Challenge

Project-1: Powertrain for aircraft in runways

part A

1.ans

Aim: to Search and list out the total weight of various types of aircrafts.

Typical Airplane Weights

Aircraft Empty Weight Max Fuel Weight Max Cargo Weight Max Gross Takeoff Weight
Antanov AN-225 628,000 lbs
285,000 kg
661,400 lbs
300,000 kg
417,000 lbs
190,000 kg
1,411,000 lbs
640,000 kg
Airbus A380-800 611,000 lbs
277,000 kg
560,000 lbs
254,000 kg
185,000 lbs
84,000 kg
1,268,000 lbs
575,000 kg
Boeing 747-800 485,300 lbs
220,100 kg
427,400 lbs
194,000 kg
295,000 lbs
134,000 kg
987,000 lbs
447,700 kg
Airbus A340-500 370,000 lbs
168,000 kg
386,300 lbs
175,000 kg
119,000 lbs
54,000 kg
820,000 lbs
372,000 kg
Boeing 777-300ER 370,000 lbs 168,000 kg 320,800 lbs 145,500 kg 148,000 lbs
67,100 kg
776,000 lbs
352,000 kg
Boeing 787-10 299,000 lbs 135,500 kg 223,500 lbs
101,500 kg
126,300 lbs 57,300 kg 560,000 lbs
254,000 kg
Boeing 737-900 98,500 lbs
44,700 kg
53,100 lbs
24,000 kg
44,600 lbs
20,200 kg
187,000 lbs
85,000 kg
Airbus A320-100 93,900 lbs
42,600 kg
48,700 lbs
22,100 kg
44,000 lbs
20,000 kg
150,000 lbs
68,000 kg
Embraer 190 63,500 lbs
28,800 kg
28,600 lbs
13,000 kg
28,800 lbs
13,100 kg
106,000 lbs
48,000 kg
Gulfstream G650 54,000 lbs 24,500 kg 48,200 lbs 21,900 kg 6,500 lbs
3,000 kg
100,000 lbs
45,200 kg
Bombardier CRJ900 48,160 lbs 21,850 kg 19,600 lbs 8,900 kg 6,075 lbs 2,760 kg 80,500 lbs
36,500 kg
Bombardier Q400 39,300 lbs
17,800 kg
11,700 lbs
5,300 kg
18,700 lbs
8,500 kg
62,000 lbs
28,000 kg
Learjet 75 13,900 lbs 6,300 kg 6,060 lbs
2,750 kg
2,900 lbs
1,300 kg
21,500 lbs
9,700 kg
Cessna Citation CJ4 10,300 lbs 4,700 kg 5,800 lbs
2,650 kg
2,200 lbs 1,000 kg 17,200 lbs
7,800 kg
Beechcraft King Air B100 7,100 lbs 3,200 kg 3,200 lbs
1,450 kg
4,150 lbs
1,900 kg
12,000 lbs
5,400 kg
Diamond DA50 RG 3,200 lbs
1,450 kg
340 lbs
155 lbs
1,250 lbs
560 kg
4,400 lbs
2,000 kg
Beechcraft Bonanza G36 2,500 lbs 1,150 kg 450 lbs
200 kg
850 lbs
385 kg
3,660 lbs
1,660 kg
Cessna 206H 2,200 lbs
990 kg
520 lbs
235 kg
1,150 lbs
520 kg
3,600 lbs
1,630 kg
Sirrus SR22 2,250 lbs 1,000 kg 485 lbs
220 kg
950 lbs
430 kg
3,600 lbs
1,630 kg
Cessna 172R 1,700 lbs
770 kg
380 lbs
170 kg
560 lbs
255 kg
2,425 lbs
1,100 kg

