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Aircraft Design
              Aero474
        Dr. Mohammad Tawfik
E-mail: Mohammad.tawfik@gmail.com


                                           Aero474
                                    Aircraft Design
Design Example




                        Aero474
                 Aircraft Design
Problem definition
•   A military training aircraft
•   Load factors +6 & -3G
•   Two pilots, 105 Kg each
•   Baggage 22.5 Kg
•   Takeoff distance of 1500 m
•   Climb to 5000 m
•   Cruise 15 min at a speed of no less than 87 m/s
•   Manoeuvre at 103 m/3 for 60 min
•   Return to base
•   Taxi and parking

                                                             Aero474
                                                      Aircraft Design
Data Collection
●   Data of 30 different aircraft was collected
●   Some relations were plotted and
    regression relations were calculated




                                                  Aero474
                                           Aircraft Design
Thrust History
                      1.2


                       1


                      0.8
T /T ma x(25.98 KN)




                      0.6


                      0.4


                      0.2


                       0
                       1955   1960   1965   1970    1975    1980   1985   1990   1995
                                                   Ye a r




                                                                                         Aero474
                                                                                  Aircraft Design
Empty to Take-off weight
           0.8


          0.75


           0.7


          0.65
W o/W e




           0.6


          0.55


           0.5


          0.45


           0.4
             1000   2000   3000   4000      5000    6000   7000   8000    9000
                                         W o (Kg)




                                                                            Aero474
                                                                     Aircraft Design
Wing loading vs aspect ratio
              550

              500

              450

              400

              350
L (Kg/ m^2)




              300

              250

              200

              150

              100
                    4   4.5   5    5.5   6   6.5          7
                                  AR




                                                          Aero474
                                                   Aircraft Design
JPAT Data




                   Aero474
            Aircraft Design
Preliminary Sizing
●   Using the relations obtained from the data,
    equations could be obtained to fill in the
    equation
●               W o=W e W f W pW c
●   You obtain a quadratic equation in the
    take-off weight which can be solved readily
●   The number was 3220 Kg

                                                Aero474
                                         Aircraft Design
Preliminary Sizing
●   Similarly, the wing loading could be found
                     2
    to be: 290 Kg/m
●   From which you get the wing area to be 11
    m2
●   Which yields and Aspect ratio of 5 and
    span of 7.5 m



                                                Aero474
                                         Aircraft Design
Geometric Considerations
●   From the data collected, the taper ratio of
    0.5 was used
●   The distance between the tail and the is,
    similarly, taken to be 3 times the mean
    wing chord
●   For the area of the stabilizers, the volume
    ratio was the determinant as per a
    reference and taken as 0.7
                                                 Aero474
                                          Aircraft Design
First Sketch




                      Aero474
               Aircraft Design
First Sketch




                      Aero474
               Aircraft Design
Undercarriage Placement




                                 Aero474
                          Aircraft Design
Longitudinal Position




                               Aero474
                        Aircraft Design
Lateral Position




                          Aero474
                   Aircraft Design
Components Weight
●   Formulae are given in different references
    to estimate the weight of different
    components
●   What is really important is the weight
    distribution
●   The distribution of the masses of the
    aircraft will be assumed to be regular as
    per the external size
                                                Aero474
                                         Aircraft Design
Mass Distribution Table




                                 Aero474
                          Aircraft Design
Aerodynamic Performance Estimation




                                      Aero474
                               Aircraft Design
Aerodynamic Performance
             Estimation
●   The Aerodynamic coefficients may be
    evaluated using different methods
●   There are simple formulae to determine
    them
●   You may use some Lattice methods to
    estimate the coefficients
●   You may solve the full Navier Stokes
    equations!
                                                  Aero474
                                           Aircraft Design
For the Example
●   Selection of the aerofoil was NACA4212
    for the wing and NACA0009 for the tail.
●   Using Prandtl lifting line theory, the wing
    and tail lift coefficients were calculated
●   The induced drag coefficient was also
    evaluated using the same theory
●   Finally, the maximum lift coefficient was
    calculated using emperical relations.
                                                  Aero474
                                           Aircraft Design
Total Coefficients
●   Finally, the total lift, drag, and moment
    coefficients were calculated
●   BUT … Flight stability literature indicated
    that the moment and lift coefficients were
    not adequate!
●   First modification was to change the tail
    incidence angle


                                                  Aero474
                                           Aircraft Design
Total Lift
           1.4

