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Smart Icing Systems NASA Review, May 18-19, 1999 3-1 Aerodynamics and Flight Mechanics Principal Investigators: Mike Bragg Eric Loth Graduate Students: Holly Gurbacki (CRI support) Tim Hutchison Devesh Pokhariyal (CRI support) Ryan Oltman

Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

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Page 1: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-1

Aerodynamics and Flight Mechanics

Principal Investigators: Mike BraggEric Loth

Graduate Students: Holly Gurbacki (CRI support)

Tim Hutchison Devesh Pokhariyal (CRI support)

Ryan Oltman

Page 2: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-2

SMART ICING SYSTEMS Research Organization

Core Technologies

Flight SimulationDemonstration

FlightMechanics

Controls and Sensor

Integration

HumanFactors

AircraftIcing

Technology

Operate andMonitor IPS

EnvelopeProtection

AdaptiveControl

CharacterizeIcing Effects

IMS Functions

Safety and EconomicsTrade Study

Aerodynamicsand

Propulsion

Page 3: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-3

Aerodynamics and Flight Mechanics

Goal: Improve the safety of aircraft in icing conditions.

Objective: 1) Develop a nonlinear iced aircraft model. 2) Develop steady state icing characterization

methods and identify aerodynamic sensors. 3) Identify envelope protection needs and

methods.

Approach: First use Twin Otter and tunnel data to developa linear clean and iced model. Then develop anonlinear model with tunnel and CFD data. Usethe models to develop characterization and envelope protection.

Page 4: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-4

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

Page 5: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-5

Outline

• Flight Mechanics Model• Development of Clean Aircraft Model• Development of Iced Aircraft Model• Flight Mechanics Analysis of Clean and Iced Aircraft• Steady State Characterization• Hinge-Moment Aerodynamic Sensor• Summary and Conclusions• Future Plans/CFD Analysis

Page 6: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-6

Equations of Motion

• 6 DoF equations of motion :

xx TA FFsinmg)WQVRU(m ++−=+− θθ&

yy TA FFcossinmg)WPURV(m ++=−+ θθφφ&

zz TAz FFcoscosmg)VPUQW(m ++=+− θθφφ&

TAyyzzxzxzxx LLRQ)II(PQIRIPI +=−+−− &&

TA22

xzzzxxyy MM)RP(IPR)II(QI +=−+−−&

TAxzxxyyxzzz NNQRIPQ)II(PIRI +=+−+− &&

Page 7: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-7

Equations of Motion (cont.)

• The longitudinal equations of motion areconsidered initially the forces along theaircraft body axes are resolved into lift anddrag forces to yield:

TcosT)cosDsinL(sinmg)WQVRU(m φφααααθθ +−+−=+−•

TsinT)sinDcosL(coscosmg)VPUQW(m φφααααθθφφ +−−+=+−•

TA22

xzzzxxyy MM)RP(IPR)II(QI +=−+−−•

Page 8: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-8

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

Page 9: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-9

Twin Otter Clean Model (v1.0)

• Longitudinal model is derived from flightdynamics data in AIAA report 86-9758, AIAAreport 89-0754 and AIAA 93-0754

• Dimensional parameters:Parameter Value UnitsWing Area 39.02 m2Wing Span 19.81 mAspect Ratio 10Mean Aerodynamic Chord 1.981 mMass 4150 kgAirspeed 61.73 m/sAltitude 1524 mMoments of Inertia: Ixx, Iyy, Izz, Ixz 21279, 30000,44986, 1432 kg.m2Flap Deflection 0 deg

Page 10: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-10

Clean Dimensional Derivatives (v1.0)

Nondimensional Clean Dimensional CleanParameter Value Parameter Value UnitsCL 0.5 Mδ -10.45 /s2