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
Airbus A220-100 59,000 50.8 1,463 1,356 Medium Large
Airbus A220-300 65,000 57.61 1,890 1,494 Medium Large
Airbus A300-600[14] 163,000 138 2,324 1,536 Heavy Heavy
Airbus A300-600R[14] 192,000 140 2,385 1,555 Heavy Heavy
Airbus A310-200[14] 142,000 123 1,860 1,480 Heavy Heavy
Airbus A310-300[14] 157,000 124 2,290 1,490 Heavy Heavy
Airbus A318[18] 59,000 57.5 1,375 1,340 Medium Large
Airbus A319[18] 64,000 62.5 1,850 1,470 Medium Large
Airbus A320-100[18] 68,000 66 1,955 1,490 Medium Large
Airbus A321-100[18] 83,000 77.8 2,200 1,540 Medium Large
Airbus A330-200[12][13] 242,000 180 2,220 1,750 Heavy Heavy
Airbus A330-300[12][13] 242,000 185 2500 1750 Heavy Heavy
Airbus A330-900 251,000 191 3,100 Heavy Heavy
Airbus A340-200[8][11] 253,500 181 2990 Heavy Heavy
Airbus A340-300[8][9] 276,700 190 3000 1926 Heavy Heavy
Airbus A340-500[8] 371,950 240 3,050 2,010 Heavy Heavy
Airbus A340-600[8] 367,400 256 3,100 2,100 Heavy Heavy
Airbus A350-900 270,000 175 2,670 1,860 Heavy Heavy
Airbus A350-1000 308,000 233.5 Heavy Heavy
Airbus A380-800[1][2][3] 575,000 394 3,100 1,930 Heavy Super
Airbus A400M 141,000 122 980 770 Heavy Heavy
Antonov An-124-100M 405,060 330 2,520 900 Heavy Heavy
Antonov An-225 640,000 591.7 3,500 Heavy Super
ATR 42-500 18,600 18.3 1,165 1,126 Medium Small
ATR 72-600 22,800 22.35 1,333 914 Medium Large
Avro RJ-85 42,000 36.74 Medium Large
BAe Jetstream 41 10,890 10.57 1,493 826 Medium Small
Beechcraft 1900D 7,765 7.605 1,036 853 Medium Small
Boeing 377 67,000 Medium Large
Boeing 707-120B[15] 117,000 86.3 Medium Large
Boeing 707-320B[15] 151,000 97.5 Heavy Heavy
Boeing 707-320C[15] 151,000 112.1 Heavy Heavy
Boeing 717-200BGW 50,000 46.265 1,950 Medium Large
Boeing 717-200HGW 55,000 47.174 1,950 Medium Large
Boeing 720[16] 104,000 79.5 Medium Large
Boeing 720B[16] 106,000 79.5 Medium Large
Boeing 727-100[17] 72,500 62.4 Medium Large
Boeing 727-100C[17] 72,500 62.4 Medium Large
Boeing 727-200[17] 78,000 68.1 Medium Large
Boeing 727-200 Advanced[17] 84,000 70.1 Medium Large
Boeing 737-300 63,000 51.7 1,939 1,396 Medium Large
Boeing 737-400 68,000 54.9 2,540 1,540 Medium Large
Boeing 737-500 60,000 49.9 1,832 1,360 Medium Large
Boeing 737-600 66,000 54.66 1,796 1,340 Medium Large
Boeing 737-700 70,000 58.06 1,921 1,415 Medium Large
Boeing 737-800 79,000 65.32 2,308 1,634 Medium Large
Boeing 737-900 85,000 66.36 2,500 1,704 Medium Large
Boeing 737-900ER 85,000 71.35 2,804 1,829 Medium Large
Boeing 747-8 443,613 306.175 3,100 Heavy Heavy
Boeing 747-8F 447,700 346.091 3,100 1,800 Heavy Heavy
Boeing 747-100[7] 340,200 265.3 Heavy Heavy
Boeing 747-200[7] 377,840 285.7 3,338 2,109 Heavy Heavy
Boeing 747-300[7] 377,840 260.32 3,222 1,905 Heavy Heavy
Boeing 747-400 396,900 295.742 3,018 2,179 Heavy Heavy
Boeing 747-400ER 412,770 295.742 3,090 Heavy Heavy
Boeing 757-200 116,000 89.9 2,347 1,555 Medium Large
Boeing 757-300 124,000 101.6 2,550 1,750 Medium Large
