Project-1: Powertrain for aircraft in runways
PROJECT 1= POWERTRAIN FOR AIRCRAFT IN RUNWAYS
AIM- To develop the power train model for the aircraft on the runway.
PART A-
Objective 1- Search and list out the total weight of various types of aircraft.
Objective 2 - Write down difference between ground speed and air speed.
Objective 3- Write down Why is it not recommended to use aircraft engine power to move it on the ground at Airport?
Objective 4 Explain ,How an aircraft is pushed to runway when its ready to take off?
Objective 5 Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.
Part B-
Objective 6
A) With necessary assumptions, calculate the force and power required to push / pull an aircraft by a towing vehicle.
B) Develop the model for the calculated force and power using Simulink.
Objective 7
A) Design an electric powertrain with type of motor, it’s power rating, and energy requirement to fulfill aircraft towing application in Simulink. Estimate the duty cycle range to control the aircraft speed from zero to highest. Make all required assumptions. Prepare a table of assumed parameters. Draw a block diagram of powertrain.
(Hint :DC7 Block)
B) Prepare a design parameters in excel sheet.
Objective 1- search and list out the total weight of various types of aircraft.
Weight -it is a force that exist due to the gravity of force which acts on a body with a mass.the airplanes or aircraft are designed with different components of various different sizes ,different weights such as the wings,the engine,the fuselage ,the tail etc.for each components of the airplane has a weight so the total weight of the airplane is equal to the total sum of weight of each component.
for designing of aircraft ,various design weight limits and authorized weight limits are considered.
the design weight limits sets by engineers during the design state of aircraft and this maximum permissible weights can carry by aircraft.
authorized weight limits set by authorities in aircraft flight manuals(AFMs)and this limit may be less than or equal to design weight limits but never greater than design weight limits during aircraft operation.e.g. take off,landing,en-route,taxing.
maximum design ramp weight(MDRW)/ maximum design taxi weight (MDTW)- It is the maximum weight certificated for aircraft maneuvering on the ground (taxing or towing) as limited by aircraft strength and airworthiness requirements.
maximum design takeoff weight (MDTOW) - It is certificated maximum design weight when the brakes are released for takeoff and this is the greatest weight for compliance with the relevant structural and engineering requirement which is demonstrated by the manufacturer.
maximum design landing weight (MLW)- the certificated maximum design weight at which the aircraft meets the appropriate landing certification requirement which is generally depends on the landing gear strength or the landing impact loads on the certain parts of the wing structure.
MDTW> MDTOW> MDLW
MDLW is typically designed for 10 feet per second which is nouthing but 600 feet per minute sink rate at touch down with no structural damage.
Maximum design zero -fuel weight (MDZFW)- The certificated maximum design weight of the aircraft less all usable fuel and other specified usable agents (engine injection fluid and other consumable propulsion agents). it is the permitted maximum weight before usable fuel and other specified usable fluids are loaded in specified sections of the airplane.it is limited by strength and airworthiness requirements. the subsequent addition of fuel will not result in the aircraft design strength being greater than at this weigth.the difference between the MDTOW and the MDZFW may be utilized only for the addition of fuel.
minimum flight weight (MFW)- this is the minimum weight certificated for flight as limited by aircraft strength and airworthiness requirements.
maximum taxi weight (MTW) / maximum ramp weight (MRW)- It is the maximum weight authorized for maneuvering (taxiing or towing) an aircraft on the ground as limited by aircraft strength and airworthiness requirements.it includes the taxi weight and run-up fuel for the engines and the APU.
It is greater than the maximum takeoff weight due to the fuel that will be burned during the taxi and runup operations.
the maximum taxi/ramp weight and the maximum take-off weight (maximum taxi fuel allowance) are differ on the size of the aircraft ,the number of engines, APU operation and engines/APU fuel consumption,and it is typically assumed for 10 to 15 minutes allowance of taxi and run-up operations.
payload-it is the carrying capacity of an aircraft.it involves cargo,people,extra fuel.for commercial airliner ,it may refer only to revenue-generating cargo or paying passengers.
maximum takeoff weight (MTOW)/maximum brake-release weight-it is the maximum weight authorized at the start of the takeoff roll or at the brake release for takeoff.it is always less than the maximum taxi/ramp weight to allow for fuel burned during taxi by the engines and the APU.
In operation ,the maximum weight for takeoff is limited due to aircraft performance,environmental conditions,airfield characteristics (takeoff field length,altitude),maximum tire speed and brake energy,obstacle clearances.and/or en route and landing weight requirements.
Regulated takeoff weight(RTOW)
the factors like flap setting,altitude,air temperature,length of runway affected on RTOW or maximum permissible takeoff weight and varies for each takeoff .it can lesser than MTOW always.
maximum landing weight (MLW)-it is authorized for the normal landing of an aircraft and it is not exceed the MTOW.
The operation landing weight is lower than the Maximum landing weight due to following requirements:
1. aircraft performance requirements for a given altitude and temperature:
a) landing field length requirements
b) approach and landing climb requirements
2. noise requirements
If the duration of flight is short then fuel may have to be jettisoned to reduce the landing weight.
overweight landings require a structural inspection or evaluation of the touch-down loads before the next aircraft operation.
maximum zero-fuel weight (MZFW)
it is the maximum permissible weight of the aircraft less all usable fuel and other specified usable agents (engine injection fluid and other consumable propulsion agents).it is the maximum weight permitted before usable fuel and other specified usable fluids are loaded in specified sections of the airplane.
the below diagram shows the various weight considered for the aircraft operation.

there are various types of aircraft and the primary difference between those are the lighter than air and those heavier than air.
1) lighter than air
the aircraft like ballons,nonrigid and dirigibles are designed to contain within their structure of sufficient volume when filled with a gas lighter than air(heated air,hydrogen or helium),displaces the surrounding ambient air and floats,just as a cork does on the water.balloons are not steerable and drift with the wind.
the hot ballons has mostly 70 kg of weight wothout passengers.

