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Fall Semester 2009

Lab

4

Aerodynamic Estimation

4.1 Function of Aerodynamics in Design

4 2 Aerodynamic tool box introduction

4.2 Aerodynamic tool box introduction

4.3 Aerodynamics for Performance

Methodology

4.4 Aerodynamics for Stability and Control

Methodology

4 5 A d i f St t

4.5 Aerodynamics for Structures

Methodology

4.6 Assignment

Gary Coleman

AVD Laboratory

(2)

3 Initial Geometry, Weight and Balance

Geometry, Weight and Balance

Is typically derived during

the configuration layout phase for the basic trades-studies on interest. The methods employed are typically statistical in nature and serve only as a start point for the design process

Covered In Lecture

Responsible Teams:

CAD and Synthesis (Chief Engineers)

Derivation of initial Geometry Weight &

Balance Market Mission Definition Parametric Sizing Configuration Layout Balance Covered In Lecture Configuration Evaluation Flight Simulation Product Review

(3)

4 Aerodynamic Estimation for Performance

Configuration Trade-studies

Initial weight & balance and geometry

Configuration Evaluations Process

Aerodynamic estimation Propulsion estimation

Stability and control analysis

g g y

Structural analysis Performance analysis Internal systems analysis

Cost analysis

Convergence Check

Example: Compare initial and final values for weight Revised weight & balance estimation

Example: Compare initial and final values for weight

(4)

4.1 Function of Aerodynamics in Design

Aerodynamics:

Is the prediction and tailoring of the

aerodynamic forces and moments required for predicting the aircrafts,

1. Performance

2. Stability and Control 3. Structural Loads

Performance:

R i th d l M i lift ffi i t f h

Requires the drag polar, Maximum lift coefficient for each mission segment and Lift curve

(5)

Stability and Control:

Requires static, dynamic and control derivatives

for critical flight conditions

(6)

Structure:

R

i

d

i

l

d di t ib ti

h

Requires aerodynamic load distribution over each

configuration component for the critical load cases

Pressure Distribution

(7)

4.3 Example: Citation X

Flight Conditions and Configuration settings:

For this example the Take-off flight condition will be examined. From the Mission Specification and Parametric sizing results the flight conditions and configuration settings are

flight conditions and configuration settings are.

Altitude: Sea-level

Velocity: 137 kts (231 ft/s)

Mach: 0.15

Re: 1.45x106

flap: 15.0

(8)

4.2 Aerodynamic tool box introduction

2-D aerodynamics:

Airfoil Drag Polar and Lift Curve:

1) Look for experimental data 1) Theory of Wing Sections 2) UIUC Ai f il D t Sit

2) UIUC Airfoil Data Site

(http://www.ae.uiuc.edu/m-selig/ads.html )

3) Paper DATCOM 4) Google!

2) Numerically Prediction

Digital DATCOM – Method of singularities,

corrected for viscous and compressibility effects

EPPLER – Potential flow solver

X-FOIL– Potential flow solver corrected forX-FOIL– Potential flow solver, corrected for compressibility

JavaFoil – Potential flow solver, corrected for compressibility

TSFOIL – Transonic small disturbance theory Fl t C i l CFD ft ( t il bl

Fluent – Commercial CFD software (not available in Capstone Lab)

(9)

4.2 Aerodynamic tool box introduction

3-D aerodynamics:

Drag Polar, Lift Curve, aerodynamic loads and stability and control derviatves:

1) Hand-book Methods

2) Digital DATCOM

(10)

4.2 Aerodynamic tool box introduction

Flight Conditions and Configuration settings for tool

box description:

For this example the Take-off flight condition will be examined. From the Mission Specification and Parametric sizing results the From the Mission Specification and Parametric sizing results the flight conditions and configuration settings are.