Boeing 767-300 159,000 136.078 2,713 1,676 Heavy Heavy
Boeing 767-300ER 187,000 136.08 2,713 1,676 Heavy Heavy
Boeing 767-400ER 204,000 158.758 3,414 Heavy Heavy
Boeing 777-200ER 297,550 213 3,380 1,550 Heavy Heavy
Boeing 777-200LR 347,450 223.168 3,000 Heavy Heavy
Boeing 777-300 299,370 237.683 3,380 Heavy Heavy
Boeing 777-300ER 351,800 251.29 3,100 Heavy Heavy
Boeing 777F 347,800 260.816 2,830 Heavy Heavy
Boeing 787-8[10] 228,000 172.365 3,300 1,695 Heavy Heavy
Boeing 787-9[10] 254,000 192.777 2,900 Heavy Heavy
Boeing 787-10[10] 254,000 201.849 Heavy Heavy
Bombardier CRJ200 23,000 21.319 1,918 1,479 Medium Large
Bombardier CRJ700 33,000 30.39 1,564 1,478 Medium Large
Bombardier CRJ900[21] 36,500 33.345 1,778 1,596 Medium Large
Bombardier Q400 28,000 28.01 1,219 1,295 Medium Large
Caravelle III 46,000 Medium Large
Cessna Citation CJ4[26] 7,761 7.103 1039 896 Medium Small
Concorde 185,000 111.1 3,440 2,220 Heavy Heavy
Convair 880 87,500 Medium Large
de Havilland Comet 1 50,000 Medium Large
de Havilland Comet 2 54,000 Medium Large
de Havilland Comet 3 68,000 Medium Large
de Havilland Comet 4 70,700 Medium Large
de Havilland Hercules 7,000 Medium Small
Douglas DC-4 33,000 Medium Large
Douglas DC-6 44,000 Medium Large
Douglas DC-6A 48,600 Medium Large
Douglas DC-6B 48,500 Medium Large
Douglas DC-7 55,000 Medium Large
Douglas DC-8-32 140,000 Heavy Heavy
Douglas DC-8-51 125,000 Medium Large
Douglas DC-8-61 147,000 Heavy Heavy
Embraer 120 Brasilia 11,500 11.25 1,560 1,380 Medium Small
Embraer 170[22] 36,000 32.8 1,644 1,274 Medium Large
Embraer 175[20] 37,500 32.8 2,244 1,304 Medium Large
Embraer 190[19] 48,000 43 2,056 1,323 Medium Large
Embraer ERJ 145 22,000 19.3 2,270 1,380 Medium Large
Embraer Phenom 100 4,800 4.43 975 741 Light Small
Embraer Phenom 300[25] 8,150 7.65 956 677 Medium Small
Fokker 100 46,000 39.95 1,621 1,350 Medium Large
Handley Page Hermes 39,000 Medium Large
Hawker Siddeley Trident 2E 65,000 Medium Large
Ilyushin IL-86 208,000 175 Heavy Heavy
Ilyushin IL-96-300 250,000 175 2,600 1,980 Heavy Heavy
Ilyushin Il-96M 270,000 195.04 3,115 2,118 Heavy Heavy
Learjet 75[23] 9,752 8.709 1,353 811 Medium Small
Lockheed C-5 Galaxy[4][5][6] 381,000 288.417 2,530 1,494 Heavy Heavy
Lockheed L-1011-200 211,400 Heavy Heavy
Lockheed L-1011-500 231,300 166.92 2,636 Heavy Heavy
McDonnell Douglas DC-10 256,280 183 2,990 1,890 Heavy Heavy
McDonnell Douglas MD-11 273,300 185 2,990 1,890 Heavy Heavy
McDonnell-Douglas MD-83 73,000 63.28 Medium Large
McDonnell-Douglas MD-90-30 71,000 64.41 2,165 1,520 Medium Large
Pilatus PC-24[24] 8,300 7.665 893 724 Medium Small
Saab 340 13,150 12.930 1,300 1,030 Medium Small
Saab 2000 22,800 21.5 1,300 Medium Large
Scaled Composites Model 351 Stratolaunch 589,670 3,660 Heavy Super
Tupolev Tu-154M 104,000 80 Medium Large
Tupolev Tu-204SM 104,000 87.5 2,250 Medium Large
Vickers VC10 152,000 151.9 Heavy Heavy
Vickers Viscount 800 30,400 Medium

