Final Report of Conceptual Design and Development of
Multi-Role Fighter Aircraft (PAF-X)
Muzammil Ashraf, Waleed Bin Arshad, Ahmed Ali, Muhammad Asad, Muhammad Safdar, M.Atif Raheem
NUST, College of Aeronautical Engineering, Risalpur, Pakistan, 20480
The aircraft design process is the engineering design process by which aircraft are designed. These depend on
many factors such as customer and manufacturer demand, safety protocols, physical and economic constraints
etc. Design of an aircraft is a complex process. It is accomplished in many stages. The design process starts with
the aircraft's intended purpose. A military aircraft designed primarily for air-to-air combat against other
aircraft. In this report we have discussed in detail various design methods that we used to design a feasible jet
fighter for Pakistan Air Force. It starts with requirements analysis proceeded by KJ, Kano, functional Analysis
and quality function deployment. Finally we start our sizing and configurations based on our initial guess of
weight. Towards the end of process we have applied the morphological matrix method in our design and created
feasible concepts out of it and explained them in their first stages. CAD models of all concepts were made. All
the concepts were tested for aerodynamics and stability analysis. Then we applied some innovative ideas from
TRIZ parameters .Finally we selected our final concept based on wealth of knowledge gained by all the
methods. At the end our PAF-X is compared with baseline aircraft i.e. F-22 Raptor.
Keywords: Design and Development,KJ Analysis, Kano Model, House Of Quality, Initial Sizing, Constraint
Analysis, Configuration Layout Morphological Charts, Morphological matrix, TRIZ method
Nomenclature
DAs
RFP
Wo
GAs
HOQ
MDO
MM
STOL
KJ
QFD
FFBD
TO
=
=
=
=
=
=
=
=
=
=
=
=
Design attributes
Request for Proposal
Empty Weight
General Attributes
House of quality
Multi-disciplinary optimization
Morphological Matrix
Short Take-off and Landing
Jiro Kawakita
Quality Function Deployment
Functional Flow Block Diagram
Take Off
I. Introduction
The conceptual design is a very important stage in the process of aircraft development. The work in this stage has
a decisive impact on the aircraft’s final capability.it is an iterative process which goes on changing during the process
and finally we come up with some innovative idea. For conceptual design and development of a fighter jet we were
given a request for proposal from our instructor. We were a group of six members. The process started in Oct 2015
when our instructor held our hand to teach us some interesting and important methods for designing an aircraft. First
of all we inspected the RFP and listed down the requirements from it .we made some changes or the better design.
Then all the requirements were divided into groups .we identified must have’s, linear satisfier and added some wow
factors. HOQ was tabulated and we got the important engineering attributes for our design process .all the requirements
were converted into functions through FFBD.We followed the rhymer’s approach for our sizing and configuration
layout. Dessault CATIA 5 was used to make CAD models for our aircraft. MM was used to generate feasible designs
and TRIZ principals were applied to bring innovations in our designs. Finally a design was selected on the basis of
aerodynamic and stability analysis using XFLR, XFOIL. At the end our final conceptual design in proposed for further
validation of tests and changes.
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II. Request For Proposal
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II.
Requirements Analysis
We have read the RFP given above and taken out following customer’s requirements. Some changes are
made to accommodate the requirement of new design as it was the same RFP last semester.
Type A/C
:
Multi-Role fighter
Range
:
1200 nm
Payload
:
4250 kg
STO
:
762.5 m
SLand
:
715 m
Combat Alt
:
30000 ft.
Cruise Altitude
:
20000 ft.
Cruise Mac
:
1.2
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Cruise Range
Loiter
Ceiling
Max. Mach
Load Factor
:
:
:
:
:
150 nm
20 minutes
35000ft
2
9g’s (combat)
III.
KJ Analysis
On the basis of our extraction of requirements from given RFP we carried out the process of KJ analysis. During
the KJ analysis, the whole group sat down together, did some brain storming and wrote down the requirements on
small chits and combined the chits with similar parameters together and made different groups. Later each group was
given a particular name. The results of our KJ analysis are as below:
Operations
Design mission Specs
Top speed
Capable of sustaining 7gs
Mach) max of 2
Ferry range of 1200 nm
Landing and takeoff distance 715 m.
Night ops
Highly maneuverable
Climb to 20000 ft.
Cruise of 150 nm
Cruise at Mach 1.2 for 20 minutes
Constraints
Service ceiling up to 35000 ft.
Structural load factor of 9gs
Durability
Service life of at least 3000 hours
Robust
Survivability
No fail system
Fail safe system
Recovery of components and crew
Damage resistant
User Friendly
Easy flight controls
Easy to assemble
IV. KANO Model
In the KANO model, the requirements from the KJ analysis are divided into three categories and are rated. These
three categories are:
•
Must have’s
•
Linear satisfiers
•
Wow factors
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We have given ratings as per RFP focus. Maximum importance is given as number 9 and minimum as number 1.
Our KANO model along with their customer ratings is as below
MUST HAVE’S
LINEAR SATISFIERS
Easy to assemble
Service ceiling less than 35000 ft.
All weathers
Capable of 7 g’s
Cruise at 20000 ft.
Endurance of 20 minutes at MACH 1.2 9
Service life of 3000 hours
8
Highly maneuverable
9
Cruise speed of 150nm
8
Ejection
9
Structural Load factor of 9 g’s
8
No fail system
8
Fail safe systems
7
Night ops
7
Maximum MACH of 2
8
Landing and takeoff distance 6000 ft. 7
Range of 2200km
8
8
8
9
7
8
WOW FACTORS
Easy flight controls
Robust
Stealth
V.
Functional Analysis
This design method focuses on the intended functions that our product is going to perform. It starts from end result
desired by the customer. Then it’s broken down to different sub functions.
Basic functions: function that is the reason of design.
Secondary function: methods that are supporting the basic function
In our functional analysis we have divided our basic function of multi-role fighter into 6 sub-functions that are
further divided into sub levels of 2 and 3. These are given as below in functional flow block diagram (FFBD)
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9
8
7
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VI.