CLo 0.2 Mu 0 /ft-s

CLq 19.97 Mq -3.06 /s

CLα 5.66 Mαdot -0.804 /s

CLαdot 2.5 MTu 0 /ft-s

CLδE 0.608 Mα -7.87 /s2

CD0 0.0414 Zδ -40.33 ft/s2

K 0.0518 Zα -379.03 ft/s2

Cm 0 Zu -0.31 /sCmo 0.15 Zαdot -2.446 ft/s

Cmq -34.2 Zq -19.7 ft/s

Cmα -1.31 Xα 13.72 ft/s2

Cmαdot -9 XTu 0.0149 /s

CmδE -1.74 Xu -0.033 /sXδ 0 ft/s2

Page 11: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-11

Empirical Clean Model Method

• The clean aircraft model is developed using methodsoutlined in NASA TN D-6800 for twin-engine,propeller-driven airplanes.

• Lift, pitching moment, drag and horizontal tail hingemoments are modeled.

• Method is based on theoretical and empiricalmethods (USAF Datcom handbook and NACA/NASAreports)

• Model requires mainly aircraft geometry and thus canbe applied to different aircraft at minimal cost.

• Waiting for Twin Otter data

Page 12: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-12

Empirical Clean Model (NASA TN D-6800)

• Representative equations:

powere)hf(hwfn)C()C(CCC LLLLL ∆+∆++=

δδ

powertabe)hf(hwfn)C()C()C(CCC MMMMMM ∆+∆+∆++=

δδ

powersystemcoolingnifihiwi0)C()C()C()C()C()C(CC DDDDDDDD ∆++++++=

tab

h

tab

h

0tab)f(h)f(h)C(

c

)xx()C(

c

)xx()C(C M

h

4/chingeL

h

achingeLh δδδδδδ

′∆+−

∆+−

==

Page 13: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-13

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

Page 14: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-14

Icing Effects Model

To devise a simple, but physically representative, modelof the effect of ice on aircraft flight mechanics for use inthe characterization and simulation required for theSmart Icing System development research.

Objective:

Page 15: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-15

Linear Icing Effects Model

• = Arbitrary coefficient (CLα, Cmδe, etc.)

• = icing severity factor

• = coefficient icing factor

)A(Ciceiced)A( C)k1(CA

ηη+=

( )AC

iceηη

ACk

Page 16: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-16

Icing Factors

• is the icing severity factor

where: = freezing fraction

= accumulation parameter

= collection efficiency

• is the coefficient icing factor

( )EA,nf cice =ηη

)conditionsicing.,configandgeometryaircraft,IPS(fk )A(CA=

iceηηn

cAE

ACk

Page 17: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-17

ηηice Formulation

• ∆Cd fit as a function of n and AcE− ∆Cd data obtained from NACA TM 83556

• ∆Cdref calculated from ∆Cd equation usingcontinuous maximum conditions

• ηice formulated such that ηice=0 at n=0 or AcE=0

( )( )min45t,conditions.max.cont,0012NACAC

dataIRT,'3c,0012NACAC

refd

dice =∆

=∆=ηη

Page 18: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-18

∆∆Cd Curve Fit of NASA TM 83556 Data

0

0.02

0.04

0.06

0.08

0.1

0.12

0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045

AcE

∆∆C

d

n=.33 Data

n=.33 Curve Fit

n=1 Data

n=1 Curve Fit

Page 19: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-19

ηηice Reference Value

• To nondimensionalize the ∆Cd equation, a referencecondition was chosen based on FAA Appendix CMaximum Continuous conditions.

• NACA 0012 c = 3 ft.