Large

Helicopters

MTOW = Maximum take-off weight

Type MTOW [pounds] MTOW [kg] Power output [kW] Power to weight [W/kg] Rotor diameter [m]
Mil Mi-12[27] 231,485 105,000 19,200 182 2 x 35
Mil Mi-26[28] 123,459 56,000 17,000 343 1 x 32
Sikorsky CH-53K 88,000 39,916 16,200 405 1 x 24
Sikorsky CH-53E[29] 73,500 33,300 9,810 294 1 x 24
Boeing CH-47D/F Chinook[30] 50,000 22,680 7,058 311 2 x 18.3
AgustaWestland AW101[31] 34,392 14,600 4,698 321 1 x 18.59
Sikorsky S-92[32] 26,500 12,020 3,758 312 1 x 17.17
Eurocopter EC225 Super Puma 24,692 11,200 3,552 317 1 x 16.2
Boeing Vertol CH-46 Sea Knight[33] 24300 11,000 2,800 254 2 x 15.24
NHIndustries NH90 23,370 10,600 3,324 314 1 x 16.3
Eurocopter AS532 Cougar 19,840 9,000 2,370 263 1 x 15.6
Airbus Helicopters H160 13,340 6,050 1,910 316 1 x 13.4
Bell 412EP 1,1900 5,397 1,864 345 1 x 14.0
Eurocopter EC145 C-2 7,903 3,585 1,100 307 1 x 11.0
Eurocopter EC135 P2+/T2+ 6,415 2,910 944 325 1 x 10.2
Eurocopter EC635 P2 6,393 2,900 1,218 420 1 x 10.2
AeroVelo Atlas (human powered) 282 128 1.1 8.5 4 x 20.2

Convertiplanes

MTOW = Maximum take-off weight

Type MTOW [kg] Power output [kW] Power to weight [W/kg] Rotor diameter [m]
Bell Boeing V-22 Osprey 27,445 6,150 224 2 x 11.58
Bell-Agusta BA609 7,600 1,447 190 2 x 7.92
Bell XV-15 6,009 1,156 192 2 x 7.62

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2nd ans.

Ground Speed

For a reference point picked on the ground, the aircraft moves relative to the reference point at the ground speed. Ground speed is also a vector quantity so a comparison of the ground speed to the wind speed must be done according to rules for vector comparisons.

Airspeed

The important quantity in the generation of lift is the relative velocity between the object and the air, which is called the airspeed. Airspeed cannot be directly measured from a ground position, but must be computed from the ground speed and the wind speed. Airspeed is the vector difference between the ground speed and the wind speed.

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.

Examples

Suppose we had an airplane that could take off on a windless day at 100 mph (liftoff airspeed is 100 mph). We are at an airport with an east-west runway that is 1 mile long. The wind is blowing 20 mph towards the west and the airplane takes off going east. The wind is blowing towards the aircraft which we call a headwind. Since we have defined a positive velocity to be in the direction of the aircraft's motion, a headwind is a negative velocity. While the plane is sitting still on the runway, it has a ground speed of 0 and an airspeed of 20 mph:

Airspeed = Ground Speed (0) - Wind Speed (-20) = 20 mph

The airplane starts its take off roll and has a constant acceleration a. From Newton's second law of motion, the ground speed V at any time t is:

V = a * t

and the distance d down the runway at any time is:

d = 1/2 * a * t^2

For a fixed length runway, this specifies the time to be used in the velocity equation. Let's assume that at 5000 feet down the runway, the velocity is 80 mph. Then the airspeed is given by

Airspeed = Ground Speed (80) - Wind Speed (-20) = 100 mph

and the airplane begins to fly. Now another pilot, with exactly the same airplane decides to take off to the west. The wind is now in the same direction as the motion and this is called a tailwind. The sign on the wind speed is now positive, not negative as with the headwind. The acceleration along the ground is the same, so at 5000 feet down the runway, the ground speed is again 80 mph. The airspeed is then given by:

Airspeed = Ground Speed (80) - Wind Speed (20) = 60 mph

This airplane doesn't have enough airspeed to fly. It runs off the end of the runway!

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3rd ans.

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.

i) 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.

ii) There is a risk of injury to ground support personnel who may be in relatively close proximity to the aircraft.

iii) 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.

iv) 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.

v) 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.

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4th ans.

Pushback

Pushback is when an aircraft is pushed backwards away from the airport gate by vehicles called tugs or tractors. Closer to departure, an aircraft tug will park right in front of the nose wheel. The tug might be directly attached to the plane's nose gear with a tow bar, or could be a "wheel-lift" tug.

Pushback is when an aircraft is pushed backwards away from the airport gate by vehicles called tugs or tractors.

Closer to departure, an aircraft tug will park right in front of the nose wheel.

The tug might be directly attached to the plane’s nose gear with a tow bar, or could be a “wheel-lift” tug. These tugs cradle the nose gear, then lift it up before moving the plane. That gives the tug driver control over the plane’s direction during pushback.

