Challenge

Project-1: Powertrain for aircraft in runways

Ans1)

List of various types of aircraft and total weight

MTOW-Maximum take-off weight, MLW-Maximum landing weight.

Type MTOW [kg] MLW [tonnes]
Antonov An-225 640,000 591.7An
Scaled Composites Model 351 Stratolaunch 589,670
Airbus A380-800 575,000 394
Boeing 747-8F 447,700 346.091
Boeing 747-8 443,613 306.175
Boeing 747-400ER 412,770 295.742
Antonov An-124-100M 405,060 330
Boeing 747-400 396,900 295.742
Lockheed C-5 Galaxy 381,000 288.417
Boeing 747-200 377,840 285.700
Boeing 747-300 377,840 260.320
Airbus A340-500 371,950 240
Airbus A340-600 367,400 256
Boeing 777F 347,800 260.816
Boeing 777-300ER 351,800 251.29
Boeing 777-200LR 347,450 223.168
Boeing 747-100 340,200 265.300
Airbus A350-1000 308,000 233.5
Boeing 777-300 299,370 237.683
Boeing 777-200ER 297,550 213.00
Airbus A340-300 276,700 190
McDonnell Douglas MD-11 273,300 185
Airbus A350-900 270,000 175
Ilyushin Il-96M 270,000 195.04
McDonnell Douglas DC-10 256,280 183
Boeing 787-9 254,000 192.777
Boeing 787-10 254,000 201.849
Airbus A340-200 253,500 181
Airbus A330-900 251,000 191
Ilyushin IL-96-300 250,000 175
Airbus A330-300 242,000 185
Airbus A330-200 242,000 180
Lockheed L-1011-500 231,300 166.92
Boeing 787-8 228,000 172.365
Lockheed L-1011-200 211,400
Ilyushin IL-86 208,000 175
Boeing 767-400ER 204,000 158.758
Airbus A300-600R 192,000 140
Boeing 767-300ER 187,000 136.08
Concorde 185,000 111.1
Airbus A300-600 163,000 138
Boeing 767-300 159,000 136.078
Airbus A310-300 157,000 124
Vickers VC10 152,000 151.9
Boeing 707-320B 151,000 97.5
Boeing 707-320C 151,000 112.1
Douglas DC-8-61 147,000
Airbus A310-200 142,000 123
Airbus A400M 141,000 122
Douglas DC-8-32 140,000
Douglas DC-8-51 125,000
Boeing 757-300 124,000 101.6
Boeing 707-120B 117,000 86.3
Boeing 757-200 116,000 89.9
Boeing 720B 106,000 79.5
Boeing 720 104,000 79.5
Tupolev Tu-154M 104,000 80
Tupolev Tu-204SM 104,000 87.5
Convair 880 87,500
Boeing 737-900 85,000 66.36
Boeing 737-900ER 85,000 71.35
Boeing 727-200 Advanced 84,000 70.1
Airbus A321-100 83,000 77.8
Boeing 737-800 79,000 65.32
Boeing 727-200 78,000 68.1
McDonnell-Douglas MD-83 73,000 63.28

Ans2-

Airspeed -

Airspeed is the speed at which aircraft is moving with respect to the air.

ground speed-

It is the speed of the aircraft with respect to the ground.

Ans3)- The reason why it is not recommended to use aircraft engine power to move it on the ground at Airport-

1 Aircraft engine uses so much energy so it's better to use towing the aircraft in place of the aircraft engine

2 Pilot will not have a wide range of view so the pilot needs an instructor to use the engine.

3 Noise by the aircraft engine is so much so it's not good to use the engine

4 Pilot cannot judge that any aircraft wings are near to the wings of his aircraft so accident chances increase so it's not good to use aircraft engine

So generally we use towing to move the aircraft when it is not on the runway.

Ans 4)

The way aircraft pushed on the runway before take-off-

Gnarly aircraft use tug to move the aircraft into the runway. Because it is safer to use another vehicle to move the aircraft because it can damage the building and by itself, if not properly managed. So towing only is the better option to move the aircraft to the runway. After that throttle can be used to move the aircraft which is called taxiing.

