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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1928
Design and Analysis of Automotive Disc Brake using FEM
Sanket Darekar1, Ajinkya Dhage2, Nimish Ghumatkar3, Shivam Gosavi4, Prof. S.M. Alage5
1,2,3,4 Department of Mechanical Engineering, Sinhgad College of Engineering, Maharashtra, India.
5 Professor, Department of Mechanical Engineering, Sinhgad College of Engineering, Maharashtra, India.
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - The aim of this project is to design and analyze
the automotive disc brake of Bajaj Pulsar 220F. Disc brakes
are subjected to very high contact pressure and intensive
heating of friction surface. The effectiveness of braking
system depends on friction coefficient, stability during
braking and wear of friction material. Heat dissipation is
important parameter in braking which affects the life of the
brake disc. In this work 3D models of disc brakes of Bajaj
Pulsar 220F having same diameter with different shape and
pattern of holes are prepared in CATIA software. The
objective of this work is to investigate and analyze the
temperature distribution of rotor disc during braking
operation using ANSYS Workbench. Application of specified
braking torque leads to generation of heat flux. The heatflux
generated and heat transfer coefficient taken into
consideration are numericallyanalyzed,whicharethenused
to calculate the rotor rigidity, maximum temperature rises
on the brake disc. The work uses the finite element analysis
techniques to predict the temperature distribution on discs.
The static and thermal analysis under different boundary
conditions is performed on the disc brake using ANSYS
software. The maximum temperature observedandstresses
developed in the different types of disc brake models are
compared. The influence of variation of shapes and patterns
of holes on heat dissipation of brake disc is studied and the
optimized disc model is selected based on the analysis
results.
Key Words: Surface Friction, Friction Coefficient, Heat
Dissipation, Heat Flux, Heat Transfer Coefficient,
Temperature Distribution, Static and Thermal Analysis.
1. INTRODUCTION
The brake is mechanical device that retards and stop the
motion of vehicle. Brake absorbs kinetic energy of the
wheels and the energy is dissipated in the form of heat
energy to the surrounding atmosphere. Generally, in
automobile industry drumbrakesanddisc brakesarewidely
used. Disc brakes are more reliable than drum brakes. Disc
brake system consists of brake caliper, friction pads and
rotor. Disc brakes are subjected to very high contact
pressure and intensive heating of friction surface.
The degree of reliability of the braking action is directly
proportional to the firmness of the entire braking system.
The parameters which mainly affectsbrakeperformance are
friction coefficient, stability during braking and wear of
friction material. Ideally, during braking, the heat generated
should be quickly distributed to surrounding to avoid the
reduction of coefficient of friction between disc brake and
brake pad. The high temperature at the contact surface may
cause the brake fluid to vaporize due to overheating.
The heat from contact may also cause thermoelastic
deformation which will vary the coefficient of friction at
brake pad surface. This may change the contact pressure
distribution at the contact surface. This may create a local
high temperature gradient at the contact surface called hot
spot. The localized hot spot will cause high local stress that
lead to material degradation and failure. Thermal
deformation can also initiate major problems such as
variation of coefficient of friction of the brake pad, brake
fade and vapor lock. If there is inconsistent dissipation of
heat, there is intensive heating of brake disc, which causes
deformation of the material which leads to failure of disc.
2. LITERATURE REVIEW
Aleskander Yevtushkendo, Michal Kuciej [1] studied a
two-element model of braking process for a tribosystem
consisting of the pad (the strip) sliding with the time-
dependent velocity (braking at uniform retardation) on a
surface of the disc (the semi-space). The dependences of
temperature and thermal stresses on the boundary
conditions on upper surface of the ceramic–metal strip was.
Analysis investigated of the evolution of thermal stresses in
the frictional elements during braking proves that when it is
heated considerablenormal compressivestressesoccurnear
the contact surface.
The value of this stresses decreases with an increase of time
and after some time, moment tc the sign changes – which
means that the tensile stresses take place. The time when it
happens increases monotonously with increase of a time
braking ts. On the basis of achieved numerical data it is
established, that the possible initiation of the superficial
crack during braking can be described as the series of the
following phases:
 Due to local intensive frictional heating near a
contact surface
the field of compressive stresses is formed;
 after the beginning of braking in the sometime
moment tc the tensile normal stresses occur near
the subsurface region; and
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1929
 when these stresses exceed the tensile strength of
the material, the initiation of the surface cracks is
possible.