Quality Function Deployment
This ranking is determined by communicating with the customer
And ranked accordingly.
There are many segments in the house of quality relating various parameters with each other depending upon their
relationship.
Customer Requirements or WHATS
Customer Requirements or WHATS represent a ranking of how important each requirement is to the customer.
This ranking is determined by communicating with the customer.
Engineering Attributes or HOWS
The engineering attributes (called HOWS) are selected based on the customer requirements. The EAs are the
measurable set of parameters that help meet the customer requirements satisfactorily.
Customer Requirements and Engineering Attributes Relationship
With these WHATS and HOWS occupying the left and top floor of the house, first floor on the right side is used
to see their relationship to ascertain the design drivers. To make this analysis meaningful, a numbered scale of 0 1 3
and 9 is used.
Correlation Matrix
The roof of the HOQ shows correlation of the Engineering Attributes (EAs) with each other. The aim of
establishing such a correlation is to identify all the conflicts and agreements among various EAs that would become
part of the product.
Competition Benchmarking
The competition benchmarking is carried out to ascertain how new product competes against the existing ones in
meeting each of the customer requirements
Relative and Absolute Importance
Finally, the bottom section of the QFD chart is used to enter a computed total of all the scores given to EAs based
on how well they would fulfill the customer requirements. This is ascertained on the absolute as well as the relative
scale
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From the HOQ deployment we have come to know that following are our main design drivers
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1 .Yield Strenght
2 . L/D) max
3 . W/S
4 . CL) max
5 . Thrust
VII.
Baseline Aircraft
F-22 raptor was taken as baseline aircraft
Specifications of F-22 are as
Length – 62 ft/18.90 m
Wingspan – 44.5 ft / 13.56m
Wing area – 840sq ft / 78.04 sq m
Empty weight – 43,340 lb / 19700kg
Speed – Mach 2
Range – 1600nm
Engine thrust – 35000 lb / 15876 kg
Airfoil – NACA 64A205
Wing loading – 77.2lb/ft2
Thrust/Weight – 1.08
Service ceiling – 65000ft / 20000 m
VIII.
Mission Profile
The mission profile is divided into nine different segments. The Mach number, altitude and the speed of the aircraft
at different segments during the whole mission was given in the RFP. The mission profile as per our RFP is as follows:
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0 – 1 : Warm up and takeoff.
1 – 2 : Climb/Accelerate
2 – 3 : Cruise M 1.2 @ 20,000 ft, 150 nm
3 – 4 : Descent
4 – 5 : Combat/Weapon drop @ 15000 ft, 7g.
5 – 6 : Climb/Accelerate
6– 7 : Cruise M 1.2 @ 20,000 ft, 150 nm
7 – 8 : Descent
8 – 9 : Loiter 20 min
9 – 10 : Landing and Taxi Back
IX.
Initial Weight Sizing
Initial takeoff gross weight is calculated from a conceptual sketch using a simplified sizing method. This method
works by taking data from historical trend and can be used for all types of mission profiles.
Gross Weight Estimation
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Calculation of the design gross weight is the first step of the takeoff weight build up. It is the
total weight of the aircraft for the designed mission. This weight should not be confused with
the maximum takeoff weight. The design takeoff weight is broken down into,
Payload weight (Wpayload)
Crew weight
(Wcrew)
Fuel weight
(Wfuel)
Empty weight
(Wempty)
Wo = Wpayload + Wcrew + Wfuel + Wempty
Now the above equation can be written as,
Wcrew Wpayload
Wf We
1
Wo Wo
Wo=
Crew Weight Estimation
Crew weight is estimated following the historical trends which suggest that for a specially suited
pilot the approximate weight is 75 kg. We are given with the specifications of 2 pilots so:
(a)
Wcrew = 150 kg
Payload Weight
The payload weight is given as a design requirement i.e. 5000 kg. So,
Wpayload = 5000 kg
Empty Weight Estimation
Empty weight fraction is estimated statistically from historical trends.
For a jet fighter,
Where,
We/Wo = A (Woc) (Kvs)
(b)
A = 2.11=2.34
We will use A=2.11 because we are using metric units
C = -0.13
Kvs = 1
Kvs is the variable sweep constant which is 1.04 if the aircraft has variable sweep and 1.00 if the
aircraft has fixed sweep. Our aircraft is a fixed geometry (fixed sweep) so this factor is 1.00.
We/Wo= 2.11 (Wo)-0.13
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Fuel Fraction Estimation
The fuel required / consumed by the aircraft depends upon many factors, some of which are:
Drag of the aircraft
Thrust specific fuel consumption
Size / total weight
So for estimating fuel fraction we must find different weight fractions of the segments of
mission profile.
For different segments we use the weight fractions as:
Weight fraction = Wi / Wi-1
o
Weight Fractions of Different Segments
Segment (0 - 1): Warm-Up, Taxi and Take-Off
At this stage the weight fraction for warm-up, taxi and take-off can be taken from historical
trends.
W1/W0=0.97
Segment (1 - 2): Climb
Again the weight fraction for climb / accelerate can be taken from historical trends.
W2/W1=0.985
Segment (2 - 3): Cruise
Range formula is used for the calculation of weight fraction of cruise segment. It is givens as
R = Range of Cruise= 277800 m (150 nm)
C = TSFC = 0.0002222/sec
V = Velocity during cruise = 379.8 m/sec
H = Altitude = 6080 m (20000ft)
From historical estimation
Swet/Sref = 4.25
The aspect ratio (AR) will be estimated to calculate the value of L/Dmax will be found by calculating Wetted Aspect
Ratio,
� = � / = 2.67
Wetted Aspect Ratio= � /
/
= 0.628
(L/D) max = 11
For cruise,
L/Dcruise = 0.866 * L/Dmax
L/D = 9.526
Now putting all the values in equation for weight fraction of cruise, we get,
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W3/W2 = 0.9834
Segment (3-4): Descent
W4/W3 = 1
Segment (4-5): Combat
W5/W4 = 1
Segment (6-5): Climb
W6/W5 = .985
Segment (6-7): Cruise
W7/W6 = 0.9834
Segment(7-8):Decent
W8/W7=1
Segment(8-9): Loiter
Endurance formula is used for estimation weight fraction of loiter i.e.