MVD = 20 µm V∞ = 175 knotsLWC = 0.65 g/m3 t = 45 minT0 = 25 °F

• These conditions yielded a ∆Cd = 0.1259 at ηice=1

Page 20: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-20

Final ηηice Equation (v1.0)

( ) ( )2c2c1ice EAZEAZ +=ηη

n176.3Z1 = 432

432

2 hngnfnen1dncnbnan

Z++++

+++=

26.179810d

58.248690c

52.54370b

33.4547a

−==

−==

697.36h

595.250g

295.33f

322.4e

−==

−=−=

Page 21: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-21

Variation with n and AcE

0.00

0.20

0.40

0.60

0.80

1.00

0 0.2 0.4 0.6 0.8 1n

η ice

AcE=.01

AcE=.02

AcE=.03

AcE=.04

Cont. Max. Case

Glaze Ice Rime Ice

Page 22: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-22

ηηice Variation with AcE and n

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

0.000 0.010 0.020 0.030 0.040 0.050

AcE

ηηic

e

n=0.1

n=0.2

n=0.4

n=0.6

n=1

Page 23: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-23

Iced Model (v1.0)

• Equations:

)k1()C()C( iceCAA Acleaniceηη+= 1

)C(

)C(k

clean

ice

A

A

AiceC −=ηη 2

L0DD KCCC +=

CL CLo CLq CLα CLαdot CLδE CD0 Kclean 0.5 0.2 19.97 5.66 2.5 0.608 0.041 0.052iced 0.5 0.2 19.7 5.094 2.5 0.55 0.062 0.057kCAηice 0 0 -0.014 -0.1 0 -0.095 0.5 0.1

Cm Cmo Cmq Cmα Cmαdot CmδE

clean 0 0.15 -34.2 -1.31 -9 -1.74iced 0 0.15 -33 -1.18 -9 -1.566kCAηice 0 0 -0.035 -0.099 0 -0.1

Page 24: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-24

Comparison of Clean and Iced Model (v1.0)

Parameter Clean Iced Units Mδ -10.44 -9.4 /s2

Mu 0 0 /ft-s

Mq -3.055 -2.948 /s

Mαdot -0.804 -0.804 /s

MTu 0 0 /ft-s

Mα -7.863 -7.083 /s2

Zδ -40.29 -36.45 ft/s2

Zα -378.72 -342.67 ft/s2

Zu -0.31 -0.31 /sZαdot -2.446 -2.466 ft/s

Zq -19.697 -19.431 ft/s

Xα 13.706 13.898 ft/s2

XTu 0.0149 0.0266 /s

Xu -0.033 -0.0463 /sXδ 0 0 ft/s2

Page 25: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-25

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

Page 26: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-26

Flight Dynamics and Control Toolbox

• Flight Dynamics Code 1.3– FDC 1.3 is a free source code written by Marc

Rauw (based in the Netherlands)– Code developed using MATLAB and SIMULINK– 6 DoF equations:

• Assumptions– The body is assumed to be rigid during motions– The mass of the aircraft is assumed to be constant during

the time-interval in which its motions are studied– Earth is assumed to be fixed in space & the curvature is

neglected

• 12 - Nonlinear differential equations used to describe themotion

Page 27: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-27

Velocity

Alpha

Beta

Forces & Moments

FDC Equations

( ) ββααββββααββααββββαα cossinwqupvsinvrupwcoscosurvqwsinsinFsinFcoscosFm1

V wwwwwwwwwzyx

+−−

+−+

+−−++=

••••

],,,,,,,,,r,q,p,,,,,,,0[CScVM

],,,,,,,,,r,q,p,,,,,,,0[CSVF2

earfrafe3232

N,M,L2

21

N,M,L

2earfrafe

3232z,y,x

221

z,y,x

ββββδδαδαδαδαδαδαδδδδδδδδδββββββααααααρρ

ββββδδαδαδαδαδαδαδδδδδδδδδββββββααααααρρ&

&

⋅⋅⋅⋅⋅=

⋅⋅⋅⋅=

( ) ( ) ββααααααααααααββ

αα tansinrcospqsinurvqwcoswqupvcosFsinFm1

cosV1

wwwwwwzx +−+

+−+

+−−+−=

•••

( ) ααααββααββββααββααββββααββ cosrsinpsinsinwqupvcosvrupwsincosurvqwsinsinFcosFsincosFm1

V1

wwwwwwwwwzyx −+

+−+

+−+

+−+−+−=

••••

Page 28: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-28

Pitch, Roll & Yaw Rates

FDC Equations (cont.)