Altitude: Sea-level Velocity: 137 kts (231 ft/s) Mach: 0 15 Mach: 0.15 Re: 1.45x106flap: 15.0

(11)

2-D Aerodynamics:

Citation X Wing Airfoil Approximation:

The Citation X’s wing is composed of supercritical airfoils which vary from root to tip. However, the actual airfoils are not availbile in the public domain and therefore the airfoils can be availbile in the public domain and therefore the airfoils can be approximated as follows -0.1 -0.05 0 0.05 0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c y/c Upper Lower Mean camber line

GIII BL 145 GIII BL 45 9750 mm. Cessna 7500 -0.1 -0.05 0 0.05 0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c y/c Upper Lower Mean camber line

GIII BL 45 F th f thi L b th ti i i i t d -0.1000 -0.0500 0.0000 0.0500 0.1000 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 x/c y/c Upper Lower Mean camber line

4900 mm.

For the purposes of this Lab the entire wing is approximated with the 10% t/c GIII BL 45 from the Gulfstream III. The airfoil ordinates can be found from the UIUC Airfoil Data Site

(12)

2-D Aerodynamics:

Citation X Empennage Airfoil Approximation:

The Citation X’s empennage also composed of supercritical airfoils with an approximate t/c of 10 % for the vertical and 8% for the horizontal.

For the purposes of this lab the NACA 64a010 and NACA 64-008a are used. The ordinates can be found from the UIUC Airfoil Data Site (http://www.ae.uiuc.edu/m-selig/ads.html )

0.1 Upper

Lower Mean camber line NACA 64a010 -0.1 -0.05 0 0.05 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c y/c

Mean camber line

NACA 64 008a 0 1 -0.05 0 0.05 0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 y/c Upper Lower Mean camber line NACA 64-008a

-0.1

(13)

2-D Aerodynamics:

Airfoil Drag Polar and Lift Curve:

1) Look for experimental data 1) Theory of Wing Sections 2) UIUC Ai f il D t Sit

2) UIUC Airfoil Data Site

(http://www.ae.uiuc.edu/m-selig/ads.html )

3) Paper DATCOM 4) Google!

2) Numerically Prediction

Digital DATCOM – Method of singularities,

corrected for viscous and compressibility effects

EPPLER – Potential flow solver

X-FOIL– Potential flow solver corrected forX-FOIL– Potential flow solver, corrected for compressibility

JavaFoil – Potential flow solver, corrected for compressibility

TSFOIL – Transonic small disturbance theory Fl t C i l CFD ft ( t il bl

Fluent – Commercial CFD software (not available in Capstone Lab)

(14)

2-D Aerodynamics: X-FOIL

X-FOIL is a menu based Airfoil analysis and design program developed by Mark Drela at MIT and is available for free

under a GNU General Public License.

Web site: http://web.mit.edu/drela/Public/web/xfoil/

Wing airfoil

1) Set-up airfoil coordinate file X-Foil\GIIIBL45 dat

1) Set-up airfoil coordinate file X-Foil\GIIIBL45.dat

Notes:

first line is a the airfoil name

Use only spaces between columns

C di t t t t th t ili d d

Coordinates start at the trailing edge and run forward only the top surface and aft along the bottom surface

0.05

0.1 Upper

Lower

Mean camber line

-0.1 -0.05 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c y/c

(15)

2-D Aerodynamics: X-FOIL

2) Place the coordinate data file into the same folder as the X-FOIL executables. Double click xfoil.exe. You will see a directory and command listing.

3) T pe ‘LOAD GIIIBL45 dat’ 3) Type ‘LOAD GIIIBL45.dat’

(16)

2-D Aerodynamics: X-FOIL

4) Change to the Geometry design routine by typing 4) Change to the Geometry design routine by typing

‘GDES’ and hitting return. A plot visualizing the airfoil will appear

In this case X-FOIL gave a warning message that the airfoil has a poor coordinate distribution. To correct

thi th CADD d d t d th l l

this the CADD command was used to reduce the local panel angles.

5) Type ‘CADD’ in the GDES directory. This this case the function was used twice to reduce the maximum panel angle was around 3 deg.