M.Boniardi, F.D.Errico, C.Tagliabue, G.Gotti,G.Perricone
[2] had done research on factors affecting the life of the
brake disc and effect of choosing different kind of steel,
characterized by greater resistance to the temperature
process. In their paper 'Failure Analysis of motorcycle disc
brake' they had done various analysis, at first visual and
chemical analysis were done which were followed by
hardness test, fractographic analysisandtestofresistanceto
tempering for finding the impact ofvariousfactorsonthelife
of brake disc also the same tests are followed for the
different steel material and all results were analyzed.
It is found that the life of brake disc depends upon
geometrical factors such aspositionofholes, shapeofspokes
etc. as well as other factors such as chemical composition of
steel, microstructure also affects the life of the brake disc.
Deepak S. Hugar, Prof. U.B.kadabadi [3] haddone“Design
and Thermal analysis of disc brake for minimizing
temperature” and studied analysis of different shapesofslot
of different vehicle Disc rotor brake.Theyoptimizednumber
of shapes of slot to estimate good thermal conductivity of
disc brake rotor. They had done thermal analysis on real
model of disc brake rotor of Bajaj Pulsar. Modelling was
done using CATIA V5 R21 software and static and transient
thermal analysis was done using ANSYS 15 software.
Their study provided a useful designandhelptoimprovethe
brake performance of disc brake system. Minimum
temperature distribution obtained in modified disc as
compared to actual standard disc. They found that new disc
is also safe based on strength and rigidity criterion.
W. M. Zurin W. S., R. J. Talib, and N. I. Ismail [4] in this
paper, solid and ventilated type of motorcycle disc brakeare
being analyzedusingComputational FluidDynamicsoftware.
The main focus of the analysis isthethermal behaviorduring
braking for solid and ventilated disc brake. They discussed
the comparison between both geometries to determine the
better braking performance in term of temperature
distribution. The knowledge gained from the project is to be
able to understand the relationship between the brake disc
geometry and braking performance in term of thermal
dissipation. This knowledge can be used in future as
reference for similar research and development. Solid disc
brake is a flat surface geometry without having any notched
or grooves at the disc. It had more contact surface area
during braking compared with ventilated disc brake.
However, it tends to have more localized thermo-elastic
instability on the contact areas. This phenomenon may lead
to brake fade and pad glazing problem because they do not
have appropriate ventilated hole which can helptodissipate
the braking frictional heat to surrounding. Thermal analysis
of the disc brake is done by using ANSYS.
Daanvir Karan Dhir [5] studied the rise in temperature of
an automotive disc brake at the time of braking and its effect
on disc durability using finite element method. The heat flux
generated and the heat transfer coefficient taken into
consideration were numerically analyzed, which were then
used to calculate the rotor rigidity, maximum temperature
rises on the disc rotor. The rotor was further loaded with
thermo-mechanical cyclic stresses which were used to
analyze the durability and fatigue factor of safetyofdisc.The
influence of variations in disc rotor geometry i.e. holes and
airfoil vents in comparison to a simple flange type disc were
studied and their effect on maximum temperature rise and
disc durability has been investigated by modeling and
conducting FEM techniques in Solid works and ANSYS
respectively.
