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Part A 1.Search and list out the total weight of various types of aircrafts. Different Weights…
Praveen Kumar E S
updated on 21 Jan 2022
Part A
1.Search and list out the total weight of various types of aircrafts.
Different Weights or Masses. For each flight, the weight are taken into account for Several Reasons
Manufacturer's empty weight(MEW):
Zero-Fuel Weight(ZFW):
Operating empty weight(OEW):
Payload:
Maximum takeoff Weight(MTOW)
Regulated takeoff Weight(RTOW)
Maximum landing weight(MLW)
Maximum ramp weight(MRW)
Aircraft gross weight:
Let us list out the MTOW and MLW of few notable aircrafts:
Airbus A340-500 |
371,950 |
240 |
Airbus A340-600 |
367,400 |
256 |
Airbus A340-1000 |
308,000 |
233.5 |
Airbus A340-900 |
270,000 |
175 |
Airbus A220-300 |
59,000 |
20.80 |
Antonov An-225 |
640,000 | 591.7 |
Boeing727-200 | 78,000 | 68.1 |
Boeing 737-700 | 70,000 | 58.06 |
Boeing747-400 | 396,900 | 295.742 |
Concorde | 185,000 | 111.1 |
More such weight can be found from the below link:
https://en.wikipedia.org/wiki/List_of_airliners_by_maximum_takeoff_weight
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2. Is there any difference between ground speed and air speed?
Wind Speed:
The air moves relative to the reference point at the wind speed.It is a Vector quantity and has both a magnitude and a direction.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. Which occur perpendicular to the flight path but parallel to the ground and updrafts and downdrafts, which occur perpendicular to the ground.
Ground Speed:
AIR SPEED:
It is simply the speed at which an aircraft is moving relative to the air is flying. It is the Speed at which the air is flowing around the aircraft's wings. There are two types of Air Speed
The AirSpeed Indicated(ASI):
This is the speed that the aircraft’s “Airspeed Indicator” display and that the pilot uses as a critical reference in piloting the aircraft. It’s a measure of the speed of the airflow over the aircraft’s wings. For example, “Stall Speed” is an Indicated Airspeed reference.
It measures the speed of an airplane as it moves through the air.It was mentioned earlier that true airspeed (TAS) is the term used for the actual speed of the aircraft relative to the body of air in which it is flying. Unfortunately it is not possible to measure TAS easily. The nearest direct reading available to an aeroplane pilot is the parameter known as indicated air speed (IAS) which is measured by the ASI. The difference between TAS and IAS is caused by changes in air density. The ASI is a pressure-operated instrument. It senses the difference between the total pressure measured at a pitot static tube and the static pressure measured at a ‘static measuring point’, where there is no dynamic component due to air velocity. This principle, and the instrument display. The differential pressure reading is then transferred via a simple geared linkage to the single-pointer display.
True Air Speed(TAS):
TAS is Indicated Airspeed adjusted for altitude and non-standard temperature and is theoretically how fast the aircraft would be flying in a no wind condition.
The true airspeed of an aircraft is the speed for which aircraft relative to the air mass through which it is flying. The true airspeed gives important information on accurate navigation of an aircraft. Traditionally it is measured using an analogue TAS Indicator but as in the GPS has become available for civilian use, the importance of such analogue instruments had been decreased. Since indicated airspeed is a better indicator of power used and lift available, true airspeed is not used for controlling the aircraft during taxiing, takeoff, climb, descent, approach or landing; for these purposes the Indicated airspeed– IAS or KIAS (knots indicated airspeed) – is used. However, it indicated airspeed only shows true speed through the air at standard sea level pressure and temperature, a TAS meter is necessary for navigation purposes at cruising altitude in less dense air. The IAS meter reads very nearly the TAS at lower altitude and at lower speed. On jet airliners the TAS meter is usually hidden at speeds below 200 knots (370 km/h). Neither provides for accurate Speed over the ground, since the surface winds or winds aloft are not taken into account
Airspeed = Ground Speed - Wind Speed
Ground Speed:
For reference purpose:
https://www.grc.nasa.gov/www/k-12/airplane/Animation/airrel/anrelg.html
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3. Why is it not recommended to use aircraft engine power to move it on the ground at Airport?
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 these are pushback trucks in the airport. A pushback truck lifts the front wheel of the aircraft, their role is most airports is to move the aircraft away from the parking spot on to the taxiways, Which is called towing.
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4.How an aircraft is pushed to runway when its ready to take off?
Simply:
The below chart shows the take off
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5. Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.
Take off Power:
Tyre design:
Tyres of an aircraft is designed to withstand extremely heavy loads while landing and take off, taxing and parking. The number of wheels required for an aircraft is totally depends on the weight of the aircraft, the count of wheels increases with increases in weight
when it comes to safety, tyres are one of the most important components of aircraft, they help to absorb the shock during the time of landing and providing cushioning. It also provides necessary traction for braking and stopping of an aircraft.An aircraft tyre is constructed for the purpose it serves.