6) Hit the ‘Enter’ to return to the XFOIL directory

7) Type ‘PCOP’ To re-panel the airfoil according to the 7) Type PCOP To re panel the airfoil according to the

(17)

2-D Aerodynamics: X-FOIL

8) Change to the Operation routine by typing ‘OPER’ from the X-FOIL directory. (Type ‘?’ to show the directory and command list again)

9) Turn on the Viscous mode and input the Reynolds and 9) Turn on the Viscous mode and input the Reynolds and

Mach number during take-off.

1) Type VISC and following the prompts 2) Type MACH and follow the prompts

10) T th t i t l ti f ti Thi ill 10) Turn on the auto point accumulation function. This will

produce an output file with the drag polar results. 1) Type ‘PACC’

1) Provide a name for the drag polar file 2) Provide a name for the output dump file 11) Specify range of angle of attack

(18)

2-D Aerodynamics: X-FOIL

12) Check the solution

1) Check for sharp spikes (mostly due to numerical instabilities!!)

2) 1st try increasing the viscous iteration limit with

2) 1 try increasing the viscous iteration limit with the ‘ITER’ command. If the problem presists try refining the number of panels and panel angles.

Note: Supercritical airfoils are typically difficult to model with panel methods!

(19)

2-D Aerodynamics: X-FOIL

13) Plot drag polar

1) Double click ‘pplot.exe’ in the X-Foil folder

2) Type ‘1’ the read the drag polar file and enter the name of the drag polar file created earlier. Hit return twice

return twice

3) Type ‘3’ to plot the drag polar

14) The drag polar data file can also be cop and pasted in 14) The drag polar data file can also be copy and pasted in

Excel for further formatting.

(20)

3-D Aerodynamics: Hand calculations

Before running any computer code it is important to have a Before running any computer code it is important to have a sanity check. The simplified handbook collected in methods

described in Approximate Drag Polar Method.doc can be

used for a quick approximation of the drag polar and maximum lift coefficient.

Notes

These methods are approximate in nature and should only be used for parametric sizing purposes or for a sanity check

pu poses o o a sa ty c ec

Most of these methods come from the USAF DATCOM, AIAA Aerospace designer engineers guide and Roskam Part I.

(21)

3-D Aerodynamics: Digital DATCOM

Digital DATCOM is Digital version of the USAF DATCOM Digital DATCOM is Digital version of the USAF DATCOM semi-empirical hand-book methods for aerodynamic

estimation. Digital DATCOM uses a simple text file input and output interface and has been a stable of aerodynamic

prediction in conceptual design sense the late 1970.

Digital DATCOM is an open source FORTRAN 77 program and is available in the public domain

See the AVD Digital DATCOM Quick Tour and Digital See t e g ta CO Qu c ou a d g ta

DATCOM users manual to get started

AVD Digital DATCOM Quick Tour.doc Digital DATCOM MANUAL.PDF

Notes Notes

The airfoil sections data can be input from the X-Foil results or the airfoil coordinates can be input manually. In the later case Digital DATCOM uses a small disturbance method to predict the airfoil characteristics.

Familiarize your self with the applicability of

Digital DATCOM. Sense the tool is based on semi-empirical methods it cannot be applied to all

(22)

3-D Aerodynamics: AVL Vortex Lattice Code

What is a vortex lattice code?

2-D case – approximating an airfoil as a flat plate at some angle of attack with a vortex filament, with strength , at the ¼ chord position and a control point at the ¾ chord position

pos t o a d a co t o po t at t e ¾ c o d pos t o (Weissinger’s approximation).

The lift (L’) and down wash (wi) and corresponding down wash velocity can be computed using the “Biot-Savart Law” (See McCormick(5) or Dreier(6) for more detail)

To produce a chord wise lift distribution simple add more vortex filaments and control points

filaments and control points

(23)

3-D Aerodynamics: AVL Vortex Lattice Code

What is a vortex lattice code?

3-D case – Expanding on the infinite flat plat assumption to a finite thin wing can be derived assuming two wing tip vortices extending from the wing quarter chord of each aft connected e te d g o t e g qua te c o d o eac a t co ected with a bounding vortex along the wing ¼ chord. Resulting in “Horse Shoe” vortex with strength .

