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A Presentation on
Vehicle Performance
S Srinivasa RaoScientist ‘F’
CVRDE, Chennai1
Combat Vehicle & Research Development Establishment, Chennai- 600 054.
Content• Vehicle performance Parameters
• Vehicle Resistances (Passenger Vehicle)
• Adhesion Limit
• Tractive Effort Calculation
• Vehicle Performance Diagram
• Vehicle Acceleration
• Tractive Effort Diagram
• Various Vehicle Resistance (Tracked Vehicle)
• Vehicle Performance2
Combat Vehicle & Research Development Establishment, Chennai- 600 054
Vehicle performance Parameters
Maximum speed of vehicle
Gradient climbing
Acceleration
Steering
Terrain negotiation
Tilt negotiation
Braking
Reverse motion
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Vehicle Resistance (Passenger Vehicle)
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•ROLLING RESISTANCE
•ROAD SURFACE RESISTANCE
•SLIP RESISTANCE
where
Wheel Resistance (FR)Wheel Resistance (FR)
where,
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Coefficient of Rolling Resistance (fR)
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Dynamic wheel radius (rdyn)
Distance travelled per revolution by the wheel which is rolling without slip at 60 kmph.
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Gradient Resistance (FSt)Gradient Resistance (FSt)
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where,
Air Resistance (FL)Air Resistance (FL)
assuming zero wind velocity.
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Acceleration Resistance(Fa)Acceleration Resistance(Fa)
where,Rotational inertia coefficientVehicle massMass moment of inertia of rotating elements about driving axleAcceleration resistanceVehicle acceleration
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Total Tractive Resistance
Total Tractive Resistance
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Combat Vehicle & Research Development Est.
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1. Mass of vehicle = 1000 Kg
2. Good earth track (fr =.045)
3. Gradient = 30 degree
4. Air Density = 1.199 kg/m3
5. Drag Coefficient = 0.3
6. Projected area of vehicle = 2 m2
7. Rotational Inertia coefficient = 1.2
Assume no wind flow and acceleration.
Total Tractive Resistance = ??
Exercise:
Adhesion Limit
where, = Static coefficient of friction
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radius Wheel
ratioGear EfficiencyTorque Engine effort Tractive
ratioGear
speed Engine Speed Vehicle
Lock up mode
Torque Converter mode
ratioGear
ratio speed T.Cplot) matching T.C speed(From Engine Speed Vehicle
radius Wheel
T.C.RatioEfficiencyratioGear plot) ngT.C.Matchi mTorque(fro Engine effort Tractive
Tractive Effort Calculation
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Vehicle AccelerationAcceleration of the vehicle at various gears is calculated by finding the excess power/torque available after overcoming the tractive resistance.
For acceleration performance of the vehicle during movement on level surface:
where, = Excess traction
= Rotational inertia coefficient
= Vehicle mass
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Tractive Effort Diagram
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Vehicle Performance Diagram
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Vehicle Resistance (Tracked Vehicle)
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pyspcb KZCZKbR 25.02
21tan
2Cos
NK rPY
Where ,
C = Cohesion ,
W = Gross Vehicle Weight = 35000 Kgs
NC , Nr = Bearing Capacity factor of Dry Sand
= Angle of internal shear
K , KC = Modulus of Terrain Deformation
Z = Sinkage in terrain = Angle of internal shear
2)( CosTanNK Cpc
Bulldozing resistance is defined as the force required to push the (terrain) soil mass at a sinkage Z ahead of the track or wheels
Bulldozing ResistanceBulldozing Resistance
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1
n
ZKb
KbRn
CC
n
KbK
blW
Z C
1
2
Where ,
Rc = Compaction Resistance
W = Gross Vehicle weight
K , KC = Modulus of Terrain Deformation
Z = Sinkage in Terrain
n = Co-efficient of Terrain in Dry Sand
b = Track Width
l = length of track in contact with sand
Compaction resistance is the motion resistance encountered due to compaction of the bearing substrate material ie the soil in the vertical direction.
Compaction ResistanceCompaction Resistance
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)3222( VWRr FOR VEHICLES GVW > 20 TONS
)5.2133( VWRr FOR VEHICLES GVW < 20 TONS
W = Gross vehicle weight (Tons)
Rolling resistance is built up of hysteresis loss in deforming tyres or friction in tracks, loss in deforming the ground beneath the vehicle frictional losses in hubs and part of the drive train.
weight veicleGross
resistance Rolling resistance rolling fefficientoCo
(Newton) resistance Rolling rR(Kmph) speed VehicleV
Where,
Rolling ResistanceRolling Resistance
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TRACTIVE EFFORT DIAGRAM
0
50000
100000
150000
200000
250000
0 10 20 30 40 50 60 70 80
SPEED IN KMPH
TR
AC
TIV
E E
FOR
T IN
N
TORQUE CONVERTER MODE
35 DEG
30 DEG
20 DEG
10 DEG
5 DEG
ENGINE : GREAVES ENGINEMAX POWER : 550 HP @2300RPMMAX TORQUE :1938 NM@1650RPMFIRST GEAR : 4.385SECOND GEAR : 2.6885THIRD GEAR : 1.6310FOURTH GEAR : 1.0INPUT GEAR RATIO : 1.9090TORQUE CONVERTER RATIO : 2.0SPROCKET RADIUS : 0.31955 M
FIRST GEAR
SECOND GEAR THIRD GEAR FOURTH GEAR
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Vehicle PerformanceMaximum Speed:• Assuming vehicle moving on level surface with uniform speed• Intersection of traction resistance curve with traction available curve
Gradability:• Entire excess traction is used to negotiate the gradient
Acceleration:• Assuming vehicle moving on level surface
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Questions ??
Combat Vehicle & Research Development Establishment, Chennai- 600 054
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