However, an aircraft tyre absorbs the high impact loads of landing, and also it is operating at high speeds for a short time when required.
Some technical aspects of the tyre.
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.
Tyre Pressure:
Rolling Resistance:
Brake force while landing:
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Part-B
6. A. With necessary assumptions, calculate the force and power required to push / pull an aircraft by a towing vehicle.
THEORY:
MASS:
Mass is a measure of the amount of matter in an object. Mass is usually measured in grams(g) or Kilograms(Kg).
Mass measures the quantity of matter regardless of both its location in the universe and the gravitational force applied to it. An object's mass is constant in all circumstances; Contrast this with its weight, a force that depends on gravity.
ROLLING RESISTANCE FORCE:
Rolling resistance, sometimes called rolling friction or rolling drag, is the force resisting the motion When a body (such as a ball, tire or wheel) rolls on a surface. It is mainly causec by non elastic effects; that is, not all the energy needed for deformation (or movement) of the wheel, roadbed etc.
An formula for rolling resistance force are given below.
Frr = μrr * m* g
Where
μ -varies with speed
m-Total mass
g- gravity
AERODYNAMIC DRAG FORCE:
The force on an object that resists its motion through a fluid is called drag. When the fluid is a gas like air, it is called aerodynamic drag or air resistance.
Fad =1/2* Cd * A * ρ * V2
Where
Cd- Drag Coefficient
A - Frontal area m^2
V - Velocity m/s
ρ - Air density kg/m^3
DRAG COEFFICIENT FORCE:
Any object moving through a fluid experiences drag-the net force in the direction of flow due to pressure and shear stress forces on the surface of the object.
The drag force can be expressed as
Fd =1/2* Cd * A * ρ * V2
Where
Cd- Drag Coefficient
Fd - Drag force(N)
A -Characteristic frontal area of the body (m2)
V - Flow Velocity (m/s)
ρ - density of fluid (1.2 kg/m3 for air at NTP)
The drag coefficient is a function of several parameters like shape of the body. Reynolds number for the flow, Froude number, Mach number and Roughness of the Surface.
TOTAL TRACTIVE FORCE:
The term tractive effort is often used synonymously with tractive force to describe the pulling or pushing capability of a locomotive. In automotive engineering, the terms are distinctive tractive effort is generally higher than tractive force by the amount of Rolling resistance present and both terms are higher than the amount of drawbar full by the total resistance present(including air resistance and grade).
Fte = T*G/R
Where
T= Motor Torque
G =Gear ratio
r= Tire radius
So total
Tte = Frr + Fad
POWER:
Power is a rate at which work is done or energy is used. It is equal to the amount of work done divided by the time it takes to do the work. The unit of power is the Watt(W), Which is equal to a Joule per second (J/s).
Total Power = Total force * Speed
FORMULA USED:
Frr = μrr * m* g
Fad =1/2* Cd * A * ρ * V2
Tte = Frr + Fad
The below chart tells the basic information of Airbus A350-1000. From this information We need to calculate force and power required to push / pull an aircraft by a towing vehicle.
Let the
mass of the aircraft (M1)=5,90,000Kg
Rolling Resistance Coefficient of an aircraft tire (µrr)=0.004
The Mass of the towing Vehicle (M2) = 50,000 Kg
Rolling Resistance Coefficient of an aircraft tire (µrr)=0.001
Rolling Resistance:
Rolling Resistance Force on towing Vehicle =µrr* M2*g
=0.001*5000*9.81
=49.05N
It is very less as compared to aircraft
Rolling Resistance Force on aircraft=µrr* M1*g
=0.004*590000*9.81
=23151N
Total Rolling Resistane Force =Rolling Resistance Force on towing Vehicle+Rolling Resistance Force on aircraft
=49.05+23151
=23200N
Total Rolling Resistane Force = 23.2KN
Air Drag Force:
Calculation:
The Velocity of the Aircraft while Towing= 25Kmph = 6.94m/s.
Density of Air medium (ϼ)=1.225
The Frontal area of the Aircraft = 20m2
The Coefficient of Drag of the Aircraft = 0.026
Air drag force =0.5*ϼ*A*v^2*Cd
=15.34N
The Air drag force of the Aircraft ==0.0153KN
As the Vehicle movea at very low speed Aerodynamic resistance can be neglected and hill climbing resistance too because runway is flat .
Therefore the
total force that the motor needs to overcome=Rolling Resistance of the aircraft+Drag Force Acting on the Aircraft
Total forces Acting = 23.2+0.0153
Total Force that the Motor needs to Overcome in order to Push/Pull the Aircraft = 23.215KN
Power Required:
The Power Required by the Motor is given by the Velocity with Which the Towing Operation takes place.