( )( )( )

( )( )( ) ( ) ( )

( ) ( )

( )( ) ( )( )( ) ( ) ( ) N

JxzIzzIxxIxx

LJxzIzzIxx

Jxzqr

JxzIzzIxxJxzIzzIyyIxx

pJxzIyyIxxIxxr

IyyM

rpIyyIxz

rpIyy

IxxIzzq

NJxzIzzIxx

JxzL

JxzIzzIxxIzz

qpJxzIzzIxx

JxzIzzIyyIxxr

JxzIzzIxxJxzIzzIzzIyy

p

2222

22

2222

2

⋅−⋅

+⋅−⋅

+⋅

−⋅⋅+−

−⋅+−⋅=

+−⋅−⋅⋅−

=

⋅−⋅

+⋅−⋅

+⋅

−⋅⋅+−

+⋅−⋅

−⋅−=

&

&

&

Page 29: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-29

Euler Angles

Position

FDC Equations (cont.)

( ) θθψψθθϕϕϕϕϕϕϕϕϕϕθθ

θθϕϕϕϕ

ψψ

sinptancosrsinqp

sinrcosqcos

cosrsinq

&&

&

&

+=++=−=

+=

( ){ } ( )( ){ } ( )( ) θθϕϕϕϕθθ

ψψϕϕϕϕψψθθϕϕϕϕθθ

ψψϕϕϕϕψψθθϕϕϕϕθθ

coscoswsinvsinuz

cossinwcosvsinsincoswsinvcosuy

sinsinwcosvcossincoswsinvcosux

eeee

eeeeee

eeeeee

++−=

−−++=

−−++=

&

&

&

Page 30: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-30

FDC Equations (cont.)

The current aircraft model (without turbulence) is usingthe following equations for the longitudinal mode:

( )ββααββαα sinsinFcoscosFm1

V zx +=•

( ) ( ) ββααααααααββ

αα tansinrcospqcosFsinFm1

cosV1

zx +−+

+−=

( ) ( )IyyM

rpIyyJxz

rpIyy

IxxIzzq 22 +−⋅−⋅⋅

−=&

ϕϕϕϕθθ sinrcosq −=&

( ){ } ( )( ) θθϕϕϕϕθθ

ψψϕϕϕϕψψθθϕϕϕϕθθ

coscoswsinvsinuz

sinsinwcosvcossincoswsinvcosux

eeee

eeeeee

++−=

−−++=&

&

Page 31: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-31

Open Loop Analysis Tool for Nonlinear Twin Otter Model

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Smart Icing Systems NASA Review, May 18-19, 1999

3-32

Closed Loop Analysis Tool for Nonlinear Twin Otter Model

Page 33: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-33

Validation of the FDC (TIP flight p5220)

• Code is validated by comparing the responseof a doublet to published NASA data (AIAA99-0636) for the Twin Otter aircraft.

• Flight conditions:• V = 187 ft/s

• alt. = 5620 ft

• α = 3.53 deg

• δF = 0 deg

Page 34: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-34

Clean and Iced Model (v2.0 TIP)

CX0 CXα CXα2 CXδe

Clean -0.076 0.390 2.910 0.096Iced -0.090 0.714 1.744 0.068ηice.kC(A) 0.182 0.831 -0.401 -0.290

CZ0 CZα CZα2 CZq CZδe

Clean -0.311 -7.019 4.111 -3.182 -0.234Iced -0.318 -7.510 6.573 -7.395 -0.3541ηice.kC(A) 0.020 0.070 0.599 1.322 0.513248

Cm0 Cmα Cmα2 Cmq Cmδe

Clean -0.011 -0.879 -3.852 -19.509 -1.8987Iced -0.026 -0.790 -3.930 -21.480 -1.8629ηice.kC(A) 1.361 -0.101 0.020 0.101 -0.01886