Abdulwahab A. Alnaqi, David C. Barton, Peter C. Brooks
[6] proposed a scaling methodology to evaluate the thermal
performance of a disc brake at a reduced scale. The resulting
small-scale disc brake has the advantage of low cost and
reduced development time. The proposed scaling
methodology was validated by comparing the results forthe
full- and small-scale discs using a conventional brake
dynamometer. In addition, a two-dimensional axisymmetric
transient thermal finite element model was developedusing
Abaqus software to assist in the validation of the scaling
methodology. The numerical simulations confirmed the
equivalence between the full and small-scale disc thermal
performance using the proposed scaling methodology and
also gave good agreement with the experimental results
3. CASE STUDY
Case study is done on the work of mBAJA team’s brake disc
of Sinhgad College of Engineering [10]. This studydealswith
the structural analysis of rotor disc of disc brake of mBAJA
ATV through finite element analysis approach using ANSYS
software. A disc brake is a device by meansofwhichartificial
frictional resistance is applied to the rotating member, in
order to stop the motion of a machine or a vehicle. The
objective of structural analysis of rotor disc is to study &
evaluate the performance under severe conditions & to
suggest best combination of parameters of rotor disc like
disc geometry, Wall Thickness & Material composition. In
this study, an attempt has been madetoinvestigatetheeffect
of stiffness & strength and to analyze the stability & rigidity
of the rotor disc. The modelling of rotordiscisdoneinCATIA
software. Further structural analysis and thermal analysisis
done by using ANSYS.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1930
3.1 Rotor disc
Fig -1: Model of brake disc
The static structural analysis is performed on brake disc by
considering the boundary conditions which are torque
applied on the disc and the mounting pointsofthebrakedisc
are fixed and the stress and the deformation are evaluated.
The thermal analysis is performed on brake disc by
considering the boundary conditions which are heat flux
applied on the disc and convection through the disc and
temperature is evaluated.
Fig -2: Boundary conditions for thermal analysis
Fig.-3: Boundary conditions for structural analysis
3.2 Results
Fig -4: Stress distribution of the brake disc model
Fig -5: Temperature distribution of the brake disc model
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1931
Fig -6: Total deformation of the brake disc model
3.3 Conclusion
The braking system is the backbone of an ATV, determining
the best parameters several analyses is donebyusingAnsys.
The structural analysisisdonetodeterminethe strength and
sturdiness of the disc, along with-it deformation, stress,
strain, displacement and factor of safety is analyzed to
provide the best suitable disc qualityforbetterperformance.
Heat flux is applied on disc during thermal analysis to
determine the heat dissipation. The single stop temperature
analysis provides to understand the instant temperature
occurred in disc. The brake disc is suitable for efficient
performance of BAJA ATV. Thedisc isenoughsturdyand safe
for high-duty performance and the master cylinder, rotor
positions provides all 4 wheels locking simultaneously,
within minimum stopping distance.
Hence, the same procedure can be used in design and
analysis of automotive brake disc in our project work.
4. CALCULATIONS
Brake systems are designed for maximum speed to ensure
maximum safety, Bajaj Pulsar 220F has maximum speed of
134 kmph. The constraints for Thermal Analysis and
Structural Analysis are calculated by assumingthattherider
is driving the vehicle at maximum speed and suddenly
applying brakes to retard and stop the motion of the vehicle.
While calculating for the constraints, several assumptions
are considered are as follows [4]:
 All kinetic energy at disc brake rotor surface is
converted into frictional heat or heat flux.
 The heat transfer involved in this analysis takes
place only by conduction and convection. Heat
transfer by radiation can be neglected as it is
negligible
 The disc material is considered as homogeneous
and isotropic.
 The domain is considered as axisymmetric.
 Inertia and body force effects are negligible during
the analysis.
 The disc is stress free before the brake application.
 In this analysis, the ambient temperatureandinitial
temperature is set to 22 ºC.
 All other possible disc brake loads are neglected.
 Only certain parts of disc brake rotor experience
convection heat transfer such as the cooling vanes
area, the outer ring diameter area and the disc
brake surface.
 Uniform pressure distribution generated by the
brake pad onto the disc brake surface isconsidered.
Numerical Method
Disc brake model: Bajaj Pulsar 220F
Material: Stainless Steel (SS410)
Outer Diameter: 260 mm
Inner Diameter: 130 mm
Mean Diameter: 195 mm
Nomenclatures
q0 Average braking power in Watt
t Stopping time
A1 Piston area of brake calliper
Coefficient of friction between brake pad and calliper
Pmax Maximum pressure in calliper
u Top speed of vehicle
a Vehicle deceleration
w weight of the vehicle
D outer diameter of disc
d inner diameter of disc
Disc Thickness: 5 mm
Effective rotor radius: 97.5 mm
Top Speed: 134 Kmph=37.22 m/s [13]
Kerb Weight = 155 kg [13]
Assuming weight of passengers=160 Kg … (for safety)
Piston area of brake caliper =A1 = 2000× 10-6 m2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1932
For vehicle safety purpose deceleration is 21 ft/s = 6.4
m/s2 [2]
Deceleration = 21 ft/s = 6.4 m/s2
Stopping Time= = = 5.81 𝑠
The average braking power applied on all wheels is
given by,
Average braking power = qo =
= = 37517.76 W
Average braking power applied on each wheel of front
side,
qo = = 11255.33 W
The dynamic weight transfer during braking on front
and rear axle is 60:40 percent of total vehicle weight
respectively [1].
