Challenge

Project-1: Powertrain for aircraft in runways

OBJECTIVES :--

Part A:--

1. Search and list out the total weight of various types of aircrafts.

2. Is there any difference between ground speed and air speed?

3. Why is it not recommended to use aircraft engine power to move it on the ground at Airport?

4. How an aircraft is pushed to runway when its ready to take off?

5. Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.

Part B:--

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.

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. Also, Design the parameters in excel sheet.

PART-A

QUESTION:1. Search and list out the total weight of various types of aircrafts.

ANSWER:--

The "Aircraft Gross Weight" (also known as the All-Up Weight And Abbreviated AUW) is the total aircraft weight at any moment during the flight or ground operation.

An aircraft's gross weight will decrease during a flight due to fuel and oil consumption. An aircraft's gross weight may also vary during a flight due to payload dropping or In-Flight ReFueling

At the moment of releasing its brakes, the gross weight of an aircraft is equal to its takeoff weight. During flight, an aircraft's gross weight is referred to as the en-route weight or in-flight weight.

The following image Shows takeoff weight components.

The total weight of various types of aircrafts Are Shown Below :--

"MTOW = Maximum take-off weight, MLW = Maximum landing weight, TOR = Take-off run (SL, ISA+15°, MTOW), LR = Landing run (SL, ISA+15°, MLW)"

Type MTOW [kg] MLW [tonnes] TOR [m] LR [m] ICAO category FAA category
Antonov An-225 640,000 591.7 3500 Heavy Super
Scaled Composites Model 351 Stratolaunch 589,670 3660 Heavy Super
Airbus A380-800[1][2][3] 575,000 394 3100 1930 Heavy 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-124-100M 405,060 330 2520 900 Heavy Heavy
Boeing 747-400 396,900 295.742 3018 2179 Heavy Heavy
Lockheed C-5 Galaxy[4][5][6] 381,000 288.417 2530 1494 Heavy Heavy
Boeing 747-200[7] 377,840 285.700 3338 2109 Heavy Heavy
Boeing 747-300[7] 377,840 260.320 3222 1905 Heavy Heavy
Airbus A340-500[8] 371,950 240 3050 2010 Heavy Heavy
Airbus A340-600[8] 367,400 256 3100 2100 Heavy Heavy
Boeing 777F 347,800 260.816 2830 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[7] 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[8][9] 276,700 190 3000 1926 Heavy Heavy
McDonnell Douglas MD-11 273,300 185 2990 1890 Heavy Heavy
Airbus A350-900 270,000 175 2670 1860 Heavy Heavy
Ilyushin Il-96M 270,000 195.04 3115 2118 Heavy Heavy
McDonnell Douglas DC-10 256,280 183 2990 1890 Heavy Heavy
Boeing 787-9[10] 254,000 192.777 2900 Heavy Heavy
Boeing 787-10[10] 254,000 201.849 Heavy Heavy
Airbus A340-200[8][11] 253,500 181 2990 Heavy Heavy
Airbus A330-900 251,000 191 3100 Heavy Heavy
Ilyushin IL-96-300 250,000 175 2600 1980 Heavy Heavy
Airbus A330-300[12][13] 242,000 185 2500 1750 Heavy Heavy
Airbus A330-200[12][13] 242,000 180 2220 1750 Heavy Heavy
Lockheed L-1011-500 231,300 166.92 2636 Heavy Heavy
Boeing 787-8[10] 228,000 172.365 3300 1695 Heavy Heavy
Lockheed L-1011-200 211,400 Heavy Heavy
Ilyushin IL-86 208,000 175 Heavy Heavy
Boeing 767-400ER 204,000 158.758 3414 Heavy Heavy
Airbus A300-600R[14] 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[14] 163,000 138 2324 1536 Heavy Heavy
Boeing 767-300 159,000 136.078 2713 1676 Heavy Heavy
Airbus A310-300[14] 157,000 124 2290 1490 Heavy Heavy
Vickers VC10 152,000 151.9 Heavy Heavy
Boeing 707-320B[15] 151,000 97.5 Heavy Heavy
Boeing 707-320C[15] 151,000 112.1 Heavy Heavy
Douglas DC-8-61 147,000 Heavy Heavy
Airbus A310-200[14] 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 707-120B[15] 117,000 86.3 Medium Large
Boeing 757-200 116,000 89.9 2347 1555 Medium Large
Boeing 720B[16] 106,000 79.5 Medium Large
Boeing 720[16] 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[17] 84,000 70.1 Medium Large
Airbus A321-100[18] 83,000 77.8 2200 1540 Medium Large
Boeing 737-800 79,000 65.32 2308 1634 Medium Large
Boeing 727-200[17] 78,000 68.1 Medium Large
McDonnell-Douglas MD-83 73,000 63.28 Medium Large
Boeing 727-100[17] 72,500 62.4 Medium Large
Boeing 727-100C[17] 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[18] 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[18] 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[18] 59,000 57.5 1375 1340 Medium Large
Boeing 717-200HGW 55,000 47.174 1950 Medium Large
  • Maximum take-off weight:--