New taxi technologies are appearing, like pilot-controlled tugs, and electric motors mounted to the plane’s landing gear. Both promise to save fuel, and reduce airport noise.

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5th ans.

The wheel dynamometer system used in the experiment consisted of a sensor, modified wheel and tire, wireless data transfer unit, and software. The sensor core was made of steel, and strain gages were used as sensing elements. The instrumentation amplifiers, which prepare the outgoing signals for data acquisition, were placed outside the sensor in a small box, together with a board of the microprocessor data analysis and transfer system. Figure 1 shows a schematic of the sensor, but without the electronics. This schematic also includes the orientation of forces and moments.
Figure 1. A schematic of the wheel sensor together with axes orientation and forces/moments system. The X, Y, and Z axes are mutually orthogonal.
As mentioned earlier, the sensor was designed based on the strain gage measurement technique. The sensing element was made of spring steel and linear type strain gages were glued onto it.
The in-wheel transducer measures two forces, FZ and FX, and two moments, MZ and MX. Due to the restricted space mentioned above, a braking moment sensor was made as a separate, external device. The MY moment was measured with the strain gages sealed on the brake jig, which is bending proportionally to braking moment. Figure 2 shows the complete sensor system, embedded in an aircraft wheel.
Figure 2. The complete wheel force sensor.
The wireless data transfer unit was built as a microprocessor system (see Figure 3), with an 8-channel A/D converter and a Bluetooth radio device to transfer measured data wirelessly.
Figure 3. The heart of the microprocessor data transfer system, used in the wheel sensor system.
The complete and detailed description of the wheel force sensor system is given in the reference by Pytka et al. [3].

2.2. Airplane Used in the Experiment

The PZL 104 Wilga 35 multipurpose airplane was used as a test aircraft. This is a light, four-place, multipurpose aircraft, powered by a 192 kW radial piston engine. The Wilga has a good reputation as a STOL (Short Takeoff and Landing) or even the so-called “bush-plane”, thanks to its landing gear. The aircraft has a tail-dragger-type landing gear and the main gears are rocker type with oleo-pneumatic shock absorbers. The landing gear wheels have low-pressure 500 × 200 mm tires with hydraulic brakes. The wheels are castored and have a positive rake angle of 18°; the axle offset is 400 mm. The airplane is 8.10 m in overall length, with a wingspan of 11.12 m, a wing area of 15.5 m2, and an empty mass, equipped, of 900 kg. In the landing tests, there were four persons on board and the take-off weight was 1150 kg. The test airplane is depicted in Figure 4.
Figure 4. The PZL 104 Wilga 35A, used for the tests.
The wheel force sensor was installed on the test aircraft before measurements. Installation did not require any modification to the airframe or landing gear, since the sensor system was developed specially for the given aircraft. Simply, leveling up the aircraft, removing the wheel with its axle, and placing the sensor. Also, the brake hydraulic system had to be re-switched to the sensor, since the FY wheel moment was measured by means of a transducer embedded in the wheel brake.
Another element of the measuring system was the electronic unit, which consisted of five differential signal amplifiers, each for one of the five channels (two forces and three moments), as well as of a microcontroller-based, wireless data transfer unit. The electronic box was mounted on the landing gear with glue tape and the sensor was connected with the electronics with signal cables. The whole system, the wheel sensor, and the electronics power supply (7.2V 800 mAh NiMH accumulator) was placed in the cockpit. Figure 5 and Figure 6 show the details of the test airplane with the installed measuring equipment.
Figure 5. The wheel force sensor installed on the test airplane, ready for the tests.
Figure 6. The electronics: Signal amplifiers and wireless data transfer system in the box, installed on the landing gear leg (a silver tape was used for quick installation).

2.3. Grassy Airfield Conditions

Measurements of wheel forces and moments were performed on a grassy surface of the Rzeszów Jasionka aerodrome, located in southeast Poland. The measurements were carried out in the area adjacent to the runway, with the surface and soil conditions identical to those on the grassy runway. The height of the grass was approximately 10 cm each time of the measurements.
The days in the autumn and spring months were selected, when there is a high probability of increasing humidity and lowering the traction properties of the grassland due to
Before the test runs, we also measured soil moisture using a handheld TDR moisture meter. TDR is an acronym for time-domain reflectometry, and this is a technique that utilizes the phenomenon of different electrical permeability of porous, three-phase media, such as soil. The TDR meter is very easy to use. Measurement requires simply inserting test electrodes into soil and the instrument quickly gives results, which are collected in Table 1. Figure 7 shows the test engineer performing soil moisture measurement on the grass field. See also the reference by Pytka et al. for more details on the use the TDR sensor in terramechanics studies [24].
Figure 7. Measurement of soil moisture with the use of a handheld time-domain reflectometry (TDR) sensor.