Hence,
Weight distribution on front wheels=0.60
Since only one side of brake disc is considered=0.50
Swept area of rotor =
=0.0198 m2
Convective heat transfer coefficient = 200 w/m2
[11]
Tangential force between pad and rotor=
A1= 500N
5. DESIGN AND ANALYSIS
In this chapter 3D solid models of brake disc with
different shape of holes and patterns are developed in
Heat Flux = = = 97837.24 w/m2
Braking Torque=500× 0.195 = 48.75Nm
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1933
5.1 Modeling in CATIA
Disc structure significantly defines the air flow
characteristics, different types of disc rotors with different
shapes and patterns of holes are developed in CATIA
software, for better heat dissipation. Fig.7 is the CATIA
model of actual disc which is to be modified. Five different
CATIA models are produced by variation of geometry of
holes, Shape of slots and pattern of the holes
Fig -7: Actual Disc model
ACKNOWLEDGEMENT (Optional)
The authors can acknowledge any person/authoritiesinthis
section. This is not mandatory.
Fig -8: Disc model 1
Fig -9: Disc model 2
Fig -10: Disc model 3
Fig -11: Disc model 4
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1934
Fig -12: Disc model 5
Fig -13: Meshing of the brake disc
5.3 Loading and boundary conditions
value is very less as compared to heat flux value, thus it is
neglected.
Fig -14: Boundary conditions for thermal analysis
For structural analysis, temperature and corresponding
stress in disc brake vary under freeway driving conditions.
For analysis the initial and boundary conditions are
introduced in structural module of ANSYS. The calculated
torque is 48.75Nm and the fixed support constraint is
applied on disc model.
Fig -15: Boundary conditions for structural analysis
5.4 Thermal analysis
Understanding the thermal performance of automotive disc
brake is the factor in developing a scaling methodology that
replicates the real-world conditions. In this section thermal
analysis of disc brake is presented, in order to understand
the temperature distribution over the brake disc. The heat
flux generated by the friction between the pad and disc is
required.
The following assumptions apply:
 The kinetic energy of the vehicle is converted to
thermal energy due to friction at the sliding surface
without any energy loss during the braking event
[4].
For thermal analysis, the temperature distribution depends
upon the heat flux entering the disc through bothsidesofthe
disc and wall heat transfer coefficient. Foranalysistheinitial
and boundary conditions are introduced in the thermal
module of ANSYS.
For thermal analysis of brake disc, due to friction between
brake calliper and brake pad the heat is generated and due
to this heat flux is applied on model of brakedisc preparedin
ANSYS. The value of heat flux calculated for the maximum
speed is 97837 W/m2, andtheambienttemperatureis220C.
These constraints are used for thermal analysisofbrakedisc
model. Also, heat loss due to radiation takes places but the
5.2 Meshing of the disc
Meshing is important to simulate the boundary technique of
problem. Mesh quality has great influence on the results.
Mesh size decides the numerical convergence of solution. If
the mesh size is poor then it will not give properresults.Fine
mesh gives numerical convergence with accurate results.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1935
 The heat flux generated by friction at the interface
between the pad and disc is transferredtothebrake
pads and the disc according to their respective
thermal properties [5].
 All brake parts are in steady state condition before
braking commences.
The steady-state thermal analysis is used to determine
temperatures, thermal gradients, heat flow rates, and heat
fluxes in an object that are caused by thermal loads that do
not vary over time.Asteady-statethermal analysiscalculates
the effects of steady thermal loads on a system or
component. The temperature distribution resultsinthermal
stresses that can cause the failure [2]. In such cases
temperature from the transient thermal analysisforthermal
stress is evaluated.