           1.2

             1

           0.8

           0.6
CL total




           0.4

           0.2

             0

           -0.2

           -0.4
                  -4   -2   0   2   4   6       8   10   12   14   16    18    20
                                            Alpha




                                                                               Aero474
                                                                        Aircraft Design
Lift-Drag ratio variation with CL
         12



         10



         8



         6
CL/ CD




         4



         2



         0
              0   0.2   0.4   0.6   0.8   1           1.2
                              CL




                                                     Aero474
                                              Aircraft Design
CL-M curves for different
                      altitudes
      2

     1.8

     1.6

     1.4

     1.2

      1                                                                   CL SL
CL




                                                                          CL 5000
     0.8                                                                  CL 10000

     0.6

     0.4

     0.2

      0
           0    0.1   0.2   0.3   0.4   0.5   0.6   0.7   0.8   0.9   1
                                        M




                                                                             Aero474
                                                                      Aircraft Design
CRITICAL!!!
●   Reviewing those results, it was found that
    the lift coefficient at cruise conditions is so
    much near the maximum!
●   To remedy this problem, the wing loading
    was reduced!
●   Increasing the area of the wing, changed
    EVERYTHING!!!


                                                   Aero474
                                            Aircraft Design
Flight Dynamics and Stability




                                       Aero474
                                Aircraft Design
Flight Dynamics and Stability
●   Now that we have all the aerodynamic
    coefficients, we may approach the problem
    of dynamics of the aircraft




                                              Aero474
                                       Aircraft Design
Longitudinal Dynamics &
                 Stability
●   The Response for an impulse elevator
    input could be plotted using the Runge-
    Kutta method
●   The two main modes of motion of the
    aircraft in longitudinal direction are:
    ●   Phugoid
    ●   Short period


                                                 Aero474
                                          Aircraft Design
Pitching Angle Response




                             Aero474
                      Aircraft Design
The reason for instability!




                                 Aero474
                          Aircraft Design
Third iteration!
●   Now, the aircraft need to be modified again!
●   However, before doing all that effort again, let's
    examine the weight requirements of the fuel
●   When recalculating the fuel requirements using
    detailed relations for each step of the mission,
    the weight was reduced
●   That lead to the stability of the aircraft!
●   Fuel weight was reduced by more than 50%!!!

                                                         Aero474
                                                  Aircraft Design
Aerodynamic Refinement
●   A VLM code was developed for the
    aerodynamic analysis of aircraft
    components
●   The results obtained for the combined
    wing-tail problem gave better estimates for
    the aerodynamic characteristics



                                                Aero474
                                         Aircraft Design
Performance Analysis




                              Aero474
                       Aircraft Design
Engine Performance
        14000


        12000


        10000


        8000                                                                       0
                                                                                   3300
T (N)




                                                                                   5000
        6000                                                                       6600
                                                                                   10000
                                                                                   13000
        4000                                                                       16000


        2000


           0
                0   0.1   0.2   0.3   0.4       0.5   0.6   0.7   0.8   0.9    1
                                            M




                                                                                     Aero474
                                                                              Aircraft Design
Drag-Thrust vs Mach Number




                              Aero474
                       Aircraft Design
Max M vs Altitude
               14000


               12000


               10000


               8000
Altitude (m)




               6000


               4000


               2000


                  0
                   0.65   0.67   0.69   0.71      0.73   0.75   0.77   0.79    0.81
                                               M max




                                                                               Aero474
                                                                        Aircraft Design
Vertical Speed vs Mach No.




                              Aero474
                       Aircraft Design
Climb Speed vs Altitude




                             Aero474
                      Aircraft Design
Time to reach Altitude
             500

             450

             400

             350

             300
Time (Sec)




             250

             200

             150

             100

             50

              0
                   0   2000   4000   6000     8000     10000   12000   14000   16000
                                            Altitude




                                                                                Aero474
                                                                         Aircraft Design
Other Parameters
●   Range
●   Endurance
●   Flight in a horizontal circle
●   Take-off runway
●   Stall speed
●   Time to reach 5000 m

                                           Aero474
                                    Aircraft Design
Wing Loads




                    Aero474
             Aircraft Design
Forces and Moments
     14000                                                                4000
     12000
     10000                                                                3000
     8000
                                                                          2000




                                                                     My
Vz




     6000
     4000                                                                 1000
     2000
        0                                                                   0
             0   1    2       3          4           5                           0   1   2       3       4    5
                          Y                                                                  Y
                                       30000
                                       25000
                                       20000
                                       15000
                                  Mx