Ans5)

Take-off power-

The amount of power required for any aircraft to take off is called Take-off power. The power required for aircraft at land and take-off is very high compared to all operations. generally, take off the power will be 8000 watt-hour

Tyre design -

In any aircraft number of tyres increases as the load and speed increase. Aircraft tires are used only when aircraft take off and when aircraft land but at this time pressure on the tire is very high so the tire is designed to withstand higher power below are the aircraft tire layers are shown by which tyres are made.

Aircraft tires structure made by a combination of this material-

1 Rubber

2 Nylon

3 Cord

4 Steal

These tires are combined by a vulcanized process. This process is a chemical process to convert polymers into more durable materials by introducing cross-links. This process is useful to increase the strength, elasticity, and stability of the tire. There are two types of tires Radial and bias. Each tire has a unique property. To understand the difference between these two tires we need to know about the ply rating. Ply Rating is the number of rubbers layers added to the tyre. The number of layers of rubber and the angles at which they are laid dictate the strength and load capacity of the tire.

Bais-ply tire-

In bais ply, rubber layers are running diagonally that are perpendicular to each other. These tyres are used maximum due to maximum strength. Inter treads Reinforced fabric used in a bias tyre. It provides extra high-speed stability. protects the casing plies from damage and can act as wear indicators on re-manufactured tires.

Radial ply tyre-

It is having several tires running radially approximate perpendicular to the centerline of the tire It is low in weight but has less strength compared to the bias tire.

Different components of the tyre-

Different Components Of Tire-

Shoulder

It is the portion of the tread used in between the tread center and the tire sidewall. The tire shoulder offers support and protection to both the sidewall and the tread. The shoulder is a thick part of the tire, enabling the tire to more easily hold its form during cornering maneuvers.

Beads

The bead wire attaches the tire to the rim and ensures an airtight seal. Beads consist of bundles of high-tensile steel wires, each strand of which is coated in a rubber compound and wound into coils of the correct diameter for a given tire size.

Tread
It is special composite rubber used to reduce wear and tear, cutting, chunking, and heat build-up. Circumferential grooves are used in the tread to not get affected by the water beneath the tread in wet runway conditions. The tread also helps to reduce the risk of aqua planning and improves traction and grip between the tread and runway surface.

Under tread
The under tread is a layer of rubber that is designed to improve the adhesion between the tread and the casing plies.

Sidewall
The sidewall is the area of the tire between the shoulder and the bead. The sidewalls of the tire are covered with a layer of specially formulated rubber treated with anti-oxidants. The sidewall of the tire protects the casing from the effects of weathering and offers resistance to cuts and flexing.

Casing
The foundation strength of the tire is provided by the casing plies. Casing plies are layers of fabric coated with a high modulus of elasticity rubber on both sides to improve its elastic strength.

Chafers
Chafers are made of tough nylon material and are fitted around the bead clinch area to resist chafing damage (It is damage caused to the skin of the tire due to repetitive rubbing) to both tire and rim flange.

Inner tread
Tubeless tires have a layer of rubber bonded to the inside of the first casing ply from bead to bead to resist the permeation of nitrogen and moisture into the casing.

Rolling resistance-

It is the force resisting the speed of the vehicle. And also it is the energy required by the tire to keep moving at constant speed on the runway. It is also called rolling friction and rolling drag. This is having two forms1 hysteresis loss 2 It is due to the permanent deformation of an object or surface.

Fr=Crr * N

Crr=friction coefficient

N= normal force

Fr = Friction force

Tyre pressure-

Aircraft tires are usually made for high pressure for a short duration of time due to the reason that when aircraft are landing or take-off that time tires will have high pressure. An aircraft can handle a 38-tonne load. Aircraft Tyre is used to have high pressure of about 200 pounds per square inch. Boeing 777-300 ER main tires are inflated to 220 psi.

Brake forces when landing an aircraft-

Aircraft Disc brake-

An electric signal is sent by the pilot from the deck to the hydraulic actuator near the main landing gear. Now here high pressure is applied by the disc to the wheels against the motion thus wheels start slowing down.

Reverse the thrust brake-

when the Pilot is reversing the thrust of the aircraft then this thrust will oppose the motion of the aircraft

so it will slow down.

Airbag brake-

when the Plane is landing then air bad is open which opposes the speed of the craft due to airflow opposed by air bad. so aircraft will start slowing down.