The maximum takeoff mass (MTOM), often referred to as maximum takeoff weight (MTOW), of an aircraft is a value defined by the aircraft manufacturer. It is the maximum mass at which the aircraft is certified for take off due to structural or other limits. MTOW is usually specified in units of kilograms or pounds.

  • Maximum landing weight:--
The maximum landing weight is the maximum aircraft gross weight due to design or operational limitations at which an aircraft is permitted to land. The MLW is set in order to ensure safe landings; if an aircraft weighs too heavy during touchdown, it may suffer structural damage or even break apart upon landing.
  • Maximum taxi weight:--

The maximum taxi weight (also known as the Maximum Ramp Weight (MRW) 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 weight of taxi and run-up fuel for the engines and the APU (Auxillary Power Unit).

It is greater than the maximum takeoff weight due to the fuel that will be burned during the taxi and runup operations.

  • Maximum zero-fuel weight (MZFW):--

The maximum zero fuel weight (MZFW) is the maximum weight allowed before usable fuel and other specified usable agents (engine injection fluid, and other consumable propulsion agents) are loaded in defined sections of the aircraft as limited by strength and airworthiness requirements.

QUESTION,2. Is there any difference between ground speed and air speed?

ANSWER:--

  • Ground Speed:--

Ground speed is the horizontal speed of an aircraft relative to the Earth’s surface. It is vital for accurate navigation that the pilot has an estimate of the ground speed that will be achieved during each leg of a flight. An aircraft diving vertically would have a ground speed of zero

  • Air Speed:--

The speed of an aircraft relative to the air through which it is moving

Airspeed = Ground Speed - Wind Speed

On a perfectly still day, the airspeed is equal to the ground speed. But if the wind is blowing in the same direction that the aircraft is moving, the airspeed will be less than the ground speed.

Before Going In To The Diffrence In Them The "Wind Speed" Comes Into Picture

  • Wind Speed:--

For a reference point picked on the ground, the air moves relative to the reference point at the wind speed. Notice that the wind speed is a Vector Quantity and has both a magnitude and a direction. Direction is important. A 20 mph wind from the west is different from a 20 mph wind from the east. The wind has Components in all three primary directions (north-south, east-west, and up-down). In this figure, we are considering only velocities along the aircraft's flight path. A positive velocity is defined to be in the direction of the aircraft's motion. We are neglecting Cross Wind which occur perpendicular to the flight path but parallel to the ground, and Up drafts and down drafts which occur perpendicular to the ground.

The difference between ground speed and air speed:--

Airspeed is the vector difference between the ground speed and the wind speed. On a perfectly still day, the airspeed is equal to the ground speed. But if the wind is blowing in the same direction that the aircraft is moving, the airspeed will be less than the ground speed.

Here are the major differences between ground speed and true airspeed: An aircraft's true airspeed tells us how fast it moves relative to the surrounding air, while the ground speed is its horizontal speed relative to the earth's surface. In still air, an aircraft's ground speed is equal to its true airspeed.