2) Heavier than air-
this aircraft requires power source to provide the thrust which is necessary for lifting.the structure of this aircraft is usually a flat-surfaced structure with a stabilizing 'tail' which is attached by a bridle to a string that is held in place on the ground.
lift is provided by the reaction of the string-restrained surface to the wind.
it include autogyros,helicopters and gyrocopters and conventional fixed-wing aircraft(aeroplanes) which is heavier than air.
helicopters has weight from 600 lb/275 kg all the way up to 123,400 lb/56000 kg.
the another unmaned aerial vehicle(UAV) commonly called drones or sometimes remotely piloted vehicles (RPVs).this aircraft are radio-controlled from the air or the ground and used for the scientific and military purposes.
the helicopters weights typically vary from 270 kg to 50000 kgs.



civil aircrafts-
civil aircraft are nonmilitary planes which includes private and business planes and commercial airliners.
personal or private aircrafts are used for pleasure flying,often single-engine monoplanes with nonretractable landing gear.this is very sophisticated and may include variants such as 'warbirds' ex-military planes flown for the reasons of nostalgia,ranging from primary trainers to large bombers.
the below table shows the various models of aircraft and their maximum weights.
| Type | MTOW [kg] | MLW [tonnes] | TOR [m] | LR [m] | ICAO category | FAA category |
|---|---|---|---|---|---|---|
| Antonov An-225 | 640,000 | 519.7 | 3500 | Heavy | super | |
| scaled compositers model 351 stratolaunch | 589,670 | 3600 | Heavy | super | ||
| airbus A380-800 | 575,000 | 394 | 3100 | 1930 | super | super |
| boeing 747-8F | 447,700 | 346.091 | 3100 | 1800 | Heavy | Heavy |
| boeing 747-8 | 443,613 | 306.175 | 3100 | Heavy | Heavy | |
| boeing 747-400ER | 412,770 | 295.742 | 3090 | Heavy | Heavy | |
| Antonov an-124-100 M | 405,060 | 330 | 2520 | 900 | Heavy | Heavy |
| boeing 747-400 | 396,900 | 295.742 | 3018 | 2179 | Heavy | Heavy |
| lockheed C-5 Galaxy | 381,000 | 288.417 | 2530 | 1494 | Heavy | Heavy |
| boeing 747-200 | 377,840 | 285.700 | 3338 | 2109 | Heavy | Heavy |
| boeing 747-300 | 377,840 | 260.320 | 3222 | 1905 | Heavy | Heavy |
| airbus A340-500 | 371,950 | 240 | 3050 | 2010 | Heavy | Heavy |
| airbus A340-600 | 367,400 | 256 | 3100 | 2100 | Heavy | Heavy |
| boeing 777F | 347,800 | 260.816 | 2830 | Heavy | Heavy | |
| Airbus A330-900 | 352,000 | 251.5 | 3100 | Heavy | Heavy | |
| boeing 777-300ER | 351,800 | 251.29 | 3100 | Heavy | Heavy | |
| boeing 777-200LR | 347,450 | 223.168 | 3000 | Heavy | Heavy | |
| Boeing 747-100 | 340,200 | 265.300 | Heavy | Heavy | ||
| airbus A350-1000 | 308,000 | 233.5 | Heavy | Heavy | ||
| boeing 777-300 | 299,370 | 237.683 | 3380 | Heavy | Heavy | |
| Boeing 777-200ER | 297,550 | 213.00 | 3380 | 1550 | Heavy | Heavy |
| airbus A340-300 | 276,700 | 190 | 3000 | 1926 | Heavy | Heavy |
| McDonnell Douglas MD-11 | 273,000 | 185 | 2990 | 1860 | Heavy | Heavy |
| Airbus A350-900 | 270,000 | 175 | 2670 | 1860 | Heavy | Heavy |
| llyushin ll-96M | 270,000 | 195.04 | 3115 | 2118 | Heavy | Heavy |
| McDonnell Douglas DC-10 | 256,280 | 183 | 2990 | 1890 | Heavy | Heavy |
| Boeing 787-9 | 254,000 | 192.777 | 2990 | Heavy | Heavy | |
| Boeing 787-10 | 254,000 | 201.849 | Heavy | Heavy | ||
| airbus A340-200 | 253,500 | 181 | 2990 | Heavy | Heavy | |
| llyushin lL-96-300 | 250,000 | 175 | 2600 | 1980 | Heavy | Heavy |
| Airbus A330-300 | 242,000 | 185 | 2500 | 1750 | Heavy | Heavy |
| Airbus A330-200 | 242,000 | 180 | 2220 | 1750 | Heavy | Heavy |
| Lockheed L-1011 -500 | 231,300 | 166.92 | 2636 | Heavy | Heavy | |
| boeing 787-8 | 228,000 | 172.365 | 3300 | 1695 | Heavy | Heavy |
| Lockheed L-1011 -200 | 211,400 | Heavy | Heavy | |||
| llyushin lL-86 | 208,000 | 175 | Heavy | Heavy | ||
| Boeing 767-400 ER | 204,000 | 158.758 | 3414 | Heavy | Heavy | |
| Airbus A300-600R | 192,000 | 140 | 2385 | 1555 | Heavy | Heavy |
| Boeing 767-300ER | 187,000 | 136.08 | 2713 | 1676 | Heavy | Heavy |
| Concorde | 185,000 | 111.1 | 3440 | 2220 | Heavy | Heavy |
| Airbus A300-600 | 163,000 | 138 | 2324 | 1536 | Heavy | Heavy |
| Boeing 767-300 | 159,000 | 136.078 | 2713 | 1676 | Heavy | Heavy |
| Airbus A310-300 | 157,000 | 124 | 2290 | 1490 | Heavy | Heavy |
| Vickers VC10 | 152,000 | 151.9 | Heavy | Heavy | ||
| Boeing 707-320B | 151,000 | 97.5 | Heavy | Heavy | ||
| Boeing 707-320C | 151,000 | 112.1 | Heavy | Heavy | ||
| Douglas DC -8-61 | 147,000 | Heavy | Heavy | |||
| Airbus A310-200 | 142,000 | 123 | 1860 | 1480 | Heavy | Heavy |
| Airbus A400M | 141,000 | 122 | 980 | 770 | Heavy | Heavy |
| Douglas DC -8-32 | 140,000 | Heavy | Heavy | |||
| Douglas DC -8-51 | 125,000 | Medium | Large | |||
| Boeing 757-300 | 124,000 | 101.6 | 2550 | 1750 | Medium | Large |
| Boeing 757-120B | 117,000 | 86.3 | Medium | Large | ||