Ans 6-

calculation of force and power required to push/pull an aircraft by a towing vehicle-

Assumptions for Boeing 747-200-

aircraft mass(M)=396,900 kg

mass of the towing vehicle(m1)=60000 kg

coefficient of rolling resistance=0.02

frontal area(A)=40 m^2

Aircraft drag coefficient(Cd1)=0.7

Towing vehicle drag coefficient(Cd2)=0.12

density of air(rho)=1.225kg/m^3

gravity(g)=9.81m/sec^2

speed of the aircraft(v)=6 m/sec

solution-

Rolling resistance force for the aircraft(Frra)=coefficient of rolling resistance*M*g

=0.02*396900*9.81

Rolling resistance force for the aircraft(Frra)=77871.78 N

for towing vehicle(Frrv)=coefficient of rolling resistance*M1*g

=0.02*60000*9.81

for towing vehicle(Frrv)=11772N

when the vehicle is towing the aircraft then we need total rolling resistance then we need to add this

Total rolling resistance force=Frra+Frrv

=11772+77871.78

Total rolling resistance =89643.78N

Aerodynamic drag force=1/2*ρ*A*V^2*(Cd(aircraft)+Cd(vehicle)

=1/2*1.225*40*6^2(0.12+0.7)

Aerodynamic drag force =723.24N

Total force for the towing vehicle=Aerodynamic drag force+Total rolling resistance force

=723.24+89643.78

Total force for the towing vehicle =90367.02 N

Total power for the towing vehicle= total force*velocity

=90367.02*6

=542202.12watts

Total power for the towing vehicle =542202.12 Kwatts

The force and power required by the towing vehicle are 92536.74 N, and 542202.12 k.watts.

Ans6 B-

Matlab model for the above problem

required software-Matlab Simulink

Blocks required-

constant block, product block, add block, square block

procedure-

I have calculated individual rolling resistance force and Aerodynamics force and added them up as shown below.

By multiplying total force by velocity we have gotten total power as in the previous problem

I have given run time as 10 sec

We have run the model

Output-

As shown above, I have gotten the total force and power as 90367.02 N and 542202.12 k.watts.

Ans7A-

Make a towing vehicle with an electric motor so we need to calculate the torque required for the motor to be used as towing

Assumptions for Airbus A380-800

aircraft mass(M)=575000 kg

mass of the towing vehicle(m1)=70000 kg

coefficient of rolling resistance=0.02

frontal area(A)=40 m^2

Aircraft drag coefficient(Cd1)=0.7

Towing vehicle drag coefficient(Cd2)=0.12

density of air(rho)=1.225kg/m^3

gravity(g)=9.81m/sec^2

speed of the aircraft(v)=7 m/sec

wheel redius=55inch=1.397m

solution-

Rolling resistance force for the aircraft(Frra)=coefficient of rolling resistance*M*g

=0.02*575000*9.81

Rolling resistance force for the aircraft(Frra)=112815 N

for towing vehicle(Frrv)=coefficient of rolling resistance*M1*g

=0.02*70000*9.81

for towing vehicle(Frrv)=13734N

when the vehicle is towing the aircraft then we need total rolling resistance then we need to add this

Total rolling resistance force=Frra+Frrv

=112815+13734

Total rolling resistance force =126549N

Aerodynamic drag force=1/2*ρ*A*V^2*(Cd(aircraft)+Cd(vehicle)

=1/2*1.225*40*7^2(0.12+0.7)

Aerodynamic drag force =984.41N

Total force for the towing vehicle=Aerodynamic drag force+Total rolling resistance force

=984.41+126549

Total force for the towing vehicle =127533.41N

so Torque=127533.41*1.397

=178164.17377 N-m

I have used DC7 four-quadrant chopper drive to perform this task as shown below-

I have given input voltage as 10000 volt

and load torque=178164.17377 N-m

And I have given the run time as 7 seconds and I have run the model.

Output-

Below is graph shows the duty cycle, input voltage, current and speed of the motor.

after zooming we have clear picture of duty cycle, armature current, armature voltage, motor speed

as shown below

Below is the excel sheet used to calculate the torque required for the vehicle to move by assumption of above problem

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