The average speed of Push/Pull = 20Kmph = 5.5m/s
Power required by the motor= Total Force* Velocity = 23.63*5.5
Power Required by the motor=127.7Kw
Torque output of the towing Aircraft can also be calculated by the below steps:
Fte=T.G/r
where
Fte=Total Tractive Force(Rolling resistance Force + Air drag Force)
T=Torque Output
r=Radius of Tire
G=Gear Ratio
For Heavy Duty Towing we Assume,
G =11 (for delivering high torque)
r =25inches=0.635m
T=Fte.r/G=(23200*0.635)/11
Torque required to Push/Pull for the above stated condition = 1.339 KNm
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B.Develop the model for the calculated force and power using Simulink.
Simulink Model:
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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.
Solution:
Battery Pack:
It is a set of any number of identical batteries or individual battery cells. There may be configured in a series, parallel or a mixture of both to deliver the desired voltage capacity or power density. It gives DC output.
DC-AC Converter:
DC supply from the battery is converted to AC and is given to motor. Power transfer is managed by Powertrain Electronic Control Unit.
Electric Motor:
Converts Electrical to Mechanical Energy. Regeneration can be obtained to save Power in many EV's.
On board Charger:
Converts AC received through charge Port to DC and controls the amount of current into battery Pack.
Block Diagram:
EV POWERTRAIN:
Motor design:
for designing the EV Powertrain this are the input are to be considered
Motor is DC motor type
Rated Power= 40Kw
Speed =1400RPM
Rated torque=90 N-m
Efficiency = 90%
Power Rating:
Rated Power is 40Kw .
Lets the Input Voltage is 800
Input current is 50
Power Input is V*I
P=800*50
P=40Kw
Energy Requirement
Energy reqired for an EV similar to Towing Vehicle Push/Pull the aircraft is Calculated on basis of time
Energy = Power*Time Taken by towing Vehicle to Push/Pull the aircraft
Power=40Kw ----Time is 8 min
Energy=40*8*60
Energy=19200KJ
Duty Cycle:
Duty Cycle of Powertrain is calculated by Output Power by the Input Power
Duty cycle = Output Power/Input Power
Duty cycle =36Kw/40Kw
Duty cycle = 0.9=90%
Table
Airbus A380-800F
Power generating Source:
Motor | DC motor |
Rated Power | 40Kw |
Speed | 1400 rpm |
Efficiency | 90% |
Rated torque | 90 N-m |
Towing machine Specification that is shown in excel sheet that has been attached below
Entire System:
In the above system the Airbus is connected to the towing machine .The forward movement of an aircraft, usually with engines off, using the power of a specialised ground vehicle attached to or supporting the nose landing gear. It may occur for the movement of both in service and out of service aircraft. This will affect the promulgation of procedures and the required qualification for those occupying the flight crew seats on the aircraft during the manoeuvre. and also the engine gets supply from the Four quadrant chopper.
Power generating Source:
Before starting the simulation, set the initial bus voltage
Battery:
The below chart it gives the information about the Current,Voltage and SOC . The battery information is given below
Towing System:
Three-Axle Tractor Towing a Three-Axle Trailer
To steer and drive the tractor, the three-axle tractor subsystem uses a sinusoidal wave steering input and an axle torque applied to the rear wheels. The subsystem includes models for the wheels, suspension, and vehicle body.
The three-axle trailer subsystem includes models for the wheels, suspension, and the trailer body.
When you select the three DOF model variant, the hitch model allows relative longitudinal, lateral, and yaw motion between the tractor and trailer. To limit the longitudinal and lateral motion, the hitch model implements a stiff translational spring-damper in the xy plane of the vehicle-fixed reference frame. The resulting spring-damper forces approximately limits the relative motion between the tractor and trailer to yaw rotation about a vertical axis at the hitch connection point. The hitch model transfers the vertical hitch force from the trailer to the tractor.
When you select the six DOF model variant, the hitch model allows relative longitudinal, lateral, vertical, and yaw motion between the tractor and trailer. The hitch model implements another translational spring-damper along the z-axis of the vehicle-fixed reference frame. The effects of hitch moments due to the relative rotations of the hitches are considered negligible.
Spring forces are linear functions of the planar distance from the tractor hitch location to the first trailer front hitch location in the inertial reference frame.
Damper forces are linear functions of the planar velocity from the tractor hitch location to the first trailer front hitch location in the inertial reference frame.
How the two system connected:
From the above point it is clearly shows that how this sysyem works,
This is 2D animation of aircraft towing Machine
Within the particular duration towing machine has travel a particular distance
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B. Also, Design the parameters in excel sheet
Attachment of excel is given below
Push / pull an aircraft by a towing vehicle:(6 question)
Aircraft towing application :(7 question)
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