Ref: Robert Miller and W. Ribbens, AIAA 99-0636

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Smart Icing Systems NASA Review, May 18-19, 1999

3-35

Validation of FDC 1.3

• Validation of the FDC (TIP flight p5220, no ice)

0

1

2

3

4

5

6

7

8

0 5 10 15Time, sec

Alp

ha, d

eg

Flight DataFDC

-10-8-6-4-202468

10

0 5 10 15Time, sec

q, d

eg/s

ec

Flight DataFDC

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Smart Icing Systems NASA Review, May 18-19, 1999

3-36

Validation of FDC 1.3 (cont.)

181182183184185186187188189190

0 5 10 15Time, sec

Vel

oci

ty, f

t/se

c

Flight DataFDC

• Validation of the FDC (TIP flight p5220, no ice)

5610561556205625563056355640564556505655

0 5 10 15Time, sec

Alt

itu

de,

ft

Flight DataFDC

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3-37

Validation of FDC 1.3 (cont.)

• Validation of the FDC (TIP flight p4601, iced)

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3-38

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

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3-39

Clean and Iced Dynamic Comparison

Initial trimmed flight conditions:• Altitude = 5600 ft• Velocity = 187.5 ft/sec• Angle of Attack = 3.52°• Aircraft Model v2.0Clean:

ηice = 0.0Iced:

ηice = .15

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3-40

Dynamic Analysis, Clean & Iced

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3-41

Dynamic Analysis, Clean & Iced (cont.)

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Smart Icing Systems NASA Review, May 18-19, 1999

3-42

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

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3-43

Steady State Characterization

Goal:• Analyze quasi-steady data characterized by control

inputs and disturbances insufficient to excite dynamicmodes to characterize the icing encounter.

Objectives:• Determine onset of icing on an aircraft in real-time

during flight.• Estimate the severity of ice accretion in terms of its

effect on performance, stability and control.• Identify location of ice accretion on the A/C and the

potential safety hazards.

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3-44

Steady State Characterization (cont.)

Approach:• Acquire flight data, using onboard sensors.• Process aircraft data to obtain nondimensional

parameters in iced and equivalent clean conditions.• Compare iced and clean models to back out “useful

flight parameters” such as ∆CL, ∆δE, ∆CD, and ∆Ch.• Set threshold values to determine onset of icing.

• Analyze the ∆’s and other sensor information to determine the type and location of ice accretionand the potential safety hazards.

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3-45

S. S. Characterization Results

• Use FDC 1.3 auto-pilot configuration set at:– constant altitude– constant power

• Analyze the effects of icing on:– angle of attack– elevator deflection– velocity and drag characteristics

• The clean and iced configurations have beencompared for conditions with and without turbulence.

• The icing simulations are set at ηice = .15 and thesimulations are run for 22 minutes.

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3-46

Steady State Flight Conditions

The initial conditions for the steady state analysis are:• Altitude = 9000 ft• Velocity = 268 ft/sec• Angle of Attack = 0.5°• Elevator Deflection = -0.6°

ηice(t = 0) = 0ηice(t = 22 min.) = 0.83

Clean and Iced Model v2.1 is used.

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3-47

Turbulence Model

• The turbulence model used in the FDC 1.3 steadystate analysis is based on the Dryden spectraldensity distribution.

• The turbulence intensity produces an aircraft z-acceleration of 0.13g RMS with typical variations of+/- 0.5g encountered over the 22 minute flight.