2.4. Field Procedures

Since the sensor system has not been certified for flight tests yet, we could only manage ground tests. In this study, it was aimed to determine wheel forces and moments acting on the aircraft’s wheel at low speed of taxiing over the grassy runway. We used an all-terrain vehicle (ATV) as a tractor vehicle and the aircraft was connected to this vehicle by means of cables. As mentioned earlier, four adult persons were in the test aircraft during all tests. An approximate speed of taxiing was 5 km/h. The aircraft performed the following maneuvers:
  • Accelerating from stop to the taxi speed;
  • Taxiing with a constant speed (about 20–30 m);
  • Turning left or right;
  • Braking to a full stop or to block the wheels.
We performed a minimum of five repetitions of all the maneuvers for every measurement time. Figure 8 shows a sample test run on the grassy surface.
Figure 8. Starting a test run. The test airplane is pulled by an all-terrain vehicle (ATV). The test engineer is walking by the test airplane, collecting data wirelessly. Four persons onboard the airplane.
The wireless data transfer system enabled that the test engineer could be anywhere, within a 100 m range of the airplane. Since the measurements were performed with all four passengers on board, the test engineer was in the airplane during measurements. We tried to collect data on a laptop computer, but it was more comfortable to gather the results on a handheld smartphone.

3. Results

Results obtained in the field experiments include courses of wheel forces and moments acting on the left wheel of the Wilga airplane, and we collected data from four days of measurements: 17 October, 5 November, and 5 December 2018, as well as 13 March 2019. The following is a presentation and analysis of the results obtained in the autumn–winter part of the measurements campaign (a so-called “dead season” in sport aviation) that was performed as a full-season measurement for the verification of the wheel–turf interaction model of the GARFIELD information system [1,2,23,24].

3.1. A General Presentation of the Results

Figure 9 shows time courses of the vertical FZ and horizontal FX forces that act on the landing gear wheel. The FZ shows almost constant values with low fluctuations, probably caused by vertical vibrations of the entire aircraft rolling over the grassy surface, and those values are close to the aircraft weight component on the wheel. The horizontal force FX exhibits negative values since the sensor has a defined orientation and a force of the direction backwards is indicated as negative. Moreover, the course of the horizontal force FX reveals effect of wheel function modes: Free rolling (the first second of the course), acceleration increasing of the force’s values (between 1 and approximately 4 s of the course), braking to a full stop (5–9 s), and, again, acceleration (from approximately 9 s of the course). The peak maximum value of the horizontal force FX reaches 2.7 kN, but the average value is much lower.
Figure 9. Sample result of the measurements: Time courses of wheel forces acting on the landing gear wheel.
Another sample result is shown in Figure 10, where we can see time courses of the three moments acting on the aircraft wheel. The character of these courses is very similar to those of Figure 9. These is a short period of free rolling, then acceleration, braking and stop, and finally acceleration again. The peak maximum values reach 150 Nm for the MZ moment, 280 Nm for the MX, and 250 for the MY moment. The values of the moments acting on the landing gear wheel changes their sign at a moment of a change between two function modes, for example, accelerating–braking.
Figure 10. Sample result of the measurements: Time courses of three moments acting on the landing gear wheel.
In the next sections, an analysis of the measured forces and moments is presented in order to determine coefficients that describe wheel–surface interactions, which are of importance for the analysis and modeling of airfield performance of an aircraft.