Through summing the wash effects of each vortex at a central control point at mid span and ¾ chord the lift and induced drag control point at mid span and ¾ chord the lift and induced drag for this wing can be approximated for small angles of attack. Moving this lift vector to the ¼ chord produces the wing pitching moment.

(24)

3-D Aerodynamics: AVL Vortex Lattice Code

What is a vortex lattice code?

To produce a span wise lift distribution add more horse shoe vortices at the wing ¼ chord

To produce a chord wise and span wise distribution add horse shoe vortices at various chord locations

(25)

3-D Aerodynamics: AVL Vortex Lattice Code

How to operate AVL: AVL is a command driven (similar to x-foil)

which reads geometry and weight data from data files.

Getting Started: place “avl.exe” in the “runs” folder and follow

the. Double click avl.exe t e oub e c c a e e

The remainder of this introduction is a visualization of the “session1.txt” file which summarizes the basic commands to operate AVL

(26)

3-D Aerodynamics: AVL Vortex Lattice Code

To Load and visualize the aircraft geometry:

1) Load the geometry file “vanilla.avl” 2) Change to the “.OPER” directory

(27)

3-D Aerodynamics: AVL Vortex Lattice Code

To Load and visualize the aircraft geometry:

3) Type “G” to bring up a wire frame plot of the geometry 4) Type “K” to bring up keyboard commands for

(28)

3-D Aerodynamics: AVL Vortex Lattice Code

To Run AVL for a specified flight condition:

1) From the “OPER” directory type “M” to modify the flight conditions

2) Enter the first letter of the variable you wish to specify 1)) Example: “MN” for Mach number MNa p e o ac u be

(29)

3-D Aerodynamics: AVL Vortex Lattice Code

To Run AVL for a specified flight condition:

4) AVL does not appear to run angle of attack or mach number sweeps as done with DATCOM or Linair (If you find a way let me know!). There for you can specifically define the angle of attach, side-slip angle, etc., through de e t e a g e o attac , s de s p a g e, etc , t oug the constraint table which appears in when you are in the “OPER” directory

5) Set the angle of attack to 4.0 degrees by typing “A” to select angle of attack. Then Select the variable which AVL will use to set the angle of attack. Select angle of attach by entering “A” and finally enter the angle of y g y g attack 4.0 deg

Note: AOA can be constrained by any variable listed (Like CL)

(30)

3-D Aerodynamics: AVL Vortex Lattice Code

To Run AVL for a specified flight condition:

6) Type “x” to execute the vortex lattice code. The following screen will appear

6) Repeat the process for every flight condition or constraint

(31)

3-D Aerodynamics: AVL Vortex Lattice Code

To Visualize Output with AVL:

1) To Visualize the Lift distribution for all lifting surfaces type “T” for the Trefftx plane plot.

Wing Lift Distribution

Horizontal Tail Lift Distribution

(32)

3-D Aerodynamics: AVL Vortex Lattice Code

To Visualize Output with AVL:

1) To Visualize the pressure distribution for all lifting surfaces type “G” to return to the geometry plot 1)) Type “LO” to visualize the wing loading (pressure ype O to sua e t e g oad g (p essu e

distribution)

Wing Lift Distribution

Horizontal Tail Lift Distribution

(33)

3-D Aerodynamics: AVL Vortex Lattice Code

To Dump Output AVL to data files:

1) To output

1) Stability derivatives type “ST” or “SB” 2)) Total forcesota o ces “FT”

3) Surface forces “FN” (wing, horizontal tail, etc.)

4) Strip forces (lift distribution) “FS” 5) Element forces (control points) “FE” 6) Strip shear moments “VM” 6) Strip shear, moments VM

(drag and pitching moments)

7) Hinge moments “HM”

2) For each command it will prompt you to provide a file name to write the output.

Horizontal Tail Lift Distribution

(34)

3-D Aerodynamics: AVL Vortex Lattice Code

To Build an AVL model of the Citation X:

1) Start with the “bd2.avl” as a template for a wing, body horizontal and vertical tail configuration.

2)) Modify the reference areas mach number center of od y t e e e e ce a eas ac u be ce te o gravity references and CD0 (Vortex lattice methods only predict induced drag!!!!!!)