Example:--

  • For example taking wind speed as 20 km/hr and runway is east-west runway the wind blowing towards west and the flight runs at 80 km/hr the wind speed acting in the west and the flight takes off east then the

`Airspeed=Groundspeed(80)- W i n d Speed(-20) =100 kmph`

If the planes runs towards west along the wind blowing direction then

The`Airspeed=Groundspeed(80) - W i n d Speed(20)=60kmph`

Hence there is a difference between ground speed and air speed.

GROUND SPEED AIR SPEED
1. Ground speed is the speed of
the aeroplane relative to the earth surface.
1. Air speed is the speed of
aeroplane relative to the air it is flying in.
2. Ground speed determines how
fast an aircraft will get to its destination.
2. Air speed determines whether
there is enough airflow around an aircraft to make it fly.
3. Ground speed is the sum of
air speed and wind speed.
3. Air speed is independent of
ground speed.

QUESTION,3.Why is it not recommended to use aircraft engine power to move it on the ground at Airport?

ANSWER:--

For movement on the ground the aircraft uses it own engine power, which is called taxing.

Although many aircrafts are capable of moving in backward using reverse thrust, as result the jet blast or prop wash might cause damage to the terminal building or equipment. Engine close to ground may also blow sand and debris forward and then suck them into the engine, causing damage to the engine. Therefore there are pushback trucks in the airport. A pushback truck lifts the front weel of the aircraft, their role in most airports is to move the aircraft away from the parking spot on to the taxiways, which is called towing.

Unwanted consequences mainly arising from the unintended movement of the aircraft during engine running.

  1. Effectively a loss of control can happen, especially during high power engine running. Damage can occur to the aircraft itself, other aircraft nearby or to airside structures.
  2. There is a risk of injury to ground support personnel who may be in relatively close proximity to the aircraft.
  3. It is easier for truck driver to see the surroundings better than the pilot sitting in the cockpit with limited window. The pushback driver knows the airport better than the pilot.
  4. It also saves fuel. virgin Atlantic had proposed a new system in which pushback truck will move the aircraft all the way to runway to save fuel and reduce impact of environment.
  5. The plane engines are very loud. When more than one plane will add up their sound, than it will not be pleasent for passangers and others near airport.

QUESTION,4. How an aircraft is pushed to runway when its ready to take off?

ANSWER:--

Genrelly There are 3 Steps That The AirCraft Has To Gothrugh :--

  1. Towing
  2. Taxing
  3. Takeoff
  • TOWING:--

In the parking areas, where taxing the aircraft is not practical or is unsafe, such as moving aircraft in and out of mainteance hangars, or moving aircraft that are not under their own power or moving backward, then towing of aircraft is performed using the power of a specialized ground vehicle attached to or supporting the nose landing gear. The traditional method of allowing the ground vehicle to move an aircraft is to attach it to the aircraft nose landing gear by means of towbar.

As the pilot can't see what is behind the aircraft, steering is done by pushback tractor driver and depending on the aircraft type and airline procedure, a bypass pin may be temporarily installed into the nose gear to disconnect it from the aircraft's normal steering mechanism. Once the towing is completed, the towbar is disconnected and the aircraft can taxiing forward under its own power.

  • TAXING:--

Taxing is the movement of an aircraft on the ground under its own power while on the suface. The aircraft always moves following the yellow lines, to avoid collision with the surrounding buildings, vehicle or other aircrafts. The taxiing motion has a speed limit. Before making turn the pilot reduces speed further to prevent tire skids just like other vehicles. The reason for taxing is to reach the vehicle into runway or from runway to terminal.

  • TAKE-OFF:--

Take-off is the phase of flight in which an aircraft goes through a transition from moving along the ground (taxiing) to flying in the air, usually starting on a runway. Usually the engines are run at full power during takeoff. Following the taxi motion, the aircraft stops at the starting line of the runway. Before takeoff, the engines, particularly piston engines, are routinely run up at high power to check for engine-related problems. This makes a considerable noise. When the pilot releases the brakes, the aircraft starts accelerating rapidly until the necessary speed for take-off is achieved.