3.2. Rolling Resistance Coefficient

Rolling resistance is a property of the tire–surface system and depends on many factors. In automotive technology, rolling resistance is determined for a tire rolling on a drum test stand and its coefficient takes essentially constant values, on the order of 0.010–0.012. In the case of a tire interacting with a deformable surface, such as grassy surface, rolling resistance is difficult to determine, mainly due to the changing conditions of the surface, which was mentioned in the introduction. In addition, the values of the rolling resistance coefficient of the tire–grass surface system can vary by as much as an order of magnitude, taking into account, for example, changes in soil moisture. The presence of vegetation (grass, roots), as well as the size and mass of green parts of vegetation, are also significant.
The rolling resistance coefficient, kRR, is defined as the ratio of horizontal force during free turning to vertical force [25]:
kRR = FX/FZ
Figure 11 shows an example of horizontal force, FX, which is input data for calculations (upper graph) and the rolling resistance coefficient, kRR (lower graph), value determined using Equation (1). Average values are marked on the graphs (FX = 1719 N and kRR = 0.275). When determining the kRR coefficient, it is important to correctly select a portion of the FX force waveform. Namely, it is a fragment where the waveform is determined (in Figure 11, up, this fragment begins after the first second of the wave).
Figure 11. Sample courses of the measured horizontal force, FX, and calculated rolling resistance coefficient, kRR.
The exemplary value of the kRR coefficient was determined to be 0.275, which in comparison to the aforementioned value for a car tire on a paved road is almost 25 times [25]. This is the effect of a soft surface and a low-pressure aviation tire. The impact of weather conditions on the determined values of the kRR coefficient will be presented in the next section.

3.3. Braking Friction Coefficient

The braking friction coefficient μ is another important factor. It determines the course of the braking process and the landing distance of the aircraft. In the case of the tire–paved system (asphalt, concrete), the friction coefficient usually reaches values between 0.6–0.9. For unpaved surfaces such as grass turf, the friction coefficient is usually lower and may be 0.1–0.5. Factors affecting the μ value are grass length and humidity: The longer the grass and the more water it contains, the lower the friction coefficient. By definition, the friction coefficient is determined on the basis of the following relationship:
μ = MY/FZ × rd
where rd is the dynamic radius of the tire.
Figure 12 shows an example of the braking moment, MY, course and the braking friction coefficient determined. As it can be seen, μ values oscillate around 0.22.
Figure 12. Sample courses of the measured braking moment, MY, and braking friction coefficient, μ.

3.4. Aligning Moment

When driving on a curved track, the road wheel moves in such a way that the longitudinal axis of the wheel is deflected from the direction of the instantaneous speed vector by an angle, called the side slip angle. The reaction of a pneumatic tire to side slip is to generate a moment that tends to reduce this angle. This moment is called the stabilizing or aligning moment.
The sensor used in the tests directly measures the value of the aligning moment, it is the moment marked as MZ. Figure 13 shows the MZ course recorded during one of the turning maneuvers. The importance of the MZ moment is revealed during taxiing, especially at high speed. The higher the MZ value, the easier it is to maintain a straight direction, while too high a stabilizing moment can cause significant steering forces when cornering, especially when taxiing at low speed.
Figure 13. Sample course of the aligning moment, MZ.

3.5. Effect of Weather Condidtions

As already mentioned, the study was carried out over four day—in October, November, December, and March. The purpose of such a research program was to check to what extent the worsening deterioration of weather conditions, in terms of lowering the external temperature and increasing humidity of air and soil, affects the measured values of forces and moments, as well as the resulting coefficients. Based on the measurements carried out, mean values of repetitions (minimum of five repetitions for each day) of individual measurements were determined. A collection of final data in the form of bar charts is presented in Figure 14, Figure 15 and Figure 16, where average values of rolling resistance coefficient, kRR, friction coefficient, μ, and stabilizing moment, MZ, are shown for four days, representative for particular weather periods.
Figure 14. Average peak values of rolling resistance coefficient, kRR, for the four measurements.
Figure 15. Average peak values of braking friction coefficient, μ, for the four measurements.
Figure 16. Average peak values of aligning moment, MZ, for the four measurements.
The rolling resistance coefficient increases, and this is a significant increase. The explanation for that is quite obvious: In autumn, late autumn, winter, and early spring, there is a gradual increase in humidity of both air and soil, which causes increasing deformation of the surface and, as a result, an increase in rolling resistance. Although we did not construct any relationship between the rolling resistance coefficient and soil moisture (see Table 1), these parameters correspond well to each other.
The second term, braking friction coefficient shows an inverse relationship, i.e., it decreases during the period considered. In this case, the cause is similar, although the increasing humidity works slightly differently, namely, lower grip (=more slipperiness), especially in the case of grass-covered surfaces. A slight increase in the braking friction coefficient was observed for the measurement carried out in March. Perhaps the reason was a stronger solar operation, which dried the surface, especially grass.
The last of the parameters analyzed, the aligning moment, shows an interesting tendency (Figure 16). No significant impact of the weather period is observed during the months October–November, while a significant decrease in the MZ moment value in December was recorded. In March, the MZ value increased significantly compared to the December measurements.