Where,
C = SFC = 0.000194238/sec
E = Endurance = 1200 sec
L/Dloiter = L/Dmax (Loiter) = 11
By putting the values in equation for weight fraction for loiter we get,
W9/W8=.9794
Segment(9-10):Landing
W10/W9=.995
The Final Process of Estimating Wo
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Now we finally find the fuel fraction by using the following method:
Wx
Wo =
W1
Wo
W2 W3 W4 W5 W6 W7
W1 W 2 W 3 W 4 W 5 W 6
After putting values in above equations, we get
W11/ Wo = 0.886
Wf / Wo = 0.121
Also we know,
We / Wo = 2.11 (Wo)-0.13
Wo = 5150 / (1 - 0.284 - 2.11WO -.13)
The final take off gross weight was found to be,
Wo = 15740 kg
Empty weight of aircraft,
Wempty= 9455 kg
Weight of fuel
Wfuel= 1884kg
X.
Constraint Analysis
Thrust to Weight
T/W directly affects the performance of the aircraft. An aircraft with higher T/W will, accelerate and climb more
quickly, reach a higher max speed and sustain higher turn rates. On the other hand it consumes much more fuel, thus
increasing the aircraft’s gross weight. T/W is not constant. It varies with altitude, velocity and weight.
Wing Loading
Wing loading is defined as the weight of the aircraft divided by the reference area of the wing. The term W/S refers
to the takeoff condition. This affects the stall speed, climb rate, take off, landing distances, and turn performance. W/S
has a large effect on the takeoff gross weight. The smaller values of wing loading results in a bigger wing, means
larger drag and weight.
Using the design method used by Brandts for constraint analysis given in the notes provided by the instructor we did
the constraint analysis for a jet fighter aircraft.For a jet fighter we have following constraints:
i.
ii.
iii.
iv.
Subsonic combat turn
Supersonic combat turn
Take off
Landing
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From the data taken from these constraints, we plot a graph to get the design regime for our jet fighter which is shown
below
T/W= 0.94
Wo/S= 640.5 kg/m2
XI.
XII.
XIII.
Refined Sizing
Final Refined Weight
The refined weight obtained after iterating the rubber sizing equation came out as follows. The weight increased
slightly because of addition of combat segment which was neglected during rough weight analysis.
Final Refined Weight Fractions
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W10/W0
0.897
Rf
1.060
Fuel Weight Fraction
Wf/W0
0.1090
Empty Weight Fraction
We/W0
Total Weight Fraction
Reserved Fuel
0.540684
Gross takeoff weight
17580kg
Fuel weight
4670kg.
Empty weight
9505.5 kg.
Table 1: Comparison of initial sizing and refined sizing weights
PARAMETERS
INITIAL WEIGHT SIZING
REFINED WEIGHT SIZING
Gross takeoff weight
15740kg
17580kg
Fuel weight
1884kg
4670kg.
Empty weight
9455 kg
9505.5kg.
The refined weight has decreased from the initial weight of 17868.3 kg. The reasons for this increase are:
I.
The weight fractions for different mission segments were mostly calculated on the basis of
historical data which gives very crude results.
II.
The influence of actual aerodynamic parameters such as the T/W ratio and wing loading on
mission segments was not taken into account in initial sizing.
III.
Some mission fragments like Combat and weapon drop were not catered for in the initial weight
sizing.
XIV.
Geometry Sizing
Once the takeoff gross weight has been estimated, the fuselage, wing, and tails can be sized. In this chapter the
geometry sizing for optimized aircraft is shown by making use of tail volume coefficient.
Fuselage
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Fuselage sizing has been done using Table 6.3 of textbook for a jet fighter. The fuselage length will be calculated
as
L=aWoc
Fuselage data calculation
Length = aWoc
a
0.389
Wo
17580.5 kg
c
0.39
Length of Fuselage
17.6 m
Fineness Ratio
12.5
from Raymer(Supersonic)
Fineness ratio = Length/Diameter
12=17.6/diameter
Max. Diameter
1.4 m
Wing
Wing is the main lifting body of the aircraft, so due respect is required for the selection of wing geometry. It depends
a lot on design specifications and the mission requirements
Aspect Ratio (AR)
For Jet Aircraft
Equivalent Aspect Ratio (AR) =
�
a=4.110
c=-0.622
Mmax= 2
So, the Aspect Ratio is 2.87
Wing Sweep
LE Sweep = 90 – sin-1(1 / Mmax)
= 90 – sin-1(1 / 2)
= 60o
But from the historical trends and the sweep angle of F-22 aircraft we selected,
LE sweep = 320
Taper Ratio
λ
= 0.3(F-22 Data)
Twist
Wing twist
=
0o
Incident Angle
Incident angle is Zero degrees for military aircrafts.
Dihedral
It is the angle of the wing with respect to the horizontal when seen from front. When wing is given dihedral angle then
it helps the aircraft in rolling performance. But it is a historical trend that all aircrafts which are designed to have
transport, mission or all those, which require excessive stability they have dihedral angle. Similarly all those aircraft’s,
which require more maneuverability than stability they have, negative dihedral, which is actually anhedral angle.
Using table 4.2 we have
Wing Dihedral = -0.5o
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Wing Vertical Location
A mid-wing configuration has been selected for our aircraft. This arrangement provides superior aerobatic
maneuverability. A high-wing arrangement cannot be used as it restricts the pilot’s visibility to the rear while the lowwing arrangement would not provide ground clearance to carry armaments.
Wing Tips
A more effective and important effect is the influence of the tip shape upon the lateral spacing of the tip vortices. This
is largely determined by the ease with which the high pressure air on bottom of the wing can “escape” around the top
of the wing. There are different types of the wing tips used including; rounded, sharp, cut off, Hoerner, drooped,
upswept, cut of forward sweep, endplate and winglet.
The Wing Tip selected is Cut-off, Forward Swept .It has been selected because the tip is cut off at an angle equal to
the supersonic Mach-cone angle and wing tip contribute a little bit increase in lift. And also the tip reduces the torsional
loads applied to the wing.