3) Modify the fuselage according the description in AVL’s Users guide (avl doc txt)

Users guide (avl_doc.txt)

Notes:

1) Fuselages and nacelles are modeled as

uncambered bodies of revolution with circular cross-sections. Therefore, for the Citation X use the Top view to determine the cross-sectional radius at each x-station.

2) Fuselage bodies are input in the same manner airfoils (i.e. specify radii from tail to nose across the top of the fuselage followed by the radii from p g y nose to tail along the bottom surface

4) For each lifting surface (wing, horizontal tail, vertical tail, etc. specify

5) For each command it will prompt you to provide a file name to write the output.

(35)

3-D Aerodynamics: AVL Vortex Lattice Code

To Build an AVL model of the Citation X:

4) For each lifting surface (wing, horizontal tail, vertical tail, etc.) any number of chordwise locations (root, tip, mid-span, etc.) specify Leading edge x, y, z location,

chord length, incidence angle and airfoil ordinate file

c o d e gt , c de ce a g e a d a o o d ate e according to the AVL users guide.

Notes:

1) The AVL can read the same airfoil data files as x-foil

2) You may use one or more airfoils for this model 2) You may use one or more airfoils for this model.

-0.1 -0.05 0 0.05 0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c y/c Upper Lower Mean camber line

GIII BL 145 XLE3 yw -0.1 -0.05 0 0.05 0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x/c y/c Upper Lower Mean camber line

GIII BL 45 YLE3 X -0.1000 -0.0500 0.0000 0.0500 0.1000 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 x/c y/c Upper Lower Mean camber line

Cessna 7500 Yw YLE2 XLE2 xw Xw zw

(36)

4.3 Aerodynamics for performance methodology

Performance Team Aerodynamic Requirements:

The performance team requires the aerodynamic drag polar and lift curve to predict range, take-off and landing field length, climb gradients, time to climb, service ceiling, etc.

etc.

Minimum Deliverables:

Drag Polar for each mission segment

Lift curve for each mission segment

Basic Procedure:

1. 2-D Airfoil selection/analysis (wind-tunnel data or X-FOIL)

2 3 D d b ild (H d b k DATCOM AVL) 2. 3-D drag build-up (Hand-book, DATCOM, AVL)

3. 3-D Lift curve with and without flaps (Hand-book, DATCOM, AVL)

Recommended References:

[1] Roskam, J, “Airplane Design, Part I: Preliminary Sizing of Airplanes,” DARcorporation, Lawrence, Kansas, 2004

[2] Roskam, J, “Airplane Design, Part VI: Preliminary Calculation of Aerodynamic, Thrust, and Power Characteristics,” DARcorporation, Lawrence, Kansas, 2004 [3] Hoak, D.E, Finck, R.D., “USAF Stability and Control DATCOM,” Flight Control

[3] Hoak, D.E, Finck, R.D., USAF Stability and Control DATCOM, Flight Control

Division Airforce Flight Dynamics Laboratory, Wright-Patterson Air Force Base, Ohio, 1978

[4] Hoerner, S.F,, “Fluid Dynamic Drag,” Midland Park, NJ, 1985 [5] Hoerner, S.F,, “Fluid-Dynamic Lift,” Midland Park, NJ, 1965

(37)

Performance Mission Segments:

The aerodynamics team must compute the trimmed lift and drag The aerodynamics team must compute the trimmed lift and drag for the primary mission segments with the appropriate

configuration settings Mission requirements Payload Weight (Kg) Payload Weight (Kg) Crew (2) 184 kg (410 lbs) Maximum Passengers (12) 1,110 kg (2,460 lbs) Design Passengers (6) 600 kg (1320 lbs) Range Design (0.82 M) 5,740 km (3,100 nm) High-Speed (0.92M) 4130 km (2,300 nm) Velocity

High-speed cruise (mid-weight) 0.92 M

Design Cruise Speed 0.82 M

Altitude (m)

Max operating 15,000 m (49,000 ft)

Design Cruise (0.82 M) 15,000 m (49,000 ft)