| Boeing 757-200 | 116,000 | 89.9 | 2347 | 1555 | Medium | Large |
| Boeing 720B | 106,000 | 79.5 | Medium | Large | ||
| Boeing 720 | 104,000 | 79.5 | Medium | Large | ||
| Tupolev Tu-154M | 104,000 | 80 | Medium | Large | ||
| Tupolev Tu-204SM | 104,000 | 87.5 | 2250 | Medium | Large | |
| Convair 880 | 87,500 | Medium | Large | |||
| boeing 737-900 | 85,000 | 66.36 | 2500 | 1704 | Medium | Large |
| boeing 737-900ER | 85,000 | 71.35 | 2804 | 1829 | Medium | Large |
| Boeing 727-200 Advanced | 84,000 | 70.1 | Medium | Large | ||
| Airbus A321-100 | 83,000 | 77.8 | 2200 | 1540 | Medium | Large |
| boeing 737-800 | 79,000 | 65.32 | 2308 | 1634 | Medium | Large |
| Boeing 727-200 | 78,000 | 68.1 | Medium | Large | ||
| Mcdonnell-Douglas MD -83 | 73,000 | 63.28 | Medium | Large | ||
| Boeing 727-100 | 72,500 | 62.4 | Medium | Large | ||
| Boeing 727-100 C | 72,500 | 62.4 | Medium | Large | ||
| McDonnell-Douglas MD-90-30 | 71,000 | 64.41 | 2165 | 1520 | Medium | Large |
| de Havilland Comet 4 | 70,700 | Medium | Large | |||
| Boeing 737-700 | 70,000 | 58.06 | 1921 | 1415 | Medium | Large |
| Airbus A320-100 | 68,000 | 66 | 1955 | 1490 | Medium | Large |
| Boeing 737-400 | 68,000 | 54.9 | 2540 | 1540 | Medium | Large |
| de Havilland Comet 3 | 68,000 | Medium | Large | |||
| Boeing 377 | 67,000 | Medium | Large | |||
| Boeing 737-600 | 66,000 | 54.66 | 1796 | 1340 | Medium | Large |
| Airbus A220-300 | 65,000 | 57.61 | 1890 | 1494 | Medium | Large |
| Hawker Siddeley Trident 2E | 65,000 | Medium | Large | |||
| Airbus A319 | 64,000 | 62.5 | 1850 | 1470 | Medium | Large |
| Boeing 737-300 | 63,000 | 51.7 | 1939 | 1396 | Medium | Large |
| Boeing 737-500 | 60,000 | 49.9 | 1832 | 1360 | Medium | Large |
| Airbus A220-100 | 59,000 | 50.80 | 1463 | 1356 | Medium | Large |
| Airbus A318 | 59,000 | 57.5 | 1375 | 1340 | Medium | Large |
| boeing 717-200HGW | 55,000 | 47.174 | 1950 | Medium | Large | |
| Douglas DC -7 | 55,000 | Medium | Large | |||
| de Havilland Comet 2 | 54,000 | Medium | Large | |||
| boeing 717-200BGW | 50,000 | 46.265 | 1950 | Medium | Large | |
| de Havilland Comet 1 | 50,000 | Medium | Large | |||
| Douglas DC-6A | 48,600 | Medium | Large | |||
| Douglas DC -6B | 48,500 | Medium | Large | |||
| Embraer 190 | 48,000 | 43 | 2056 | 1323 | Medium | Large |
| Caravelle lll | 46,000 | Medium | Large | |||
| Fokker 100 | 46,000 | 39.95 | 1621 | 1350 | Medium | Large |
| Douglas DC-6 | 44,000 | Medium | Large | |||
| Avro RJ -85 | 42,000 | 36.74 | Medium | Large | ||
| Handley Page Hermes | 39,000 | Medium | Large | |||
| Embraer 175 | 37,500 | 32.8 | 2244 | 1304 | Medium | Large |
| Bombardier CRJ900 | 36,500 | 33.345 | 1778 | 1596 | Medium | Large |
| Embraer 170 | 36,000 | 32.8 | 1644 | 1274 | Medium | Large |
| Bombardier CRJ700 | 33,000 | 30.39 | 1564 | 1478 | Medium | Large |
| Douglas DC-4 | 33,000 | Medium | Large | |||
| Vickers Viscount 800 | 30,400 | Medium | Large | |||
| Bombardier Q400 | 28,000 | 28.01 | 1219 | 1295 | Medium | Large |
| Bombardier CRJ200 | 23,000 | 21.319 | 1918 | 1479 | Medium | Large |
| ATR 72-600 | 22,800 | 22.35 | 1333 | 914 | Medium | Large |
| Saab 2000 | 22,800 | 21.5 | 1300 | Medium | Large | |
| Embraer ERJ 145 | 22,000 | 19.3 | 2270 | 1380 | Medium | Small |
| ATR 42-500 | 18,600 | 18.3 | 1165 | 1126 | Medium | Small |
| Saab 340 | 13,150 | 12.930 | 1300 | 1030 | Medium | Small |
| Embraer 120 Brasilia | 11,500 | 11.25 | 1560 | 1380 | Medium | Small |
| BAe Jetstream 41 | 10,890 | 10.570 | 1493 | 826 | Medium | Small |
| Learjet 75 | 9,752 | 8.709 | 1353 | 811 | Medium | Small |
| Pilatus PC -24 | 8,300 | 7.665 | 893 | 724 | Medium | Small |
| Embraer Phenom 300 | 8,150 | 7.65 | 956 | 677 | Medium | Small |
| Beechcraft 1900D | 7,765 | 7.605 | 1036 | 853 | Medium | Small |
| Cessna Citation CJ4 | 7,761 | 7.103 | 1039 | 896 | Medium | Small |
| de Havilland Hercules | 7,000 | Medium | Small | |||
| Embraer Phenom 100 | 4,800 | 4.43 | 975 | 741 | Light | Small |
Objective 2- Difference between ground speed and air speed.
Ground speed-
ground speed is how fast an airplane travelling ,relative to a fixed point on the ground.think in this way that how fast an airplane's shadow would move across the land.if there is a strong wind pushing an aircraft ,that's reflected in the ground speed.
wind speed-
for a referance point picked on the ground,the air moves relative to the reference point at the wind speed.
in the direction of the aircraft's motion,a positive velocity is defined. we are neglecting cross winds,which occur perpendicular to the flight path but parallel to the ground, updrafts and downdraft,which occur perpendicular to the ground.
Air speed-
Airspeed in contrast is how fast an airplane is really flying strictly under its own power.This speed can be calculated by substracting the wind speed from the ground speed.