The actual wing size can now be determined as the takeoff weight divided by the takeoff wing loading. The parameters
of the wing are given as,
S=Wo/(W/S)
Wo
17580 kg
W/S
640.5 kg/m2
S
27.5 m2
ASPECT RATIO = b2/s
2.87
b = (A.R*s)^0.5 =
8.9 m
λ
0.3
Croot
4.76 m
Ctip
1.43 m
Tail Volume Coefficient
The value of tail volume coefficient is obtained from table 6.4
CHT = 0.4
CVT = 0.07
Area of the tail is related by following relation
�
SVT= �
ST=
Vertical Tail Geometry
�
Lvertical tail
7.91 m
Cvt
0.07
(V Tail) SVT =
2.15 m2
ARVT = bVT2 /Svt
1.1
bvt
1.53 m
Croot (Vertical Tail) =
2.15 m
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Ctip (Vertical Tail) =
0.65 m
Horizontal Tail Geometry
The calculations of horizontal tail geometry are as follows,
CHT
0.4
LHT
7.91 m
Shorizontal tail
4.70 m
ARH.T = bH.T2 /SH.T
3.0
bHT
4.05 m
Taper Ratio
0.3
Croot (Horizontal Tail)
1.78 m
Ctip (Horizontal Tail)
0.53 m
XV.
Crew Station and Payload
Crew Station
The cockpit is designed to provide maximum comfort and vision to the pilot. Provision of easy access to all vital
controls, systems and accessories without causing the pilot’s attention to be diverted is also very important. A single
piece bubble type canopy is used to give easy maintenance. The canopy is hinged to open sideward. For pilot safety a
united Technologies Corporation ACES II ejection seat is installed. It can eject at minimum height of 140 ft.
Seat Back Angle
The cockpit layout uses a 30 degree seat back angle. This can obstruct the pilot’s view but retains the advantage
of pilot bearing high g’s during operation.
Over Nose Vision
Over nose vision is important for safety especially during landing. Following historical trends the over nose for
fighter aircraft is 11-15 degrees.
Vision Angle
Fighters should have completely unobstructed vision above and all the way to the tail of the aircraft. Any canopy
structure should be no more than 2 in. wide to avoid blocking vision.
Bubble canopy is used which provides a 360 degree view.
XVI.
Weapon Carriage
There are four types of weapon carriage which are given below.
•
External
•
Semi-submerged
•
Internal
•
Conformal
Five hard points have been provided four under the wing and one under the fuselage.
The 5000kg payload allows the aircraft to carry a wide variety of modern weapons for air superiority.
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XVII. Propulsion and Fuel System Integration
Selection of the Engine
The designed aircraft is basically a modification of F-22 since it was taken as the reference aircraft so one engine
F-136 AFTERBURNING was used in the F-22 so the thrust requirement of our design is comparable to it. The engine
selected for the design aircraft is “a low bypass turbo fan engine‟. The reason for selecting turbofan engine is that it
has higher thrust than the turbojet engine due to the bypass air; it has comparatively low SFC values. It is efficient at
both subsonic and supersonic speed up to M # 2.
XVIII. Engine Sizing
The sizing of the engines is of the two types:
Fixed engine sizing
Rubber engine sizing
Thrust Required CALCULATION
The max thrust required is calculated as:
Thrust
T/W * Wo
T
16525.5
Therefore the required engine thrust at takeoff comes out to be 16525.5 N.
Scale Factor
The scale factor of an engine is the ratio of the required thrust and the actual thrust of the nominal engine.
Scale Factor =1.05
Because we used fixed engine sizing and used an off shelf engine.
XVII.
Inlet Geometry
Turbofan engines are incapable of efficient operation unless the air entering is slowed to a speed of Mach 0.4 - 0.5,
thus efficient slowing down of the flow with the minimum losses is the key goal of inlet design.
There common types of inlet used on the aircraft are:
i.
NACA Flush Inlet
ii.
Pitot or Normal Shock Inlet
iii.
Conical or Spike Inlet
iv.
2-D Ramp Inlet
The last two types are most suitable for supersonic aircraft.
A new type of supersonic inlet has been under study and is very promising in terms of the engine performance for a
large number of Mach no. range up to Mach 2.25. This Divert less Supersonic Inlet has been chosen.
XIX.
Inlet Geometry Size Calculations
Throat Area
The throat area of spike inlet should be 70-80% of engine front face area
A/A*)THROAT
1.03823
A/A*)ENGINE
1.59014
A)THROAT/ A)ENGINE
0.652917 m2
Diffuser Length
Length
Diameter
1.90
1.82
m
m
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Inlet Location
Two side have been used for the design aircraft.
Like nose inlet, it offers clear airflow as it is free of wing and fuselage distortions .Unlike nose inlet, it has a shorter
length and thus reduced weight. It is good at high angles of attack as fuselage fore-body helps to turn the flow into it.
Nose landing gear problems encountered in single chin inlet can be minimized as the side would be located at the side
of nose landing gear.
Capture Area Calculation
To determine capture area mass flow is multiplied by value selected from following figure.
Capture area /mass flow =
0.0057 m2/kg/s
from fig 10.16 (Raymer)
Mass flow =
26*(engine front face diameter) 2
Mass flow =
38.56305024
kg/s
Capture Area = 0.219809386
m2
Boundary Layer Diverters
Five kinds of diverters are used which have been named below
Step Diverter
Boundary layer by-pass duct
Boundary layer suction
Channel type boundary layer diverter
Diverter-less Supersonic inlet
Nozzle Integration
Keeping in view the above requirement, Converging Iris Nozzle has been selected. It performs the same function as
a variable convergent nozzle but has an edge over the variable convergent nozzle in terms of drag reduction, as it does
not introduce a base area when it is in closed position.
XX.
Fuel System
Fuel Type
Using table 10.5 the design fuel is JP-5 which has a largest Mil-spec density of 6.8 lb. /gal and thus occupies the
least space.