QUESTION,5.Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing

ANSWER:--

  • TAKE-OFF POWER:--

For light aircraft, usually full power is used during takeoff. Large transport category (airliner) aircraft may use a reduced power for takeoff, where less than full power is applied in order to prolong engine life, reduce maintenance costs and reduce noise emissions. In some emergency cases, the power used can then be increased to increase the aircraft's performance. Before takeoff, the engines, particularly piston engines, are routinely run up at high power to check for engine-related problems. The aircraft is permitted to accelerate to rotation speed (often referred to as Vr). The term rotation is used because the aircraft pivots around the axis of its main landing gear while still on the ground, usually because of gentle manipulation of the flight controls to make or facilitate this change in aircraft attitude (once proper air displacement occurs under / over the wings, an aircraft will lift off on its own; controls are to ease that in).

The nose is raised to a nominal 5°–15° nose up pitch attitude to increase lift from the wings and effect liftoff. For most aircraft, attempting a takeoff without a pitch-up would require cruise speeds while still on the runway.

  • TYRE DESING :--

An aircraft tire is designed to withstand extremely heavy loads for short duration of time. The number of tires required for aircraft increases with the weight of the aircraft, as the weight of the airplane needs to be distributed more evenly. For example -A Boeing 737NG & 737MAX uses 6 wheels, Boeing 787 uses 10 wheels, Boeing 777 uses 14 wheels and Airbus A380 uses 22 wheels.

Aircraft tires also include fusible plugs (which are assembled on the inside of the wheels), designed to melt at a certain temperature. Tires often overheat if maximum braking is applied during an aborted takeoff or an emergency landing. The fuses provide a safer failure mode that prevents tire explosions by deflating in a controlled manner, thus minimizing damage to aircraft and objects in the surrounding environment.

Designing aircraft tires is a very intense undertaking. Carcass plies are used to form the tire. They are sometimes called casing plies. An aircraft tyre is constructed for the purpose it serves.

(i)They support the weight of an aircraft while it is on the ground.

(ii)It also provides the necessary traction for braking and stopping of an aeroplane.

(iii)Tyre also helps to absorb the shock of landing and provide cushioning the roughness of takeoff, roll-out, and taxi operations.

Once an aircraft manufacturer goes to the tire manufacturer with the size and weight requirements, the tire manufacturer begins the process of designing a tire that meets the needs of the aircraft manufacturer as well as all regulatory requirements — including foreign regulations in many cases. Engineers are challenged with designing tires with cool running, heat-resistant materials while simultaneously exceeding tire service requirements.

Based on the type of plies used the tyres can be:

Two types of tires are used in aircraft applications — bias-ply tires and radial tires. Although both types of tires share some similarities in design, there are difference between a radial tyre and bias (cross-ply) tyre is the lay of the plies within the tyre carcass. The remainder of the tyre is very similar in construction in both.

Radial ply tires - these tyres feature a flexible casing which is constructed of rubber-coated ply cords which extend around the beads and are substantially at 90° to the centerline of the tread. The casing is stabilized by an essentially inextensible circumferential belt.

Bias ply tires - these tyres feature a casing which is constructed of alternate layers of rubber-coated ply cords which extend around the beads and are at alternate angles substantially less than 90° to the center line of the tread.

Based on the method for containing the inflation gas the tyres can be:

  • Tube-type tyres - these require tubes for inflation retention.
  • Tubeless tyres - these do not require tubes. They are constructed with an innerliner (integral rubber lining that is engineered to prevent the diffusion of the inflation gas into the casing.)

The Tyre Components Are Explained Briefly:--

Breakers:-- Breakers are reinforcing plies of rubber-coated fabric placed under the buff line cushion to protect casing plies and strengthen and stabilize the tread area. They are considered an integral part of the casing construction.

Tread:-- The tread is made of rubber mixed with other additives to obtain the desired level of toughness, durability, and resistance to wear. The tread pattern is designed to aircraft operational requirements, with the ribbed tread design used widely due to its good traction under varying runway conditions.

Sidewalls:-- The sidewall is a protective layer of rubber that covers the outer casing ply. It extends from the tread edge to the bead area.

Casing Plies:-- Alternate layers of rubber-coated fabric (running at opposite angles to one another) provide the strength of the tire

Chafers:-- A protective layer of rubber and/or fabric located between the casing plies and wheel to minimize chafing.