                                       10000
                                       5000
                                             0
                                                 0       1   2       3           4   5
                                                                 Y



                                                                                                            Aero474
                                                                                                     Aircraft Design
Aircraft Skeleton




                           Aero474
                    Aircraft Design
Wing Section




                      Aero474
               Aircraft Design
Cost Estimates
●   Engineering hours
●   Tooling hours
●   Manufacturing hours
●   Quality control hours
●   Development Support
●   Flight test cost
●   Material cost
●   Avionics
●   Engine
                                            Aero474
                                     Aircraft Design
Homework #5
●   Prepare a 30 minutes presentation
●   Presentation includes all your work up to
    this point
    ●   History, data, project plan, etc...
●   Plus preliminary weight estimations and
    geometric considerations


                                                     Aero474
                                              Aircraft Design

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Aero474 Design Example

  • 1. Aircraft Design Aero474 Dr. Mohammad Tawfik E-mail: Mohammad.tawfik@gmail.com Aero474 Aircraft Design
  • 2. Design Example Aero474 Aircraft Design
  • 3. Problem definition • A military training aircraft • Load factors +6 & -3G • Two pilots, 105 Kg each • Baggage 22.5 Kg • Takeoff distance of 1500 m • Climb to 5000 m • Cruise 15 min at a speed of no less than 87 m/s • Manoeuvre at 103 m/3 for 60 min • Return to base • Taxi and parking Aero474 Aircraft Design
  • 4. Data Collection ● Data of 30 different aircraft was collected ● Some relations were plotted and regression relations were calculated Aero474 Aircraft Design
  • 5. Thrust History 1.2 1 0.8 T /T ma x(25.98 KN) 0.6 0.4 0.2 0 1955 1960 1965 1970 1975 1980 1985 1990 1995 Ye a r Aero474 Aircraft Design
  • 6. Empty to Take-off weight 0.8 0.75 0.7 0.65 W o/W e 0.6 0.55 0.5 0.45 0.4 1000 2000 3000 4000 5000 6000 7000 8000 9000 W o (Kg) Aero474 Aircraft Design
  • 7. Wing loading vs aspect ratio 550 500 450 400 350 L (Kg/ m^2) 300 250 200 150 100 4 4.5 5 5.5 6 6.5 7 AR Aero474 Aircraft Design
  • 8. JPAT Data Aero474 Aircraft Design
  • 9. Preliminary Sizing ● Using the relations obtained from the data, equations could be obtained to fill in the equation ● W o=W e W f W pW c ● You obtain a quadratic equation in the take-off weight which can be solved readily ● The number was 3220 Kg Aero474 Aircraft Design
  • 10. Preliminary Sizing ● Similarly, the wing loading could be found 2 to be: 290 Kg/m ● From which you get the wing area to be 11 m2 ● Which yields and Aspect ratio of 5 and span of 7.5 m Aero474 Aircraft Design
  • 11. Geometric Considerations ● From the data collected, the taper ratio of 0.5 was used ● The distance between the tail and the is, similarly, taken to be 3 times the mean wing chord ● For the area of the stabilizers, the volume ratio was the determinant as per a reference and taken as 0.7 Aero474 Aircraft Design
  • 12. First Sketch Aero474 Aircraft Design
  • 13. First Sketch Aero474 Aircraft Design
  • 14. Undercarriage Placement Aero474 Aircraft Design
  • 15. Longitudinal Position Aero474 Aircraft Design
  • 16. Lateral Position Aero474 Aircraft Design
  • 17. Components Weight ● Formulae are given in different references to estimate the weight of different components ● What is really important is the weight distribution ● The distribution of the masses of the aircraft will be assumed to be regular as per the external size Aero474 Aircraft Design
  • 18. Mass Distribution Table Aero474 Aircraft Design
  • 19. Aerodynamic Performance Estimation Aero474 Aircraft Design
  • 20. Aerodynamic Performance Estimation ● The Aerodynamic coefficients may be evaluated using different methods ● There are simple formulae to determine them ● You may use some Lattice methods to estimate the coefficients ● You may solve the full Navier Stokes equations! Aero474 Aircraft Design