Fuel Tanks
Bladder Tanks are used for design aircraft. They are made up of rubber and can occupy different shapes. They are
self-sealing and if a bullet passes through a self-healing tank, the rubber will fill in the hole preventing a large fuel
loss and fire hazard.
XXI.
Landing Gear and Subsystems
Landing Gear Attachment
From considerations of surrounding structure, the nose and main assembly are located such that the landing and
ground loads can be transmitted most effectively, while at the same time still comply with the stability and
controllability considerations.
Landing Gear Arrangements
The selected landing gear arrangement is “TRICYCLE GEAR”.
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Tyre Sizing
The tires are sized to carry the weight of the aircraft. Typically main tires carry about 90% of the total weight of the
aircraft, rest is carried by nose wheel.
To estimate the size of our fighter we use following statistical tire sizing table from Raymer using table 11.1.
Specifications of selected of main landing gear tire:
Speed
230
mph
Max Load
17580
kg
Max Dia
.74
m
Rolling R
.32
m
Wheel Dia
.40
m
No Of Piles
18
Gear Retraction
In high speed modern aircraft especially jet fighters retractable gears are used. Non-retractable gears are impractical
at high speeds as they offer a large amount of drag.
Fuselage Retraction System is selected for the design aircraft.
XXII. Aerodynamics
Aircraft aerodynamics is the study of the behavior of airflow passing over the aircraft and the forces generated due
to it. In other words all aerodynamics lift and drag forces result from the combination of shear force and pressure
forces. The drag on wing includes forces variously called airfoil profile drag, skin friction drag, separation drag,
parasite drag, camber drag, drag due to lift, wave drag, interference drag and so forth. However, we will restrict our
(a) Lift
1) CL vs. Mach No.
For subsonic flight,
πA
CL =
+√4+
ta 2 Λ axt
AR 2 β 2
{ +
}
β2
η2
xp
r
F
As this is a fighter aircraft having a supersonic cruise CL is calculated for subsonic, transonic and supersonic regimes.
So, after putting these values for subsonic we get a graph for CL vs. M # for subsonic lift curve slope. Similarly by
using supersonic charts we calculated CL with best approximation available and the transonic regime CL vs. M #
slope was derived by interpolating the values as suggested in textbook.
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College of Aeronautical Engineering,NUST,Risalpur,PK
(b) Drag
2) Parasite Drag
Drag forces, which are not strongly related, to lift are termed usually as parasite drag. The skin friction drag of a flat
plate of the same wetted area as the aircraft can be determined for the various Reynolds number and skin roughness.
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College of Aeronautical Engineering,NUST,Risalpur,PK
1) Scrubbing Drag
Scrubbing drag is the increase in skin friction drag due to prop wash or jet exhaust impinging upon the aircraft skin.
Prop wash or jet exhaust increases the effective velocity and also assures turbulent flow over the aircraft. Both of these
increases drag.
2) Form Drag
Viscous separation drag is termed as form drag. This depends upon the location of the flow separation point on the
body. This flow separation is due to the viscous effect. The form drag is less if the flow separates far away on the body
than due to separation at a shorter distance. The location of separation depends on the curvature of the body and also
on the energy in the flow. A turbulent flow has more energy than a laminar flow. So turbulent flow will have less form
drag.
3) Profile Drag
The subsonic drag of a streamlined non lifting body depends only upon the skin friction and viscous separation drag.
This subsonic drag is called the profile drag. Sometimes profile drag is referenced to the maximum cross sectional
area.
4) Interference Drag
This is the drag due to the various components of the aircraft and their interference. These components affect the
airflow over the body and increase drag. For example the fuselage increases the drag of wing and encourages flow
separation at the wing root.
5) Wave Drag
This is the drag produced from formation of shocks at supersonic and high subsonic speeds. At high subsonic speeds
the shocks form first on the upper surface of the wings because the air is accelerated as it passes over the wing.
6) Induced Drag
The drag that is directly related to lift is induced drag or sometimes termed as “drag due to lift”. The airflow
circulation over the 3D wing of the aircraft causes induced drag. This circulation produces vortices at the rear edge of
the wing. This vortex is produced by extracting energy from the airflow.
This produces the drag force and is directly proportional to the square of lift
7) Equivalent Skin Friction Drag:
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An estimate of parasite drag for subsonic cruise of aircraft can be obtained from equivalent skin friction drag.
As CD0 is a function of Re no so with an increase in Mach no, Re no increases and hence CD0 decreases. But in case
of altitude, CD0 increases with increasing altitude because density is decreased. Parasite drag coefficient is different
at different altitudes and it varies with Mach no also. The drag in the subsonic region is mainly due to friction. As the
Mach # increases above MDD, CD0 starts increasing due to formation of shocks and the increment in supersonic
regime is purely due to wave drag.
Induced drag is purely a pressure drag. It is caused by the wing tip vortices which generate an induced, perturbing
flow field over the wing which in turn perturbs the pressure distribution over the wing surface. Oswald efficiency e is
a function of the leading edge sweep also and that’s why as the e changes so the factor K. CL is also a function of
velocity as the velocity decreases the value of CL increases to sustain the same amount of lift. So the variation of K
is evident from the above graph with the CL and then with the increase of Mach #.
8) Drag Polar
Drag polar is the standard presentation format for aerodynamic data used in performance calculations. It is simply the
plot of coefficient of lift vs. coefficient of drag. Virtually all aerodynamic information of the aircraft is wrapped up in
the drag polar.
Drag polar graph shows the complete behavior of CL and CD at various mach numbers. With increase in CD there is
a corresponding increase in CL for the constant Mach no. And for a constant value of CL there is a corresponding
decrease in CD with increasing Mach numbers.
Drag Polar: CD = CD0+KCL2
The slope of the tangent line from origin to the drag polar gives the point of maximum lift to drag ratio (L/Dmax).
i.
With increase in CL there is a corresponding increase in CD for the same Mach No.
ii.
For the same values of Cl there is a corresponding decrease in Cd with increase in Mach number
iii.
Subsonic drag-coefficient rise with an increase in lift coefficient is more prominent as the leading edge
sweep is quite high. So for the same amount of drag produced the Lift generated by the wing is less.