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3-48

Comparison for αα and δδE (No turbulence)

0ice =ηη

83.0ice =ηη

0ice =ηη

83.0ice =ηη

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3-49

Comparison for CD and V (No turbulence)

83.0ice =ηη

0ice =ηη

0ice =ηη 83.0ice =ηη

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3-50

Comparison for αα and δδE (turbulence)

0ice =ηη

83.0ice =ηη

0ice =ηη

83.0ice =ηη

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3-51

Comparison for CD and V (turbulence)

0ice =ηη

83.0ice =ηη0ice =ηη

83.0ice =ηη

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Smart Icing Systems NASA Review, May 18-19, 1999

3-52

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Smart Icing System Research

Holly Gurbacki, Dr. Bragg AerodynamicSensors

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Smart Icing Systems NASA Review, May 18-19, 1999

3-53

Wind Tunnel Testing

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3-54

Sensing Unsteady Hinge Moments

• Objective: Use unsteady hinge moment to sense potentialcontrol problems and nonlinearities due to ice-induced flowseparation

• Approach:– NACA 23012 airfoil model with simple flap and forward-facing

quarter round simulated ice

– Steady-state Cl, Cd and Cm from balance and pressures andCh from hinge-moment balance and pressures

– Time series and frequency spectra of unsteady Ch from hinge-moment balance

– Time series and frequency spectra of flow unsteadiness fromhot-wire anemometer placed within and aft of separationbubble, in shear-layer, and over flap

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3-55

Unsteady Ch RMS

0

0.01

0.02

0.03

0.04

0.05

-10 -5 0 5 10 15 20

AOA (degrees)

Uns

tead

y C

h R

MS

Clean x/c = .02 x/c = .10 x/c = .20

Cl , max

Cl , max

Cl , max

NACA 23012, Re = 1.8 million, δδ f = 0

Page 56: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

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3-56

99 00 01 03

Federal Fiscal Year98 02

Aerodynamics and Flight Mechanics Waterfall Chart

Linear Iced Aircraft Model

CFD

Wind Tunnel Testing

Nonlinear Iced Aircraft Model

Determine Need for and SelectAerodynamics Sensors

Steady State Characterization of Icing Effects

S. S. Char. Method

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3-57

Summary and Conclusions

• Clean twin otter linear models developed.• Method for including icing effects in linear

model developed.• Flight mechanics computational method

available.• Iced twin otter models for TIP studies

available and performs well.• Steady state characterization formulated and

initial results promising.

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3-58

Future Research

• Complete and refine linear models, icing effectsmodel and perform icing accident analysis

• Complete steady state characterization method• Study and develop envelop protection schemes• Identify aerodynamic and other sensors• Develop fully nonlinear model

– Experiment & CFD for AE data bases– Neural Networks for AE interrogation

• Assess Feasibility of a VIFT (Year 4)

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Smart Icing Systems NASA Review, May 18-19, 1999

3-59

THE AERODYNAMICS ANDFLIGHT MECHANICS GROUP

Wind TunnelData

IcedAerodynamics

Model

ComputationalFluid

Dynamics

Iced AircraftModel

Clean AircraftModel

Aircraft - FlightMechanicsAnalysis

Steady StateCharacterization

Flight Mechanics Model

Devesh Pokhariyal, Dr. Bragg

Tim Hutchison, Dr. Bragg

Ryan Oltman, Dr. Bragg

to be decided, Dr. Loth

Characterization

Flight Simulation

Envelope Protection

Fully Non-Linear APC Overview

Holly Gurbacki, Dr. Bragg AerodynamicSensors

AE

Page 60: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

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3-60

Fully Non-Linear Model

• Objective:For flight mechanics, we would like non-linear Aero-Performance Curves (APC): CL, CD, Cm, Ch as afunction of α , δ , etc. and environmental conditions

• Method:– Use high-quality previous and new data sets

(experimental and computational) to construct All-Encounters (AE) data bases

– Construct neural networks for use in interrogation ofany condition atmospheric/flight condition

– Apply neural networks to flight mechanics

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3-61

All Encounters Data Bases

• Method:– Collect data of ice-shape characteristics (x/cice, k/cice) as

a function of flight conditions (α , d, LWC, T0, Re, etc.):• Icing Research Tunnel Shapes

• In-Flight Icing Shapes

• LEWICE shapes

– Collect data of 2-D APC (Cl, Cm,..) as a function of ice-shape characteristics (x/cice, k/cice) and α and δ :