Steady-state thermal analysis is performed on all discs by
applying temperature constraints. The heat flux of 97837
W/mm2 is applied on circular cross-section of the disc in
contact with the piston cylinder and the ambient
temperature is taken as 295K.
Fig -16: Temperature of actual brake disc model
Fig -17: Temperature of the brake disc model 1
Fig -18: Temperature of the brake disc model 2
Fig -19: Temperature of the brake disc model 3
Fig -20: Temperature of the brake disc model 4
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1936
Fig -21: Temperature of the brake disc model 5
5.5 Structural analysis
Static structure analysis is the most common application in
FEM. Structural loads on brake disc, geometry of brake disc,
support conditions and material properties of brakediscare
determined to perform accurate structural analysis. Static
analysis determines the displacement, stress, strain,force in
structure or component caused by loads that do not induce
inertia and damping effects.Thisprojectdealswiththestudy
of stress, deformation on different brake disc models under
static condition. After completion of finite element model, it
must constrain and load must be applied to the model.
Torque of 48.75Nm is applied on the swept area of brake
disc and the bolt holes are fixed.
Fig -22: Stress distribution of the actual brake disc model
Fig -23: Stress distribution of the brake disc model 1
Thermal analysis is performed on different brake disc
models and the temperature distribution is studied for
different disc models. The actual brake disc of Bajaj Pulsar
220F has a smaller number of holes and the maximum
temperature rise is observed in actual brake disc model and
it was 303.56˚C. In brake disc model 1 the holes were
changed to elliptical shape and the cut-outs were given on
the outer diameter of brake disc to increase the area
available for heat dissipation thus the maximum
temperature in brake disc model 2 was 264.02˚C. In brake
disc model 2 the combination of rounded rectangular holes
and circular holes were designed. The maximum
temperature observed in the brake disc model 2 was
276.37˚C. In brake disc model 3all holeswereoftherounded
rectangular shape and the maximum temperature observed
in this disc is 275.66˚C.
In brake disc model 4 linear slots were provided along with
the circular shaped holes. The area available for heat
dissipation in brake disc model 4 was more as compared to
other disc models and the maximum temperature observed
in the brake disc model 4 was 262.15˚C. In brake disc model
5 dumbbell shaped holes were provided along with linear
slots and circular shaped holes. The maximum temperature
observed in this disc was 254.22˚C whichislowestamong all
other models and hence it is the best brake disc model
among all other models.
The maximum attained temperatureintheotherdiscmodels
is less than the actual disc due to better cooling and heat
dissipating characteristics. Disc 1,2,3,4 and 5 have a greater
number of drilled holes and circularholeswhichincrease the
contact surface area of the disc with the air, thus increasing
the rate of heat dissipation through convection.Disc model 5
shows lowest maximum temperature among all other
models.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
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Fig -24: Stress distribution of the brake disc model 2
Fig -25: Stress distribution of the brake disc model 3
Fig -26: Stress distribution of the brake disc model 4
Fig -27: Stress distribution of the brake disc model 5
The actual brake disc of Bajaj pulsar 220Fhaslessnumber of
holes. The maximum stress observed in actual brake disc is
23.67 MPa which is least among all other disc models. As the
shape of holes is changed and a greater number of holes are
provided area of the brake disc decreases and the maximum
stress increases. Maximum stress observed in brake disc
model 1 is 53.23MPa.
Maximum stress observed in brake disc model 2 is 57.79
MPa. In Brake disc model 3 the maximum stress observed is
54.10 MPa. Maximum stress observed in brake disc model 4
is 42.16 MPa. Brake disc model 5 has a greater number of
holes and more pattern of holes. Disc 5 shows highest value
of stress of 91.66 MPa among othermodels.Asthemaximum
allowable stress for stainless steel (SS410) is 510 MPa. The
modified brake disc model 5 is safe.
Fig -28: Total deformation of the actual brake disc model
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1938
Fig -29: Total deformation of the brake disc model 1
Fig -30: Total deformation of the brake disc model 2
Fig -31: Total deformation of the brake disc model 3
Fig -32: Total deformation of the brake disc model 4
Fig -33: Total deformation of the brake disc model 5
Deformation refers to any changes in the shape or size of an
object due to:
 An applied force (the deformation energy in this
case is transferred through work) or
 A change in temperature(thedeformation energyin
this case is transferred through heat).