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XXIII. Stability, Control and Handling Qualities
. The basic concept of stability is simply that a stable aircraft, when disturbed, tends to return by itself to its original
state (pitch, yaw, roll, velocity etc.). But Stability and Control are opposite to each other, so the best combination is a
good tradeoff between stability and controllability. For jet fighters, the controllability requirement is comparatively
higher than the stability requirement because the aircraft is supposed to carry out extreme maneuvers.
Static Stability
Static stability is present if the forces created by the disturbed state push in the correct direction to return the aircraft
to its original state. The requirement for good stability, control and handling quantities are addressed through the use
of tail volume coefficient method and through location of aircraft center of gravity at some percent of wing mean
aerodynamic chord.
Dynamic Stability
Dynamic stability is present if the dynamic motions of the aircraft will eventually return the aircraft to its original
state. The manner in which the aircraft returns to its original state depends upon the restoring forces, mass distribution,
and damping forces. Damping forces slow the restoring rates.
It should be noted that dynamic instability is not always unacceptable provided that it occurs slowly. Most aircraft
have at least one unstable mode, the spiral divergence. This divergence mode is so slow that the pilot has plenty of
time to make the minor roll correction required to prevent it. In fact, pilots are generally unaware of the existence of
the spiral-divergence mode because the minor corrections required are no greater than the roll corrections required for
gusts.
Dynamic-stability analysis is complex and requires computer programs for any degree of accuracy. Therefore the
stability analysis of design aircraft presented in this section evaluate static stability only.
LONGITUDINAL STABILITY
The overall Cmα of aircraft is positive indicating that aircraft is unstable in longitudinal axis. This is somewhat desirable
for a fighter jet, as it makes the aircraft highly maneuverable. To cater for stability an automatic control system is
employed.
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XXIV. CMARC and GAMBIT Results
We tested the wing and tail geometry in CMARC and Gambit .but due to some errors we were unable to get require
results .however the effort is shown here
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College of Aeronautical Engineering,NUST,Risalpur,PK
These screenshots shows the pressure and co-efficient of pressure distribution on the wing surface
XXV. ANSYS RESULTS
Ansys 12 was used for structural testing . due to selection of small AR i.e. 2.87 areas between the nodes were not
large enough for meshing .so meshing through pressure distribution was used .
Some errors were encountered and results are below
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College of Aeronautical Engineering,NUST,Risalpur,PK
XXVI. Morphological Charts
It is a study of form or structure which means we draw various charts of our required design leading us to multiple
options.
So, basically morphology matrix is a concept generation process. We are interested in functions we need neglecting
how those functions are performed. We combine these individual functions into overall concepts that meet all
functional requirements.
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•These method can generate number of ideas if not controlled
•Each function is considered independent
•Sketches are drawn for the generated concepts
Morphology Matrix for Fighter Aircraft
Morphology matrix for fighter aircraft was drawn and seven concepts were generated considering configuration
propulsion and structure domains.
MORPHOLOGY CHART
SYSTEMS
C
O
N
F
I
G
U
R
A
T
I
O
N
P
R
O
P
U
L
S
I
O
N
S
T
R
U
C
T
U
R
E
S
OPTIONS
canopy
Single
double
Intake location
Wing root
Over the wing
Chin
Armpit
Inlet types
Conical or spike
2-D ramp
Pitot inlet
Flush inlet
Boundary layer diverter
Bypass duct
Step diverter
Channel type
Boundary layer suction
Fuel tanks
Internal
External fixed
Drop tanks
Engine location
Under wing
Tail mounted
Over wing
fuselage
cylindrical
Area ruled
oval
Landing gear
tricycle
bicycle
Quadricycle
Number of engines
single
Twin engine
Gears retraction
Wing-fuselage junction
Fuselage
Weapon carriage
internal
External
Weapon drop
Guided
unguided
Semi submerged
Rear fuselage
conformal
Nozzle
Fixed convergent
Variable convergent
Wing position
Anhydral
dihedral
Convergent iris
Flight controls
Hydraulic
pneumatic
electric
mechanical
Wing type
trapezoidal
delta
rectangular
blended
Wing vertical position
Mid wing
High wing
Low wing
Horizontal surfaces
Wing and elevators
Canard and wing
Delta wings
Tail arrangement
Conventional V.H tail
v-tail
Twin-Tail
Missile launch mechanism
Rail launch
Ejection launch
Shock Absorber
Oleo pneumatic shocked
strut
Levered bungee
engine type
Turbojet
Turbo fan
Thrust
Internal combustion
IC and Afterburner
Fuel system
Integral
bladder
Discrete
wing Materials
Aluminum alloy
Advanced composites
Carbon composites
Hybrid
Fuselage Materials
Aluminum alloy
Advanced composites
Carbon composites
Hybrid
Landing Gear Materials
Titanium alloy
Graphite Epoxy
Low Carbon Steel
Triple -Tail
Triangulated
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XXVII. TRIZ METHOD APPLICATION TO PAF-X
Problem Solving using TRIZ tools:TRIZ consists of 5 problem solving tools. These are listed below;
• Inventive Principles to solve technical contradictions (the contradiction matrix)
• Separation Principles to solve Physical contradictions (using available resources)
• Standards for transformation of technical systems (for improving useful function and eliminating harm)
• Scientific and Technical Effects (for synthesis of functions)
• ARIZ - Algorithm to solve a (complex) inventive problem (with no explicit contradiction)
PARAMETERS USING TRIZ METHOD
1- Weight of moving object
2- Weight of stationary object
3- Length of stationary object
4- Length of moving object
5- Speed
6- Force
7- Shape
8- Strength
9- Power
10- Reliability
11- Ease of repair
12- Ease of manufacture
13- Device complexity
14- Adaptability
15- Manufacturing precision
16- productivity
Application of TRIZ method:There are 40 principles of TRIZ method. We used 08 out of those 40 principles and applied them on our design. The
principles that we used are discussed below;
Principle 1(SEGMENTATION):
As this principle suggests to divide an object into independent parts, to make the object easy to assemble and
disassemble. We used this principle of TRIZ method in our project, and we replaced our delta wing with the simple
trapezoidal wing and elevators.