the aircraft is operated on both ground as well as in the air so we have to observe how these speeds are related to each other.the ground speed and air speed are dependent on the wind speed that is if wind speed changes then these two speed changes.
if there is no wind speed present then air speed and ground speed are equal.
if the wind speed flowing in the same direction of the flight then air speed is less than ground speed.
therefore , air speed= ground speed- wind speed.
if the wind is flowing in the opposite direction with respect to direction of the flight then air speed is greater than ground speed. so ,air speed = ground speed + wind speed.

If we consider the example below,
suppose an aircraft travelling in the air with a air speed of 500 mph and has travel a distance of 2000 miles.if no wind is present at all,then air speed and ground speed are equal that is the ground speed would also be 500 mph.so aircraft should reach the destination in 4 hours.
however ,if wind flowing with a speed of 100 mph in the opposite direction to that of which the aircraft is moving,the aircraft would experience headwind.so,gound speed is less than the air speed in this condition.
Vground = Vair - Vwind
= 500-100
=400 mph
so ,in this case the ground speed of the aircraft is 400 mph even though the air speed of the aircraft is 500 mph.therefore ,the time required for the aircraft to reach the destination will extend with it now taking 5 hours.
Consider the opposite case:
If the wind was flowing with the same speed of 100 mph in the same direction as that of which the aircraft is moving,the aircraft would eaxperience tailwind now.in this condition,the ground speed of the flight will be greater than the air speed.
as the wind speed and air speed are in the same direction,so considering both are in the positive direction.
Vground= Vair+ Vwind
=500 +100
Vground= 600 mph.
so ,in this case ground speed is 600 mph which is greater than the air speed therefore this will mean that the aircraft will reach at its destination in 3 hours and 20 minutes.
objective 3- why is it not recommended to use aircraft engine power to move it on the ground at Airport?
taxiing:
it refers to the movement of an airplane while on the runway is the movement of an aircraft on the ground under its own power in contrast to towing or pushback where the aircraft is moved by a tug.the aircraft moved on the wheels.