Max cruise speed (0.92 M, mid-weight) 11,300 m (37,000 ft)

Take-off field length (TOGW) 1 570 m (5 140 ft)

Take off field length (TOGW) 1,570 m (5,140 ft)

Landing field length (max landing weight) 1036 m (3,400 ft)

(38)

4.4 Aerodynamics for Stability and Control methodology

S&C Team Aerodynamic Requirements:

The S&C team must assess the stability and controllability of the aircraft and flight conditions which typically the most demining. These flight conditions are termed Design Constraining Flight Conditions (DCFC)

Constraining Flight Conditions (DCFC)

Minimum Deliverables:

Static stability derivatives at each DCFC

Dynamic stability derivatives at each DCFC Control derivatives at each DCFC

Control derivatives at each DCFC

Basic Procedure:

1. Outline DCFC’s

2 C t t i d t ti t bilit d i ti (DATOM 2. Compute trimmed static stability derivatives (DATOM

/ AVL)

3. Compute dynamic stability derivatives (DATOM / AVL) 4. Compute control derivatives (DATOM / AVL)

5. Produce look-up tables/figures for each DCFC

Recommended References:

[1] Roskam, J, “Airplane Design, Part VI: Preliminary Calculation of Aerodynamic, Thrust, and Power Characteristics,” DARcorporation, Lawrence, Kansas, 2004 [2] Hoak, D.E, Finck, R.D., “USAF Stability and Control DATCOM,” Flight Control

Division Airforce Flight Dynamics Laboratory, Wright-Patterson Air Force Base, Ohio, 1978

[3] Etkin B., Reid, L.D., “Dynamics of Flight: Stability and Control,” 3rdEdition, John

(39)

Design Constraining Flight Conditions (DCFC):

In general the following table can be used to define the proper In general the following table can be used to define the proper DCFC’s for each control effector;

LoCE – Longitudinal Control Effector (Elevator)

DiCE – Directional Control Effector (Rudder)

LaCE – Lateral Control Effector (Aileron)( )

List of Classical DCFC’s

DCFC Description

LoCE LoCE

Trimmed Cruise Estimation of tim drag from the LoCE. High ‘g’

Maneuvering

LoCE's ability to perform pull-up/push-over maneuvers at maximum g loading.

Take-off Rotation LoCE's ability to lift the nose of the ground at rotation speed.

High Low speed LoCE's ability to maintain trim at forward c g during low-speed landing approach High , Low speed LoCE s ability to maintain trim at forward c.g. during low speed landing approach

with flaps-down, engines at idle, and high angle of attack. DiCE

Crosswind Landing DiCE's ability to maintain straight ground path during take-off and landing Anti-symmetric

Power

DiCE's ability to maintain straight flight path with most outboard engine inoperable

Crosswind Landing with OEI

Combination of Cross-wind landing and Anti-symmetric power

Adverse Yaw DiCE's ability to compensate for yawing moments produced by the aileron during rolls or high a, low speed, steep coordinated turns.

LaCE

Roll Performance LaCE's ability to bank the aircraft to a required bank angle in the required time Roll Performance LaCE s ability to bank the aircraft to a required bank angle in the required time.

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Stability and Control Coefficients and Derivatives:

What does the S&C team need?

- trimmed Stability and control derivatives

Longitudinal Lateral/Directional Coefficients Static Derivatives 0 D C D C CL 0 L C Cm0 m C Cl Cn Cy trim D C CLtrimCmtrim Static Derivatives Dynamic Derivatives Control Derivatives  D C CL Cm LoCE D C LoCE L C LoCE m C l C Cn Cy u L C CDu u m C q L C Cmq  L C Cm Clp Cnp Cyp Clr Cnr Cyr LaCE l C LaCE n C LaCE y C DiCE l C DiCE n C DiCE y C

How to compute these parameters?

Handbook Component Build-up Methods (Etkin, USAF DATCOM, Digital DATCOM) Numerically Vortex Lattice Methods (AVL)

How to trim the configuration at each flight condition?