Ply Turnups:-- The casing plies are anchored by wrapping them around the wire beads, thus forming the ply turnups.

Flippers:-- Layers of rubberized fabric that help anchor the bead wires to the casing and improve the durability of the tire.

Wire Beads:-- Hoops of high tensile strength steel wire that anchor the casing plies and provide a firm mounting surface on the wheel. The outer edge of the bead that fits against the wheel flange is called the bead heel. The inner bead edge is called the bead toe.

Apex Strip:-- A wedge of rubber affixed to the top of the bead bundle.

Bead toe:-- It is the inner edge of the bead.

Bead heel:-- It is the outer edge of the heel.

Inner Liner:-- In tubeless tires, the liner is a layer of low permeability rubber that acts as a built-in tube and restricts gas from diffusing into the casing plies. In tube-type tires, a thinner liner is used to prevent tube chafing against the inside ply.

Caroass Plies:-- Layers of rubber-coated fabric piles which have the cords running from bead to bead. These provide the tire with strength in the sidewall area.

Tread Reinforcing Ply:-- One or more layers of fabric that strengthens and stabilizes the tread area for high-speed operation. It also serves as a reference for the buffing process when tires are retreaded.

Buff Line Cushion:-- The buff line cushion is made of rubber compound to enhance the adhesion between the tread reinforcing ply and the breakers or casing plies. It is of sufficient thickness to allow for the removal of the old tread when the tire is retreaded.

Tubeless tyres are more advantageous over tube-type. There is no longer the use of tube-type tyre in recent aviation.

Aircraft tyres must have an approved speed and load rating and have sufficient clearance when retracted through landing gear to allow for tyre growth. Tyre growth is the increase in the size of the tyre due to centrifugal forces at high speed.

Retreading:–- Retreading is methods of restoring a worn tyre by renewing the tread area or by renewing the tread area plus one or both sidewalls. Repairs are included in the tyre retreading process.

Load Rating:-- Load rating is the maximum permissible load at a specified inflation pressure.

Ply Rating:-- Ply Rating is used to identify the maximum recommended load rating and inflation pressure for a specified tyre. It is an index of tyre strength.

Speed Rating:--The speed rating is the maximum takeoff speed to which the tyre has been tested.

Skid Depth:-- Skid depth is the distance between the tread surface and the deepest groove as measured in the mould.

  • ROLLING RESISTANCE:--

The resistance offered by the tyres against motion of vehicle/aircraft is called as rolling resistance, the rolling resistance is produced during take off/landing in the runway.

resistance co-efficient = urr (It varries for different types of environment)

`mu_(rr)` Typical Values For Aircraft-
SURFACE BRAKES OFF BRAKES ON
Dry concrete/ asphalt 0.03-0.05 0.3-0.5
Wet concrete/ asphalt 0.05 0.15-0.3
Icy concrete/ asphalt 0.02 0.06-0.10
Hard turf 0.05 0.4
Firm dirt 0.04 0.3
Soft turf 0.07 0.2
Wet grass 0.08 0.2

Rolling resistance force `F_(rr) = mu_(rr) * m * g`

  • TYRE PRESSURE:--

Aircraft tires are usually inflated with nitrogen to minimize expansion and contraction from extreme changes in ambient temperature and pressure experienced during flight. Dry nitrogen expands at the same rate as other dry atmospheric gases (normal air is about 80% nitrogen), but common compressed air sources may contain moisture, which increases the expansion rate with temperature.

Tests of airliner aircraft tires have shown that they are able to sustain pressures of maximum 800 psi (55 bar; 5,500 kPa) before bursting. During the tests the tires have to be filled with water, to prevent the test room being blown apart by the energy that would be released by a gas when the tire bursts.

The main landing gear on the Concorde was typically inflated to 232 psi (16.0 bar), whilst its tail bumper gear tires were as high as 294 psi (20.3 bar). The high pressure and weight load on the Concorde tyres were a significant factor in the loss of Air France flight 4590

The pressure generally is vert high in an aircraft tire to reduce the rolling resistance and to withstand the weight. Usually the tyre pressure will be arround 190 to 320 psi based on the type of aircraft. Aircraft tyres are usually inflated with nitrogen to minimize expansion and contraction from extreme changes in ambient temperature and pressure experienced during flight.