Principle 2(TAKING OUT):
This principle states the separation of an interfering part or property from an object, or single out the only necessary
part. We used this principle of TRIZ method in one of our aircraft designs, and we eliminated the elevators and used
the delta wing instead, which incorporates the use of elevators also.
Principle 4(Asymmetry):
This principle stresses upon the asymmetry of the object part under consideration. In our aircraft design we used
wing root intake which gave symmetry to our aircraft then we changed side wing root intake to chin intake
according to TRIZ principle 4(Asymmetry) which says ”Change from circular O-rings to oval cross-section to
specialized shapes to improve sealing”.
Principle 6(Universality):
This principle suggests to make a part or object perform multiple functions; eliminate the necessity of other parts.
Using this method, we used the effect of simple wings and elevators, and designed a delta wing, which also
incorporated the function of elevators. We also used the Canard in replacement of the elevators, which increases the
lift of an aircraft.
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Principle 7(Nested Doll):
This principle tells us to place one object inside another; place each object, in turn, inside the other. Using this
principle, we designed our intakes. The location of these intakes was at wing roots. We also used this concept foe
designing the T-tail.
Principle 8(Anti-Weight):
Following Anti-weight principle which states that” To compensate for the weight of an object, merge it with other
objects that provide lift” we shifted our elevators in the form of T-tail causing reduction in weight and producing
more lift. While designing intake we changed our intake from wing root to chin type reducing aircraft weight. We
used composite materials and Aluminum alloys which give more strength with less weight.
Principle 24(Intermediary):
Intermediary principle allows us to design removable parts so that extra weight drag and fuel consumption
can be avoided. This principle tells “Merge one object temporarily with another (which can be easily
removed)”. We used drop tanks in our design which can be removed according to prevailing situation to the
pilot.
Principle 26(Copying):
TRIZ method suggests that instead of developing a total new product, which can be difficult to design, we
can take a pre-designed product as a reference to start with. WE designed a chin intake, and we used F-16
aircraft as our reference for the design of chin intake. We used RAFAEL aircraft as our reference for the
design of canard, and we designed canard for our aircraft. We used MIRAGE aircraft for the reference of
delta wing, and we designed the delta wing for our aircraft using this reference.
XXVIII.
CONCEPT GENERATION
These are the different concepts that were driven out of the main morphological matrix. TRIZ principles were also
applied on these concepts. The catia model and the morphological matrix of all our concepts are shown below;
Concept
1
CONFIGURATION
canopy
single
Intake location
wing root
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
internal
Engine location
rear fuslage
fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
Nozzle
fixed convergent
Wing position
Anhydral
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PROPULSION
STRUCTURES
Flight controls
electric
Wing type
delta
Wing vertical position
mid wing
Horizontal surfaces
canard and wing
Tail arrangement
conventional Vertical tail
Missile launch mechanism
ejection launch
Shock Absorber
oleo-pneumatic
engine type
turbo-jet
Thrust
internal combustion
Fuel system
bladder type
wing Materials
Advanced composites
Fuselage Materials
Advanced composites
Landing Gear Materials
titanium alloy
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Concept 2
CONFIGURATION
Canopy
single
Intake location
wing root
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
internal
Engine location
rear fuslage
Fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
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PROPULSION
STRUCTURES
Nozzle
fixed convergent
Wing position
dyhedral
Flight controls
pneumatic
Wing type
trapozoidal
Wing vertical position
mid wing
Horizontal surfaces
wing and elevators
Tail arrangement
conventional V.H tail
Missile launch mechanism
ejection launch
Shock Absorber
oleo-pneumatic
engine type
turbo-fan
Thrust
internal combustion
Fuel system
bladder
wing Materials
Aluminum alloy
Fuselage Materials
Aluminum aaloy
Landing Gear Materials
low carbon steel
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Concept 3
CONFIGURATION
Canopy
single
Intake location
wing root
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
internal
Engine location
rear fuslage
Fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
Nozzle
fixed convergent
Wing position
dyhedral
Flight controls
electric
Wing type
trapozoidal
Wing vertical position
mid wing
Horizontal surfaces
wings and elevators
Tail arrangement
T-tail
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PROPULSION
STRUCTURES
Missile launch mechanism
rail launch
Shock Absorber
triangulated
engine type
turbo-jet
Thrust
internal combustion
Fuel system
integral type
wing Materials
Aluminum alloy
Fuselage Materials
aluminum alloy
Landing Gear Materials
low carbon steel
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Concept 4
CONFIGURATION
canopy
single
Intake location
wing root
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
External
Engine location
rear fuslage
fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
Nozzle
fixed convergent
Wing position
dyhedral
Flight controls
electric
Wing type
Delta
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PROPULSION
STRUCTURES
Wing vertical position
mid wing
Horizontal surfaces
wings and elevators
Tail arrangement
V-tail
Missile launch mechanism
rail launch
Shock Absorber
triangulated
engine type
turbo-jet
Thrust
internal combustion
Fuel system
integral type
wing Materials
Aluminum alloy
Fuselage Materials
aluminum alloy
Landing Gear Materials
low carbon steel
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Concept 5
CONFIGURATION
canopy
single
Intake location
Chin
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
external
Engine location
rear fuslage
fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
Nozzle
fixed convergent
Wing position
dyhedral
Flight controls
electric
Wing type
trapozoidal
Wing vertical position
mid wing
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PROPULSION
STRUCTURES
Horizontal surfaces
wings and elevators
Tail arrangement
T-tail
Missile launch mechanism
rail launch
Shock Absorber
triangulated
engine type
turbo-jet
Thrust
internal combustion
Fuel system
integral type
wing Materials
Aluminum alloy
Fuselage Materials
aluminum alloy
Landing Gear Materials
low carbon steel
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Concept 6
CONFIGURATION
canopy
single
Intake location
chin
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
internal
Engine location
rear fuslage
fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
Nozzle
fixed convergent
Wing position
anhedral
Flight controls
electric
Wing type
delta
Wing vertical position