it is the phase of flight in which an aircraft leaves the ground and becomes airborne.for this take off ,an aircrafts wings are designed with an airfoil shape which is able to generate a lift force relative to the air that is when the aircraft moves.this lift force is required to lift the aircraft off of the ground during takeoff and is also needed to flight to keep the aircraft in the air.the lift force generated because of the way in which air flows around the airfoil shape.when the airfoil moves relative to the air,a "down wash" is created which creates a pressure gradient between the top and bottom of the airfoil.the bottom of the airfoil experiences a higher pressure and top of the airfoil will experiences a lower pressure.due to this pressure gradient, a lift force is generated .the total amount of force that is generated depends on 3 factors:
1) the air speed
2) the angle of attack
3) the shape of the airfoil.
the angle of attack is the angle between the reference line of an airfoil and the direction of the velocity of the wind.if angle of attack is higher then down wash is greater and hence the lift force generated is greater.the greater the velocity of the air flowing over the airfoil will also increase the lift force.also when changing the shape of the airfoil then this will affects the lift force.the shape of the airfoil can be altered by the use of slats and flaps.the slats and flaps increase the chamber of the airfoil and allows it to generate more lift force at lower speeds.when slats and flaps activate then they extend and alter the shape of the airfoil in such a way that they increase the area of the wings which increases the lift force.
to control the lift force that the aircraft experiences,the other components which are present aside from the slats and flaps that can be adjusted.
the first component are the ailerons located on the wings.the ailerons have flaps which can move up then generated less lift force and when down to generate more lift force.
other components are presents at the tail of the aircraft which is called the rudders and elevators.Adjustment of the elevators allow for the control of the vertical forces whereas adjustment of the rudder allows for the horizontal forces to be controlled
During takeoff,the lift force generated needs to be greater than the weight of the aircraft.all three techniques of the airfoil are utilised to generate sufficient lift force that makes takeoff successful.first ,the speed of the aircraft needs to increase by increasing the thrust force from the jet engines.this will generate some lift force but to increase it further,the pilots activate the slats and flaps.when the aircraft has accelerated to the required speed for takeoff,the pilots then activate the elevators upwards which produces a tail force tilting the aircraft upwards.so, the angle of attack of the airfoil is increased,which produces a sudden increase the lift force that makes the aircraft takeoff.this angle of attack of 15 degrees is required for takeoff which maintained during ascension.


where,
Ft- thrust force
Fd- Drag force
Fr- Rolling Resistance force
a- acceleration
m- mass
this acceleration is continue untill aircraft achieving a safe flying speed refferred to as the rotation velocity (Vr).
at this speed,the pilot can rotate the aircraft which will produce enough lift to takeoff from the ground.this rotation velocity that is takeoff speed depends on the various factors e.g. air density (depends on air temperature and field elevation),aircraft gross weight and the aircraft configuration (slats and flaps position).typical takeoff speeds for commercial jetliners range from 240-285 kmph or 149-177 mph.this speed is lower in smaller aircrafts than light aircraft for example Cessna 150 having a takeoff speed of 100 kmph.
aircraft can be operated in the transport category and use a system of 'V-speeds' the three of them are V1,V2,and Vr.
V1 is the decision speed (critical engine speed) and it is the speed at which any decision to abort takeoff must be made.if the aircraft speed greater than V1 then it must continue to takeoff unless there is a reason to believe that takeoff will be unsuccessful.for this instance ,if an engine failure is detected before the V1 then takeoff should be aborted.
Vr is the rotational speed as mentioned before and it is greater than V1.
V2 is the takeoff safety speed ,which is the speed at which the aircraft must acchieve at the 35 feet height at the end of the runway distance.
the rotational speed is depends on the aircraft gross weight and flap settings but it also depends on the environmental conditions.the rotational speed is 1.1 times greater than the stall speed.the stall speed is the lowest speed at which an aircraft can be flown before the airflow begins to separate from the wings and the angle of attack becomes too large.since we know that the lift force must be equal to the weight of the aircraft for a flight to be maintained at constant level,the stall speed is as
Vstall= √(2*W)/(Clmax.ρ.A)
Where,
Vstall= stall speed
W= Weight of the aircraft
Clmax= Coefficient of lift at stall speed
ρ = Air density
A = Wing area
the rotational speed is given by,
Vr= 1.1*Vstall
Tire Design=
Aircraft tires are designed in such a way that they can withstand extremely high loads for short durations of time.the number of tires in aircraft is proportional to its weight that for heavier aircraft requires more tires.if number of tires are less for a given weight of an aircraft,then the weight cannot be distributed evenly enough amongst the tires.the tread patterns on aircraft tires are designed in such a way that they can provide stability to flights during crosswind conditions.the tread design also heps to direct water off of the tires so as to prevent hydropatting and they also aid in the braking action.
these tires are designed with fusible plugs.A fusible plug is a threaded metal cylinder made up of bronze ,brass and gunmetal with a drilled hole that extends through its entire length.the holes are filled with a metal of low melting point,this will cause the deflation of the tires.in case of energancy landing or aborted takeoffs, the aircrafts wheels experience high friction with the runway surface and the use of the plugs will control the deflation of the tires in a safe manner.without using this ,there is a risk of an explosion which can damage the aircraft and other nearby objects.