According to U.S. Federal Aviation Administration(FAA) Technical Standard Order TSO-C62c, the maximum allowable tire pressure loss is 5% per day.

  • BRAKE FORCES WHILE LANDING:--

Aircraft braking systems include: Aircraft disc brakes in the landing gear, used to brake the wheels while touching the ground. These brakes are operated hydraulically or pneumatically. In most modern aircraft they are activated by the top section of the rudder pedals ("toe brakes").

Stopping an aircraft landing at 180-200 mph requires a lot of braking force. To do this, the aircraft has brake unit on each of the wheels on the main gear assembly. On landing, pilots should use aerodynamic braking by applying extra back-pressure on the stick or yoke. Extreme caution should be used when applying brakes at any significant speed, and only when the end of the runway is quickly approaching. Never step on the brakes to make a runway exit. Applying the brakes at too high a speed could burn the tires, wear out the brakes, or result in a ground loop

  • Thrust Reverse: that allow thrust from the engines to be used to slow the aircraft.

  • Air Brake: It is dedicated flight control surface, that work by increasing drag.

  • Drogue Parachute: It is used by several former and current military and civilian aircraft

--------------------------------------------------------*************---------------------------------------------------------

PART-B

QUESTION,6.A. With necessary assumptions, calculate the force and power required to push / pull an aircraft by a towing vehicle.

ANSWERS:--

push or pull an aircraft by a towing vehicle, 3 type of forces will act on that vehicle.

Those are -

  1. Rolling resistance force
  2. Aerodynamic drag force
  3. Hill climbing force.
  • Rolling resistance force(`F_(rr))`:--

Rolling resistance is the combination of forces that work against the forward motion of your vehicle. The weight of the vehicle, gravity and inertia, the amount of friction between the tires and the road surface, and air drag all play a part.

`therefore,F_(rr)=mu_(rr)*m*g`

Where,

`F_(rr)`= Rolling resistance

`mu_(rr)`=Rolling Resistance co-efficient

`m`= Total mass of the vehicle (vehicle mass + payload) in kg

`g`=gravitational constant , that is `9.8 m/s^2`

  • Aerodynamic drag force(`F_(ad)`):--

An aerodynamic force is a force exerted on a body by the air in which the body is immersed, and is due to the relative motion between the body and the gas.

`thereforeF_(ad)=1/2* rho*A*C_d*V^2`

Where,

`F_(ad)`=Aerodynamic drag force

`rho`= density

`A`= Frontal area of the vehicle in`m^2`

`C_(d)`= Drag Co-efficient

`V`=Velocity

  • Hill-Climbing Force:--

Hill climbing force is the force needed to move the vehicle in up gradient. To Hill Climbing force the expression of the equation is given below-

`F_(hc)=m*g*sin(psi)`

`F_(hc)`=Hill-climbing force
`m`=Total mass of the vehicle(vehicle mass + payload) in kg
`g`=Gravitational constant that is 9.8 m/s^2
`psi`=up gradient angle or inclination angle in radian
Push/Pull Power Calculation of Towing Vehicle:--
Let's assume,
The towing vehicle `mass = 50000 Kg`
The aircraft mass or payload on towing vehicle
Total mass of the vehicle`(m) = (50000+183700) = 233700 Kg`
Towing vehicle fontal area`(A) = 20 m^2`
speed of the vehicle`(V) = 30 Kmphr = 8.333 m/s`
Rolling Resistance Force =`F_(rr) = mu_(rr) * m * g`
`=0.013 * (50000+183700) * 9.8`
`=29,773.38 N`
Aerodynamic drag force=`(Fad) = (1/2) * ρ * V^2 * A * (Cd_t + Cd_a)`
`= (1/2) * 1.225 * (2.778)^2 * 20 * (0.5+0.045)`
`= 51.514 N`
Hill Climbing Force=`(Fhc) = m * g * sinpsi`
`=(50000+183700) * 9.8 * sin0`
`= 0 N`
Total traction Force =`(Tf) = Frr + Fad + Fhc`
QUESTION,6.B. Develop the model for the calculated force and power using Simulink.
ANSWER:--
Developed A Simulink Model For The Force And Power
EXPLANATION:--
  • constant blocks are used to feed the parameters such as mass, coefficients and other parameters
  • using product block the resistive forces are calculated.
  • using sum block, total resistive forces can be calculated.
  • the outputs are visualised using display blocks.