As deformation occurs, internal inter-molecular forces arise
that oppose the applied force. If the applied force is not too
great, these forces may be sufficient to completely resist the
applied force and allow the object to assume a new
equilibrium state and to return to its original state when the
load is removed. A larger applied force may lead to a
permanent deformation of the objectoreventoits structural
failure.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
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The maximum deformation in actual brake disc is
0.00624mm. The loss in rigidity of rotor accounts for
increased deformation is due to material removal. The
maximum deformation observed in brake disc model 1,
model 2, model 3, model 4 and model 5 are 0.01948mm,
0.00651mm, 0.00665mm, 0.00604mm and 0.00611mm
respectively.
Chart -1: Temperature variation in different disc models
Chart -2: Stress variation in different disc models
Chart -3: Total deformation variation in different disc
models
5.6 Optimization and Selection of final model
The variability in disc geometry plays very significantrole in
cooling of the disc in braking performance. The maximum
temperature observed and stresses developed in the
different types of disc brake models are compared. Actual
disc shows highest maximum temperature of 303.56˚C and
weight of 1.459 Kg. Among all modified models disc model 5
has lowest maximum temperatureof 254.22˚Candislightest
with weight of 1.343 Kg. The maximum stress and
deformation of disc model 5 is within the permissible limits.
Table -1: Comparison of parameters between
different models
Model Temper
ature
(˚C)
Max
Stress
MPa
Max
deformati
on
(mm)
Weight
(Kg)
Actual
Disc
303.56 23.67 0.00624 1.459
Disc 1 264.02 53.23 0.01948 1.386
Disc 2 276.37 57.79 0.00651 1.425
Disc 3 275.66 54.10 0.00665 1.385
Disc 4 262.15 42.16 0.00604 1.361
Disc 5 254.22 91.66 0.00611 1.343
220
230
240
250
260
270
280
290
300
310
Actual Disc Disc 1 Disc 2 Disc 3 Disc 4 Disc 5
Temperature˚C
DiscModelTemperature ˚C
0
10
20
30
40
50
60
70
80
90
100
Actual Disc Disc 1 Disc 2 Disc 3 Disc 4 Disc 5
StressMpa
Disc Model
Stress
0
0.005
0.01
0.015
0.02
0.025
Actual
Disc
Disc 1 Disc 2 Disc 3 Disc 4 Disc 5
TotalDeformation
Disc Model
Total Deformation
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6. RESULT
The geometric design of brake disc is an essential factor in
deciding its thermo-mechanical characteristics. Discs with
geometric patterns can be used where faster cooling and
lightness in weight is preferable, as desired in the modern
automobiles. Variation in geometric shape and pattern of
holes affects the temperature distribution over the area of
brake disc. As the convection area increases,heatdissipation
increases. Increased heat dissipation results in reduction of
maximum temperature attained in braking.
From analytical calculations it is found out that the heat flux
and braking torque acting on the brake disc is 97837 W/m2
and 48.75 Nm. The thermal and structural analysis is done
on different disc models and the results are compared to
select the best model. Brake disc model 5 is the best model.
7. CONCLUSION
 The variability in geometric design plays important
role in cooling of the braking phase. Actual disc
rotor has maximum weight i.e. 2.2725 Kg and has
maximum temperature rise than all other models.
 Disc rotor model 2,3,4 and 5 possess less maximum
temperature rise than actual rotor model due to
increase in surface area of the disc exposed to the
atmosphere.
 Maximum temperature in brake disc 5 is 254˚C
which is lowest among all other disc models which
proves that the heat dissipation of themodifieddisc
5 is best among all other models. Disc rotor model 5
is lightest rotor i.e. 8 % lighter than actual rotorand
shows minimum rise in temperature i.e. 16.17 %
less than actual rotor model.
From structural analysis result of different brake disc
models, the maximum stress observedis91.66MPa for brake
disc 5 which is less than ultimate tensilestrengthofstainless
steel which is 510MPa. Hence, the brakedisc 5isstructurally
safe.