they also help to absorb the shock of landing and provide cushioning.it also provides the necessary traction for braking and stopping of an aircraft.
tire pressure=
these tires are inflated with an inert gas and mostly used nitrogen.the inert gases are used for inflation because they are non-reactive and not flammable.when the ambient air temperature and pressure changes,the nitrogen gas helps to minimize the expansion and contraction of the aircraft tires.using oxygen for the inflation of aircraft tires is very dangerous since it is flammable.using nitrogen instead eliminates any risk of there being a tire explosion.
generally commercial airliners use tires that can withstand a pressure of 800 psi before they burst. A Boeing 777-300ER has 12 tires and for each tire is inflated to a pressure of 220psi with a diameter of 134 cm and a weight of 120 kg.the tire cost is $5000 and this is changed after 300 cycles whereas the brakes are changed after every 2000 cycles.
by using a calibrated gauge check the aircraft tires because aircraft tires operate at high temperatures and pressures and they do not retain their air perfectly.the tire pressure reduce by 5% in 24 hours.michelin, one of the 4 main aircraft tire manufactures,recommends that the air pressuree of the tires be checked before the first flight that day or before each flight if the aircraft isnt flown daily.
the tires can be checking before the flight rather than after is benefacial because the tires need to be cold when performing the pressure check.if we check the tire after the flight,then the tires is hot due to its recent usage and this makes it very difficult to determine what the proper pressure should be.michelin recommended that the tire pressure is checked no earlier than 3 hours before a flight after that it has last been in use.
during servicing if we perform the pressure checks then we need to consider the ambient temperature's effect on the tires.if ambient temperature changes by 3 degree then there is 1 % change in the tire pressure.to account for this,machelin recommended that the tires be serviced in a way that the tire pressure is overshoot to 105% of the operating pressure.so it is a guideline that the highest pressure in the aircraft maintenance manual (AMM) be targeted.
for aircraft applications ,there are two main types of tires are used:
1) Bias ply tire
2) Radial ply tire
1) bias ply tire are used for their long durability and hence long working life as well as for their retreadability.the construction is
Tread -
it is made of rubber and other additives that are used to obtain desired properties such as high durability,high toughness and high resistance to wear.the pattern of the thread has a ribbed design which helps to provide excellent traction in different runway conditions whether it is good or bad.
the below figure shows bias ply tire-

Sidewall- it is a protective layer of rubber that covers the outer casing ply and it extends from the tread edge to the bead area.
tread reinforcing ply-
it is one or more layers of a fabric which strenthens and stabilizes the tread area when the aircraft ground speed is high.it also helps as a reference for the buffing process during retreading of the tires.
Buff line Cushion-
it is made up of rubbery fabric that increases the adhesion between the tread reinforcing ply and the breakers.
Breakers-
these are the plies reinforcing of a rubber coated fabric which are placed under the buff line cushion and it helps to stabilize and strengthen the tread area.
casing plies-
theses are the alternate layers of rubber coated fabric which run at opposite angles to each other and it will provide the strength of the tires.
Wire beads-
these are the hoops of high tensile strength steel which anchor the casing plies and provide a firm mounting surface on the wheel.
Apex Strip-
this is a wedge of rubber fixed to the top of the bead bundle
these are the layers of rubberized fabric which help to anchor the bead wires to the casing and it also improve the durability of the tire.
Ply Turnups-
the casing plies are wrapped around the wire beads to anchor them which forms ply turnups.
Chafer-
it is a protective layer or rubber or fabric coated loacted between the casing plies and the wheel to keep chafing to a minimum.
Liner-
In a tubeless tire,the liner is a layer of low permeability rubber that acts as a built in tube and prevents the diffusion of gas in to the casing plies.in tube tires,the liner layer is thinner to prevent chafing between the tube and the inside ply.
2) radial ply tires are used in aircrafts because they have a rigid belt that allows them to be used for increase landings and have lower rolling resistance than bias ply tires.they have a lesser weight than bias ply tires and have less components of same size.the different components of radial ply tires is shown below:

Overlay-
this is a layer of reinforcing rubber coated fabric which is placed on top of the rigid belts and help them when aircraft move with high ground speed.
Belt Plies-
this is a composite structure which stiffens the tread area and increase the tire strength in the tread area for increased landings.
Casing Plies-
they consist of layer of rubber coated fabric same as bias ply tires but instead of running at opposite angles to each other,these run radially from the bead to the head.
Chippers-
this rubber coated fabric layer applied at diagonal angles to improve the durability of the tires in the bead area.
rolling resistance-
it is a force that resists the motion of a body that rolls on a surface.in the case of aircrafts,the rolling resistance force exists between the aircraft tires and the runway surface it rolls upon.
for a given body,the rolling resistance is expressed mathematically as the product of the coefficient of rolling resistance and normal force,this force acting perpendicular to the surface on which rolling action occurs.
Frr = urr*N
where,
Frr= rolling resistance
urr = coefficient of rolling resistance
N = Normal Force
Braking Forces-
in aircrafts uses brakes mainly during landing procedure. during braking,kinetic energy of the aircraft conveted in to heat energy because friction occurs between the aircraft tires and the runway surface.the braking is a very crucial part of flight because there is a limited distance on the runway that the aircraft can use to reduce its speed.in the braking process ,braking has to be done in such a way that the aircraft or passengers or it equipment does not get damaged .there are different systems are used for braking process.
working of Disc brakes-
the main brake used in aircraft is the disc brake which work by manipulating the friction between the stationary disc and rotating disc found inside the disc brake.
first of all, a command signal is to the disc brakes by the pilot by pressing the brake pedal in the cockpit.this will causes the actuators in the brake to move a piston to squeeze the stationary and rotary discs together.which creates a frictional force and used to slow down the tires and hence the aircraft.as the friction in braking generates high amounts of heat energy,the disc brakes are designed as heat sinks to absorb this generated heat.this temperature of the disc brake is up to 1800 degrees celcius.
this brakes are found on a carrier assembly which consists of a torque tube that transmits braking torque to the landing gear and which is placed between the carrier assembly and a braking plate.the discs are arranged in an alternating pattern of stator and rotors.each rotor has grooves and notches that allow it to fit in with a wheel with a corresponding geometry so that rotor rotates with it.the stators are fitted to the torque tube and it is stationary because the torque tube is connected to the axle and landing gear structure both are stationary.the cylindrical spaces in the carrier assembly contains a pistons which move to cause the squeezing of the two discs bringing about braking.
Design of brakes-
the main design considerations of the disc brakes are the number of discs they will hold together,the disc diameter and their material.the brakes are also designed by considering the worst case situation.one of such scenario is when takeoff is aborted at the decision speed,V1.if V1 exceeded,then the aircraft cannot safely abort takeoff because it is a risk situation of not being able to stop before the end of the runway.in this case ,the brakes would need to be able to absorb more kinetic energy than in any other worst case condition.
In an Airbus A380 is the worlds biggest passenger plane,its specifications are mentioned below:
1) maximum takeoff weight (MTOW) = 575000 Kg
2) Maximum decision speed , V1= 170 knots (195 mph or 87 m/s)
3) Number of disc brakes = 16
so,we calculate the kinetic energy of the aircraft ignoring the effect of air brake reverse thrust headwinds and tailwinds.
E = 1/2*m*v^2
= (1/2* 575000*(87)^2)
= 2.2 GJ
This is the amount of enegy that is required by the combined efforts of all brakes to completely brake the aircraft.
this generate frictional force,for that there are multiple disc per brake are needed.An A380 has 22 tires that are distributed on wheels support the nose on a leg,eight wheels split between 2 legs to support the left and right wings and 12 body wheels split between 2 legs under the fuselage.only 16 of these 22 wheels have brakes.
each of the 16 brake assemblies has 5 rotors of honeywell carbenix 4000 carbon -carbon composite.the brake assembly within the wheels are made up of 2014 T-6 aluminium alloy and are attached to the axle and landing gears which are made up of 300M high strength alloy steel,titanium and aluminium components.
Materials
up to 1963 ,steel material was used in brake discs.after that because of better thermal properties ,beryllium material is used but it was expensive to handle since its oxide was toxic.after that ,the industry was shifted to carbon brakes.they are made of carbon fibers in a graphite matrix.carbon material is used because they were lighter ,more durable and less thermally sensitive.they also had higher absorption of thermal energy and cooled faster than steel brakes.also carbon has a higher specific heat of energy compared to steel so this can reduce the brake weight.carbon has a higher thermal conductivity meaning the heat will be distributed uniformly throughout the disc.it has a lower thermal expansion,higher thermal shock resistance and a higher temperature limit than steel.in addition to this,carbon's specific strength remains consistent under different temperatures unlike steel and beryllium.
Brake cooling
cooling is required for cooling due to the high heat buildup and they do this in two ways:
Passive cooling-
this cooling occurs via natural conduction from the brake disc material to the surrounding components.cooling occurs through radiation of heat that comes off the brakes as well as by natural convection as air flows through the brake assembly.
Active cooling
this cooling is done using fans that force air through the brakes to cool them down.
6. A. With necessary assumptions, calculate the force and power required to push / pull an aircraft by a towing vehicle.
Assumption :
Weight of the aircraft = 500000 kg
rolling resistance coefficient of an aircraft tire = 0.005
weight of the towing tractor = 50000 kg
rolling resistance coefficient of towing vehicle = 0.002
the velocity of the aircraft while towing = 18 kmph = 5 m/s
density of air medium = 1.225 kg/m^3
the frontal area of the aircraft = 20 m^2
the coefficieent of drag of the aircraft = 0.26
towing tractor gear ratio (G-for high torque output) =11
towing tractor tyre radius (r) =0.5 m
the two forces are acting on the aircraft
1) rolling resistance for the aircraft
in this case,rolling resistance be
Fr = c*mr*ag
where,
Fr = rolling resistance
c = coefficient of rolling resistance
mr= rolling mass
ag= Acceleration due to gravity.
now substituting the values in the above equation gives us the rolling resistance of the aircraft
Fr= 0.005*(500000 kg)*(9.81 m/s^2)
therefore the rolling resistance of the aircraft Fr = 24.525 KN
Rolling resistance for the towing vehicle
Now let us calculate the rolling resistance for the towing vehicle
Fr = c*mr*ag
= 0.002*(50000 kg)*(9.81 m/s^2)
therefore the rolling resistance of the towing vehicle Fr= 0.981 KN
2) Drag force=
D = 1/2*Cp*A*V^2
where,
D = drag force
Cp= drag coefficient
V = velocity of towing vehicle
A = frontal area
now substituting the assumed values in the above equation gives us the drag force of the towing vehicle.
Drag force = 0.5*(0.26*1.225*20*5*5)
= 0.079 KN
therefore the drag force is 0.079625 KN
so ,the total force to push the aircraft by the towing vehicle
therefore , total force= rolling resistance of the aircraft + rolling resistance of towing vehicle + Drag force
= 24.525 KN + 0.981 KN +0.079625 KN
= 25.585625 KN = 25585.625 N
Therefore the total force required for a towing vehicle to push the aircraft = 25.585625 KN =25585.625 N.
Power required to the towing vehicle to pull the aircraft .
in this case,Power = force * velocity
= 25.585625 * 5.0
= 127.928125 KW
therefore the power required for the towing vehicle to pull the aircraft = 127.928125 KW = 127928.125 W
B. Develop the model for the calculated force and power using Simulink.