Link For Simulink Model File:--

https://drive.google.com/file/d/1uQxRDY2Yj8CPQMDi5dmr1kIbQaqe4b1I/view?usp=sharing

QUESTION,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)

ANSWER:--

Estimation of Duty Cycle:

Based on the calculation done in study 6

The Power Required for towing of the aircraft is 45.26kW.

Motor Considred for the drive train is REB 90

Technical Data:

Type Voltage Continuous / Peak power Working rotation Max torque Weight Cooling
REB 90 400–800 V 60–70 kW / 80 kW 1 500–4 000 rpm 300 Nm 22 000 g

Air / Hybrid (air + fluid)

Considering 60kW as continuous power, so the voltage will be 400V

Battery power is considred to be 550v

Duty cycle is given by`V_o/V_b`

where Vo is motor required voltage

Vb is battery voltage.

`d = 400 /550 ⇒ 0.7272`

As there will be losses due to the resistance of FET and Inductance.

Correction factor is considred to be 90%

As there is 10% loss, the voltafge demanded by the motor should be 10% more than required

`d = 0.7272 ⋅ ( 1 + 0.1 ) = 0.799 ≈ 0.8`

so the voltage demand should be around 440V from the battery.

Assumed Parameters
Mass of aircraft 233700 kg
Mass of the push back truck 1000 kg
Coefficient of Rolling Resistance 0.013
Drag Coefficient 0.545
Air density 1.125 kg/m^3
Frontal Area 20 m^2
Velocity 2.778 m/s
Uphill gradient 0 deg
Battery Voltage 550 V
Correction Factor 0.8

Block Diagram:--

Simulink Model:--

Input Signal:--

OUTPUT:--

OUTPUT FROM BATTERY:--

LINK FOR THE MODEL:--

https://drive.google.com/file/d/1txY9GSmVyQTil2Nhq9M58Pts_jOqwb37/view?usp=sharing

QUESTION,7.B. Also, Design the parameters in excel sheet

ANSWER:--
LINK FOR EXCEL SHEET FILE :--
-----------------------------------------------------***********************-------------------------------------------------------
CONCLUSION:--

Part A:--

1. We have Searched and list out the total weight of various types of aircrafts.

2. We have shown that there any difference between ground speed and air speed?

3. We showed Why is it not recommended to use aircraft engine power to move it on the ground at Airport?

4. we shown How an aircraft is pushed to runway when its ready to take off?

5. Then at last we Learned about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.

Part B:--

6. A. With necessary assumptions, We have calculated the force and power required to push / pull an aircraft by a towing vehicle.

B. Then We have Developed the model for the calculated force and power using Simulink.

7. A. Then We have Designed 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. Also, We Have Designed the parameters in excel sheet and is shown.

8.Then At last we have Added all the required Document links

REFFERANCES:--

https://en.wikipedia.org/wiki/List_of_airliners_by_maximum_takeoff_weight

https://www.grc.nasa.gov/www/k-12/airplane/move.html#:~:text=Airspeed%20is%20the%20vector%20difference,speed%20and%20the%20wind%20speed.&text=On%20a%20perfectly%20still%20day,less%20than%20the%20ground%20speed.

https://www.boeing.com/commercial/aeromagazine/aero_06/textonly/s02txt.html#:~:text=High%20engine%20thrust%20during%20maintenance,had%20experienced%20anomalous%20engine%20operation.

Your portfolio, next

Ship work like this
in your own course.

Talk to a career counsellor

Free 20-minute call. We'll map the right course to where you want to work.

By submitting you agree to our Terms and Privacy Policy.