8. ACKNOWLEDGEMENT
It gives me great pleasure to present a paper on “Design and
Analysis of Automotive Disc Brake Using FEM”. I am very
much obliged to project guide Prof. S. M. Alage, Professor in
Mechanical Engineering Department, for helping and giving
proper guidance. His timely suggestions made it possible to
complete this project. All efforts might have gone in vain
without his valuable guidance.
I also wish to thank all the professors and non-teaching staff
of the Mechanical Engineering Department for providing an
excellent environment and facilities.
REFERENCES
[1] Aleksander Yevtushenko, Michal Kuciej,
Temperature and thermal stresses in a pad/disc
during braking, Applied Thermal Engineering 30
(2010) 354–359
[2] M.Boniardi, F.D.Errico, C.Tagliabue, G.Gotti,
G.Perricone, Failure analysis of a motorcycle brake
disc, Department of Mechanics, Politecnico di
Milano, Via La Masa 34, 20156 Milano,ItalyBrembo
S.p.A., Viale Europa 2, 24040 Stezzano (BG), Italy.
[3] Deepak S. Hugar, Prof. U.B. kadabadi, Design and
Thermal Analysis of Disc Brake for Minimizing
Temperature, International Research Journal of
Engineering and Technology (IRJET), Volume-04
Issue-07, July 2017.
[4] W. M. Zurin W. S., R. J. Talib, and N. I. Ismail,
Thermal analysis on motorcycle disc brake
geometry, AIP Conference Proceedings 1875,
030022 (2017).
[5] Daanvir Karan Dhir, Thermo-mechanical
performance of automotive disc brakes, Materials
Today: Proceedings 5 (2018) 1864–1871.
[6] Abdulwahab A. Alnaqi, David C. Barton, Peter C.
Brooks, Reduced scale thermal characterization of
automotive disc brake, Applied Thermal
Engineering, October 2014
[7] Venkatramanan R, Kumaragurubaran SB, Vishnu
Kumar C, Sivakumar S, Saravanan B, Design and
Analysis of Disc Brake Rotor, International Journal
of Applied Engineering Research, Volume 10, 2015
[8] Machine Design by R.S KHURMI, J.K. Gupta
[9] Road Vehicle Dynamics by R.V. Dukkipati
[10] Design and analysis of brake disc of mBAJA ATV
[11] https://www.engineersedge.com/heat_transfer/co
nvective_heat_transfer_coefficients__13378.htm
[12] https://www.upmet.com/sites/default/files/datash
eets/410.pdf
[13] https://www.bajajauto.com/motor-bikes/pulsar-
220f/specifications
BIOGRAPHIES
Sanket Vilas Darekar,
Department of Mechanical
Engineering, SCoE, Maharashtra,
India.
Ajinkya Raosaheb Dhage,
Department of Mechanical
Engineering, SCoE, Maharashtra,
India.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1941
Nimish Pankaj Ghumatkar,
Department of Mechanical
Engineering, SCoE, Maharashtra,
India.
Shivam Balasaheb Gosavi,
Department of Mechanical
Engineering, SCoE, Maharashtra,
India.

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IRJET- Design and Analysis of Automotive Disc Brake using FEM.