mid wing
Horizontal surfaces
wings and canards
Tail arrangement
V-tail
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PROPULSION
STRUCTURES
Missile launch mechanism
ejection launch
Shock Absorber
triangulated
engine type
turbo-fan
Thrust
internal combustion
Fuel system
discrete type
wing Materials
Advanced Composits
Fuselage Materials
Advanced Composits
Landing Gear Materials
Graphite epoxy
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College of Aeronautical Engineering,NUST,Risalpur,PK
Concept 7
CONFIGURATION
canopy
single
Intake location
wing root
Inlet types
pitot type
Boundary layer diverter
channel type
Fuel tanks
internal
Engine location
rear fuslage
fuselage
Area Ruled
Landing gear
tricycle
Number of engines
single
Gears retraction
wing-fuselage junction
Weapon carriage
external
Weapon drop
guided
Nozzle
fixed convergent
Wing position
anhyderal
Flight controls
electric
Wing type
delta
Wing vertical position
mid wing
Horizontal surfaces
wings and elevators
Tail arrangement
V-tail + lateral fins
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PROPULSION
STRUCTURES
Missile launch mechanism
ejection launch
Shock Absorber
triangulated
engine type
turbo-fan
Thrust
internal combustion
Fuel system
discrete type
wing Materials
Advanced Composits
Fuselage Materials
Advanced Composits
Landing Gear Materials
Graphite epoxy
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College of Aeronautical Engineering,NUST,Risalpur,PK
XXIX. Cost Analysis
Life-cycle cost analysis
The other cost reduction technique is Life Cycle Cost Analysis to influence design. To avoid products being
developed with a low acquisition cost but high operation and support costs, or vice versa, life cycle cost analysis
considers the full cost of ownership of the products in the engineering and decision making process, to establish the
correct balance of acquisition and in-service cost, whilst maintaining the required effectiveness of the product.
Production costs
In considering the life cycle cost elements of a project, which relate to the costs of design, development,
manufacture, operation and support of the aircraft, this study now focuses on the manufacture element of the life cycle
cost with particular reference to the ‘in-house’ production manufacture cost.
LABOUR COST
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The planned method of manufacture, known as the process and mini statement of work, will form the basis of the
labour cost. It will initially be generated in man-hours. This activity is undertaken via the Work Measurement Group
who are part of the Production Engineering Department. Their task is to measure in man hours, the length of time
required to complete the activity identified in each of the planned operations. Each of the operation times will conform
to British Standards, thereby making sure that the values are accurate and consistent and this will be done for all of
the parts within the assembly.
DAPCA MODEL
DAPCA (Development and Production Costs for Aircraft), a computer program designed to compute development
and production costs for airframes, engines, and avionic systems. DAPCA generates cost-quantity unit data and
cumulative-average improvement curves. The principal inputs relate mainly to aircraft physical characteristics, such
as gross takeoff weight, speed, engine type, number of engines per aircraft, and thrust or shaft horsepower. Various
options are also provided to the user when making a run. Data are retained and reused unless specifically deleted or
superseded by new data, so that only changes in the inputs need to be entered for succeeding runs. Each computer run
takes approximately three to four seconds. A sine-power function is used to generate the sustaining tooling production
rate curve. Appendixes are included that give the costing equations used, flowcharts, and a complete listing of the
FORTRAN IV source program.
Using DAPCA IV model of cost estimation we have calculated different costs involved in product development.
Engineering hours was calculated by
It came out to be $2068760.7
Tooling hours was calculated by
It came out to be $3664664.5
Manufacturing hours was calculated by
It came out to be $2441392
Development support cost was calculated by
It came out to be $3445789.25
Flight test cost was calculated by
It came out to be $42947829.5
Manufacturing material cost was calculated by
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It came out to be $53422.5
Engineering production was calculated by
It came out to be $1320472.2
XXX. PARAMETRIC MODEL VIEWS
Bottom View
Front View
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Side View
XXXI. Conclusion
We got RFP for MUTT and revised it for our fighter aircraft. Starting up from requirement analysis we did KJ and
Kano analysis the QFD. After that we did initial and refined sizing and sizing of different aircraft components like
fuselage, wings, horizontal and vertical tail sizing besides landing gear sizing. After the sizing we selected seven
design concepts via morphology matrix and drew them parametrically in catia after applying Triz method which have
been shown earlier in the report. Triz method are innovative principles which are common in our daily life. Triz
method lists down the solutions to the basic daily life problems. We found the parametric modelling technique for
aircraft design very designer friendly because the designs can be altered any time according to requirements. The
different sizing parameters which we calculated were approximate to our reference aircraft F-22. We tried our best to
design most efficient aircraft just as our reference F-22. Then during the aerodynamic analysis phase we used XFLR
software for testing airfoils and stability analysis. In the beginning we came across many problems because the
analysis was giving many problems but it provided us with a guideline to proceed further. At last, for structure and
CFD analysis we had to use C marc and fluent. We tried but unfortunately we could not get accurate results, in accurate
results of the analysis have been shown in the report. In a nutshell, parametric modelling is a handful tool for design
and XFLR, C marc and fluent are the directive softwares for aerodynamics, stability and structural analysis. We as a
group, learnt a lot during this design phase because the techniques we came across, would be much helpful in our
future projects also.
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Acknowledgments
We are thankful to Almighty for giving us strength to do little work. We would like to acknowledge our instructor
Dr. Liaqat for able guidance in applying these methods in our design. We are thankful to 80 (A) E.C for their support.
References
1.
2.
3.
4.
5.
6.
Aircraft Design: A Conceptual Approach, 4th Ed., Daniel P Raymer
Airplane Design I, J Roskam
Aircraft performance and Design by John D. Anderson Jr.
http://m-selig.ae.illinois.edu/ads/coord_database.html
Concept design; TRIZ (Teoriya Resheniya Izobreatatelskikh Zadatch )
“Automated conceptual design of mechanisms using improved morpholigical matrix”, Y Chen, P Feng, ASME Journal
of mechanical engineering,2006.
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