Roskam Part VII: Roskam Trim.pdf

Trim is defined as Lift = Weight Thrust = Drag Pitching moment = 0 V Lw Lt V V’ D t Mact lt

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4.5 Aerodynamics Load Estimation

S&C Team Aerodynamic Requirements:

Structures team must determine the structural concept, layout and weight for the aircraft. To accomplish they require aerodynamic loads to estimate the forces and moment on the structure for critical load cases

moment on the structure for critical load cases

Minimum Deliverables:

Distributed Aerodynamic Loads for the wing, fuselage and empennage for each critical load case (Pressure Distribution)

Distribution)

Aerodynamic forces and moments (CL, CD, CM) for each load case

Basic Procedure:

1. Outline critical load cases

2. Compute disturbed Lift, Drag and Pitching Moment for each aircraft component

3. Produce look-up tables/figures for each critial load case

case

Recommended References:

[1] Niu, M., “Airframe Structural Design,” Technical Book Company, California, 1990

[2] H S F “Fl id D i Lift ” Midl d P k NJ 1965

[2] Hoerner, S.F,, “Fluid-Dynamic Lift,” Midland Park, NJ, 1965

[3] Roskam, J, “Roskam, J, “Airplane Design, Part VI: Preliminary Calculation of

Aerodynamic, Thrust, and Power Characteristics,” DARcorporation,

Lawrence, Kansas, 2004

(42)

Critical Load Cases for Transport Aircraft:

For each load condition the structures team requires the total aerodynamic forces and pressure distribution for……

Classical Critical Load Cases, Nui(1)

Load case Description

Pilot Induced Maneuvering and System malfunctions Combination stabilizer-elevator maneuvers

Longitudinal maneuvers which can load the LcCE and main wing.

Aileron and/or spoiler p Lateral maneuvers which apply an asymmetric loading condition on the maneuvers

pp y y g

wing.

Rudder maneuvers Directional maneuvers which the rudder applies loads to the vertical stabilizer and fuselage

Atmospheric Turbulence Power spectral approach and/or Discrete gust approach

Landing Landing gear and aerodynamic loads encountered during landing Ground handling

FAR ground handling Loads encountered during taxing maneuvers Rotational Taxing Loads encountered during taxing maneuvers Rotational ground maneuver Loads encountered take-off rotation

Jacking Loads jacking of aircraft for maintenance purposes Fail-safe and breakaway

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4.6 Assignment

Assignment Aerodynamic for Performance:

Produce a low speed 2-D drag polar and lift curve for the GIIIBL45 airfoil

Produce the 3-D drag polar for T-O, Climb, Cruise, and Approach.

Produce a Digital DATCOM model of the Citation and compile the long range cruise drag polar and Lift curve

The report should include,

1. Quick summary of the capability and limitations of X-FOIL and Digital DATCOM

2. 2-D drag polar from X-FOIL

3. The 3-D drag polar and lift curves from Digital DATCOM, AVL and hand-Calculations

Plot 2-D and 3-D CL vs. CD, CL vs. AOA and L/D vs. CL

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4.6 Assignment

Assignment Aerodynamic for Stability and Control:

Construct a Digital DATCOM and AVL model of the Citation X

Trim the aircraft for Cruise and Approach (with appropriate configuration settings).

Report the resulting stability and control derivatives

The report should include,

1 Quick summary of the capability and limitations of AVL 1. Quick summary of the capability and limitations of AVL

and Digital DATCOM

2. Brief description of the trim method used

3. Table summarizing the stability and control derivatives during Cruise and Approach

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4.6 Assignment

Assignment Structural Loads:

Build an AVL Model Citation X

Trim the aircraft during Cruise, and Approach by constraining the AOA to match the CL required.

Produce the lift and pressure distribution for the lifting surfaces.

The report should include,

1. Quick summary of the capabilities and limitations of the vortex lattice code AVL

vortex lattice code AVL

2. 3-D wire-frame drawing of the Citation X model

3. AVL Lift distribution and pressure distribution plot for Cruise and Approach

Due: Update Report Friday 11-20-09 at 5:00 pm Final Report Friday 12-4-09 at 5:00 pm

References

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