• Icing Research Tunnel Aerodynamic Tests

• Wind Tunnel Tests for various Ice Shapes

• CFD for various Ice Shapes

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3-62

Computational Fluid Dynamics

• NSU2D will be the primary code for CFD– unstructured adaptive triangulated grid– Can handle complex shapes & multi-element– Spallart-Almaras turbulence model– Employs en transition model– Unsteady capabilities for flow shedding

• To improve prediction fidelity• To investigate unsteady aerodynamic sensing

– To be parallelized for SG Origin 2000

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3-63

Sample CFD

• NSU2D LE ice-shape predictions

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Smart Icing Systems NASA Review, May 18-19, 1999

3-64

Neural Network Approach

• Construct Separate Neural Networks for:– Ice-shape characteristics as a function of environmental

conditions– 2-D APC as a function of ice-shape characteristics and

flight conditions

• Train Neural Networks with AE databases• Use analytical methods to convert 2-D APC to

CL,CD,Cm, Ch

• Replace Linear Model with Non-Linear NeuralNetworks for Flight Mechanics

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Smart Icing Systems NASA Review, May 18-19, 1999

3-65

Neural Network for Ice-Shape

α

δ

• Sample neuron: Y= f(Σ Wi xi) with x i = (α , d, LWC, etc.)

• Wi are trained with data (f refers to a sigmoidal function)

• Y refers to output of a neuron; final output: x/cice, k/cice

x/cice, k/cice

OutputLayer

HiddenLayer 2

HiddenLayer 1

InputLayer

d

LWC

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Smart Icing Systems NASA Review, May 18-19, 1999

3-66

Neural Network Interrogation

• Input are ice-shape characteristics & flight condition• Final output are the 2-D APC: Cl,Cd,Cm, or Ch

Cl ,Cd ,Cm ,Ch

α

δ

x/cice

OutputLayer

HiddenLayer 2

HiddenLayer 1

InputLayer

k/cice

Page 67: Aerodynamics and Flight Mechanics - University Of Illinoissis.ae.illinois.edu/Present/NASARvwSxn/3_AFM.pdfAerodynamics Model Computational Fluid Dynamics Iced Aircraft Model Clean

Smart Icing Systems NASA Review, May 18-19, 1999

3-67

Feasibility of a Virtual Icing Flight Test

• Objective:Assess Feasibility of a VIFT (for a follow-on study) whichwould simulate a complete icing encounter includingtemporal resolution of ice accretion, pilot input, IMS, etc.

• Goal: Consider requirements for integrating– Ice Accretion (LEWICE)– Aerodynamic Predictions (NSU2D)– A/C Flight Dynamics Model (Selig)– Pilot Input / Flight Simulator Output (Sarter/Selig)– IMS Control (Basar/Perkins)

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3-68

Virtual Icing Flight Test Configuration?

a) receive input from pilot, IM S,

and aerodynamic performance

b) computes A /C dynamic state

c) displays cockpit viewincluding IM S warnings/info

" Aero Workstation" for

simulated A/C performance" A/C Workstation" for virtual airplane state & pilot I/O

Computes as function. of time

a) ice shape from LEW ICE

b) instantaneous aero forces &

moments as a function of

angle-of-attack & flap defl.

A tmospheric model: real time conditions: pressure, temperature, humidity, L W C of clouds

aero forces/moments,

virtual ice sensor output

" I M S Workstation" for icing

ID and IMS decision making:

modify display/IPS/contr ol

From A /C state data can:

a) issue warnings to pilot

b) initiate IPS operation

c) modify flight envelope

d) institute control adaptation

Dedicated NC SA

Supercomputer

A /C dynamic state, IPS on?

IPS initiating

A /C state, pilot input

icing sensor data

pilot

yoke

Send appropriate IM S output:

see levels a)-d) listed below

t

H 1H 0

x

L

Dt

t