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part B

6th ans

The force to move an airplane on an absolute flat runway with no wind at constant low speed is equal to the rolling resistance between the plane and the tarmac.

The rolling resistance for the air plane can be calculated as

Fr = c mr ag (1)

where

Fr = rolling resistance (N, lbf)

c = rolling resistance coefficient

mr = rolling mass (kg, lbm)

ag = acceleration of gravity (9.81 m/s2)

Example - Force required to pull an airplane at constant low speed on tarmac

If the mass of a plane is 40000 kg and the rolling coefficient between the aircraft wheel and the tarmac is 0.02 - the force required to overcome the rolling resistance can be calculated as

Fr = 0.02 (40000 kg) (9.81 m/s2)

= 7848 N

This force can be delivered by a pulling truck or - as occasionally seen - by a number of pulling people. Enough weight for the pullers are required to create friction forces against the tarmac that equals the plane rolling resistance.

The friction force for the puller can be calculated to

Ff = μ W

= μ mf ag (2)

where

Ff = frictional force (N, lb)

μ = friction coefficient

W = weight (N, lbf)

mf = friction mass (kg)

Example - Required Mass for Pulling Truck

The friction coefficient between a pulling truck rubber wheels and dry tarmac is 0.9. Since pulling trucks are connected to air crafts nose wheels close to tarmac we simplify the calculation of required truck mass to

mf = (7848 N) / (0.9 (9.81 m/s2))

= 889 kg

Example - Air Craft Pulled by People

When persons participates in aircraft pulling there is normally an offset between the rope connected to the air craft nose wheel and the tarmac. It is common for persons to bend over with the rope over the shoulder or holding it in the hands.

The horizontal friction force between the persons shoes and the tarmac must be equal or larger than the air plane rolling resistance. The minimum required vertical force - or minimum weight of the people - depends on the bending angle as illustrated in the vector diagram below.

If they bend over 45o - the vertical force or weight equals to the horizontal force. With rubber shoes and the same friction coefficient as above for the truck the weight of the people should be 889 kg. With an average weight of 80 kg/person - the number of persons can be calculated to

n = (889 kg) / (80 kg/person)

= 11.1

= 12

With a more realistic bending angle 60o - the minimum vertical force or weight can be calculated as

W = tan(60o) (7848 N)

= 13593 N

The minimum mass of people to achieve this weight can be calculated as

mf = W / ag

= (13593 N) / (9.81 m/s2)

= 1386 kg

With an average weight of 80 kg/person - the minimum number of persons can be calculated to

n = (1386 kg) (80 kg/person)

= 17.3

= 18

other way of assumption

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7th ans

Figure shows the Towing Vehicle Application

Assumation for Powertrain Design
Parameter Value
Aircraft Mass 180000Kg
Towing Vehicle Mass 50000 Kg
Rolling Resistance Co-efficient 0.01
Air Density 1.225 Kg/m^3
Towing Vehicle Drag Co-efficient 0.608
Aircraft Drag Co-efficient 0.15
Frontal Area 18 m^2
Inclination Angle 0 rad
Tyre Pressure 196 PSI/13.51 bar
Towing Velocity(V) 15 Km/hr = 4.166m/s
Towing Time(t) 2 min
Radius of the Towing Vehicle Wheel 0.4 m

Now from the above calculation we get the Total Force acting on the Vehicle as:

Total Traction Force(F) - 22685.039N

Power Required (P) - 94505.872 w = 95kw

Now, The Torque required by the vehicle to move is given by:

Torque(T) - Force(F)*Radius of the Wheel(R)

Therefore, T = 22685.039*0.4

= 9,0740.0156Nm

The Energy required by the vehicle for Towing application is given by:

Energy(E) = Power(P)*Towing Time

= 95*2/60

= 3.166kWh

For this application an electric motor which can be either a BLDC motor or an Induction Motor is choosen for the above power specs is given below:

Here in the above figure, the Peak Motor Output Power given in the Motor Parameters in the input to the Towing Vehicle:

So therefore, Input Power to the Towing Vehicle(kW) - 120

Output Power of the Towing Vehicle(kw) - 95kW

therefore Duty Cycle = Input Power to the Towing Vehicle(kW) / Output Power of the Towing Vehicle(kw)
= 95/120
= 0.791 = 79.1%
b ans.
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