  • 21. For the Example ● Selection of the aerofoil was NACA4212 for the wing and NACA0009 for the tail. ● Using Prandtl lifting line theory, the wing and tail lift coefficients were calculated ● The induced drag coefficient was also evaluated using the same theory ● Finally, the maximum lift coefficient was calculated using emperical relations. Aero474 Aircraft Design
  • 22. Total Coefficients ● Finally, the total lift, drag, and moment coefficients were calculated ● BUT … Flight stability literature indicated that the moment and lift coefficients were not adequate! ● First modification was to change the tail incidence angle Aero474 Aircraft Design
  • 23. Total Lift 1.4 1.2 1 0.8 0.6 CL total 0.4 0.2 0 -0.2 -0.4 -4 -2 0 2 4 6 8 10 12 14 16 18 20 Alpha Aero474 Aircraft Design
  • 24. Lift-Drag ratio variation with CL 12 10 8 6 CL/ CD 4 2 0 0 0.2 0.4 0.6 0.8 1 1.2 CL Aero474 Aircraft Design
  • 25. CL-M curves for different altitudes 2 1.8 1.6 1.4 1.2 1 CL SL CL CL 5000 0.8 CL 10000 0.6 0.4 0.2 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 M Aero474 Aircraft Design
  • 26. CRITICAL!!! ● Reviewing those results, it was found that the lift coefficient at cruise conditions is so much near the maximum! ● To remedy this problem, the wing loading was reduced! ● Increasing the area of the wing, changed EVERYTHING!!! Aero474 Aircraft Design
  • 27. Flight Dynamics and Stability Aero474 Aircraft Design
  • 28. Flight Dynamics and Stability ● Now that we have all the aerodynamic coefficients, we may approach the problem of dynamics of the aircraft Aero474 Aircraft Design
  • 29. Longitudinal Dynamics & Stability ● The Response for an impulse elevator input could be plotted using the Runge- Kutta method ● The two main modes of motion of the aircraft in longitudinal direction are: ● Phugoid ● Short period Aero474 Aircraft Design
  • 30. Pitching Angle Response Aero474 Aircraft Design
  • 31. The reason for instability! Aero474 Aircraft Design
  • 32. Third iteration! ● Now, the aircraft need to be modified again! ● However, before doing all that effort again, let's examine the weight requirements of the fuel ● When recalculating the fuel requirements using detailed relations for each step of the mission, the weight was reduced ● That lead to the stability of the aircraft! ● Fuel weight was reduced by more than 50%!!! Aero474 Aircraft Design
  • 33. Aerodynamic Refinement ● A VLM code was developed for the aerodynamic analysis of aircraft components ● The results obtained for the combined wing-tail problem gave better estimates for the aerodynamic characteristics Aero474 Aircraft Design
  • 34. Performance Analysis Aero474 Aircraft Design
  • 35. Engine Performance 14000 12000 10000 8000 0 3300 T (N) 5000 6000 6600 10000 13000 4000 16000 2000 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 M Aero474 Aircraft Design
  • 36. Drag-Thrust vs Mach Number Aero474 Aircraft Design
  • 37. Max M vs Altitude 14000 12000 10000 8000 Altitude (m) 6000 4000 2000 0 0.65 0.67 0.69 0.71 0.73 0.75 0.77 0.79 0.81 M max Aero474 Aircraft Design
  • 38. Vertical Speed vs Mach No. Aero474 Aircraft Design
  • 39. Climb Speed vs Altitude Aero474 Aircraft Design
  • 40. Time to reach Altitude 500 450 400 350 300 Time (Sec) 250 200 150 100 50 0 0 2000 4000 6000 8000 10000 12000 14000 16000 Altitude Aero474 Aircraft Design
  • 41. Other Parameters ● Range ● Endurance ● Flight in a horizontal circle ● Take-off runway ● Stall speed ● Time to reach 5000 m Aero474 Aircraft Design
  • 42. Wing Loads Aero474 Aircraft Design
  • 43. Forces and Moments 14000 4000 12000 10000 3000 8000 2000 My Vz 6000 4000 1000 2000 0 0 0 1 2 3 4 5 0 1 2 3 4 5 Y Y 30000 25000 20000 15000 Mx 10000 5000 0 0 1 2 3 4 5 Y Aero474 Aircraft Design
  • 44. Aircraft Skeleton Aero474 Aircraft Design
  • 45. Wing Section Aero474 Aircraft Design
  • 46. Cost Estimates ● Engineering hours ● Tooling hours ● Manufacturing hours ● Quality control hours ● Development Support ● Flight test cost ● Material cost ● Avionics ● Engine Aero474 Aircraft Design
  • 47. Homework #5 ● Prepare a 30 minutes presentation ● Presentation includes all your work up to this point ● History, data, project plan, etc... ● Plus preliminary weight estimations and geometric considerations Aero474 Aircraft Design