• Each project is different in the details
• Each individual controls person has to develop the detailedapproach for their particular design
F-15
EA-6B