In this model we use constant block,product block,sum block,square block,display block,divide block etc.
1) constant block-the constant block generates a real or complex constant value signal .use this block to provide a constant signal input.
2) product block-this block outputs the results of multiplying two inputs.
3) sum block-the sum block performs addition on its inputs.
4) square block-there is a math function block in simulink-> math operation,where you can configure it to perform various math operation including the square function.
5) display block-the display block shows the value of the input data. you can specify the frequency of the display .for numeric input data,you can also specify the format of display.
6) divide block-the divide block outputs the result of dividing its first input by its second.the inputs can be scalars,a scalar and a nonscalar,or two nonscalar ,or two nonscalars that have the same dimensions.this block supports only complex input values at division ports when all ports have the same single or double data type.
in this model ,aircraft rolling resistance is calculated as Fr=0.005*500000*9.81 ,the product of three constant block is calculated in product block.
then ,rolling resistance force of the towing vehicle = 0.002*50000*9.81 ,the product of three constant block is calculated in product block.
then ,Drag force = 0.5*Cp*A*V^2= 0.5*0.26*1.225*20*5*5. all four constant block can be multiply in product block.
then, in sum block all this forces are summed to get total force and is displayed in display block =2.559e+04=25.585625KN=25585.625N.
Then power = force *velocity and power is displayed in display block= 1.279e+05= 127.928125 KW=127928.125W.
7. A.Design an electric powertrain with type of motor, it’s power rating, and energy requirement to fulfill aircraft towing application in Simulink. Estimate the duty cycle range to control the aircraft speed from zero to highest. Make all required assumptions. Prepare a table of assumed parameters. Draw a block diagram of powertrain.
(Hint :DC7 Block)
Here ,i assumed the rafele fighter aircraft.


Motor selection for the power train:
based on some of the parameters we selcected DC machine for the power train.


the power rating and energy requirement to fulfill aircraft towing application:
assumed parameters=
here i assumed the rafale fighter aircraft=
parameters assumption
mass of the aircraft (ma) 24500 kg
mass of the towing vehicle 10000 kg
rolling resistance (urr) 0.05
air density (ρ) 1.5 kg/m^3
frontal area (A) 10 m^2
aero drag coefficient (Cd) 0.6
velocity (V) 21.6 km/hr=6 m/sec
gravitational constant (g) 9.81 m/s^2


above model represents the simple power train model for aircraft on the runway.this model consist of converter,four quadrant chopper DC drive,motor,motor controller.the dc drive is mainly used as a controller.
this is the example of DC-7 four quadrant chopper dc drive for speed regulation.
the dc motor of 200 HP rating is separately excited with a constant 150 V DC field voltage source.the 380 V ,50 Hz AC voltage source is conveted to 515 V DC by rectification ,this armature voltage is provided by an IGBT converter controlled by two PI regulators.for limiting DC bus voltage during dynamic braking mode,a braking chopper added between the diode rectifier and DC7 block.
the speed regulator outputs the armature current reference used by the current controller in order to obtain the electromagnetic torque require to do the desired speed.this changes the rate follows acceleration and deceleration ramps in order to avoid sudden reference changes that could cause armature over-current and destabilize the system.
by using four IGBT devices of 5KHz pulses duty ratios controls the armature current by current regulator.the IGBT 1 & 4 output and IGBT 2 & 3 output are opposite for proper system behaviour that is for getting desired armature current.a smoothing inductance is used in series with the armature circuit to limit the amplitude of the current oscillations.
simulation- first of all,set the initial bus voltage to 515 V via the GUI block before starting the simulation.then start the simulation ,you can observe on scope various result like motor armature voltage,current,four IGBT pulses,the motor speed.mechanical torque is proportional to speed bcause of linear load coupled to motor.
the output response is shown in below figure.
output response=there are 5 output responses are shown in below figure.
first response shown is for duty cycles IGBT 1 & 4
second response shown is for duty cycles IGBT 2 & 3
third response for armature voltage.
fourth response for armature current
fifth response for motor speed.

B. Also, Design the parameters in excel sheet.

Conclusion=
1) Studied, Searched and listed the total weight of various types of aircrafts.
2) Explained difference between ground speed and air speed.
3) Explaned ,Why is it not recommended to use aircraft engine power to move it on the ground at Airport?
4) Explaned, How an aircraft is pushed to runway when its ready to take off?
5) studied and Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.
6) the total force required for a towing vehicle to push the aircraft = 25.585625 KN =25585.625 N.=2.559e+04.
the power required for the towing vehicle to pull the aircraft = 127.928125 KW = 127928.125 W=1.279e+05.
BOTH ANSWERS ARE SAME IN CALCULATION AND SIMULATION.
7) A) Designed an electric powertrain with type of motor, it’s power rating, and energy requirement to fulfill aircraft towing application in Simulink. Estimated the duty cycle range to control the aircraft speed from zero to highest. Prepared a table of assumed parameters. also Drawing a block diagram of powertrain.
B) Prepared a design parameters in excel sheet.