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1928 Design and Analysis of Automotive Disc Brake using FEM Sanket Darekar1, Ajinkya Dhage2, Nimish Ghumatkar3, Shivam Gosavi4, Prof. S.M. Alage5 1,2,3,4 Department of Mechanical Engineering, Sinhgad College of Engineering, Maharashtra, India. 5 Professor, Department of Mechanical Engineering, Sinhgad College of Engineering, Maharashtra, India. ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - The aim of this project is to design and analyze the automotive disc brake of Bajaj Pulsar 220F. Disc brakes are subjected to very high contact pressure and intensive heating of friction surface. The effectiveness of braking system depends on friction coefficient, stability during braking and wear of friction material. Heat dissipation is important parameter in braking which affects the life of the brake disc. In this work 3D models of disc brakes of Bajaj Pulsar 220F having same diameter with different shape and pattern of holes are prepared in CATIA software. The objective of this work is to investigate and analyze the temperature distribution of rotor disc during braking operation using ANSYS Workbench. Application of specified braking torque leads to generation of heat flux. The heatflux generated and heat transfer coefficient taken into consideration are numericallyanalyzed,whicharethenused to calculate the rotor rigidity, maximum temperature rises on the brake disc. The work uses the finite element analysis techniques to predict the temperature distribution on discs. The static and thermal analysis under different boundary conditions is performed on the disc brake using ANSYS software. The maximum temperature observedandstresses developed in the different types of disc brake models are compared. The influence of variation of shapes and patterns of holes on heat dissipation of brake disc is studied and the optimized disc model is selected based on the analysis results. Key Words: Surface Friction, Friction Coefficient, Heat Dissipation, Heat Flux, Heat Transfer Coefficient, Temperature Distribution, Static and Thermal Analysis. 1. INTRODUCTION The brake is mechanical device that retards and stop the motion of vehicle. Brake absorbs kinetic energy of the wheels and the energy is dissipated in the form of heat energy to the surrounding atmosphere. Generally, in automobile industry drumbrakesanddisc brakesarewidely used. Disc brakes are more reliable than drum brakes. Disc brake system consists of brake caliper, friction pads and rotor. Disc brakes are subjected to very high contact pressure and intensive heating of friction surface. The degree of reliability of the braking action is directly proportional to the firmness of the entire braking system. The parameters which mainly affectsbrakeperformance are friction coefficient, stability during braking and wear of friction material. Ideally, during braking, the heat generated should be quickly distributed to surrounding to avoid the reduction of coefficient of friction between disc brake and brake pad. The high temperature at the contact surface may cause the brake fluid to vaporize due to overheating. The heat from contact may also cause thermoelastic deformation which will vary the coefficient of friction at brake pad surface. This may change the contact pressure distribution at the contact surface. This may create a local high temperature gradient at the contact surface called hot spot. The localized hot spot will cause high local stress that lead to material degradation and failure. Thermal deformation can also initiate major problems such as variation of coefficient of friction of the brake pad, brake fade and vapor lock. If there is inconsistent dissipation of heat, there is intensive heating of brake disc, which causes deformation of the material which leads to failure of disc. 2. LITERATURE REVIEW Aleskander Yevtushkendo, Michal Kuciej [1] studied a two-element model of braking process for a tribosystem consisting of the pad (the strip) sliding with the time- dependent velocity (braking at uniform retardation) on a surface of the disc (the semi-space). The dependences of temperature and thermal stresses on the boundary conditions on upper surface of the ceramic–metal strip was. Analysis investigated of the evolution of thermal stresses in the frictional elements during braking proves that when it is heated considerablenormal compressivestressesoccurnear the contact surface. The value of this stresses decreases with an increase of time and after some time, moment tc the sign changes – which means that the tensile stresses take place. The time when it happens increases monotonously with increase of a time braking ts. On the basis of achieved numerical data it is established, that the possible initiation of the superficial crack during braking can be described as the series of the following phases:  Due to local intensive frictional heating near a contact surface the field of compressive stresses is formed;  after the beginning of braking in the sometime moment tc the tensile normal stresses occur near the subsurface region; and
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1929  when these stresses exceed the tensile strength of the material, the initiation of the surface cracks is possible. M.Boniardi, F.D.Errico, C.Tagliabue, G.Gotti,G.Perricone [2] had done research on factors affecting the life of the brake disc and effect of choosing different kind of steel, characterized by greater resistance to the temperature process. In their paper 'Failure Analysis of motorcycle disc brake' they had done various analysis, at first visual and chemical analysis were done which were followed by hardness test, fractographic analysisandtestofresistanceto tempering for finding the impact ofvariousfactorsonthelife of brake disc also the same tests are followed for the different steel material and all results were analyzed. It is found that the life of brake disc depends upon geometrical factors such aspositionofholes, shapeofspokes etc. as well as other factors such as chemical composition of steel, microstructure also affects the life of the brake disc. Deepak S. Hugar, Prof. U.B.kadabadi [3] haddone“Design and Thermal analysis of disc brake for minimizing temperature” and studied analysis of different shapesofslot of different vehicle Disc rotor brake.Theyoptimizednumber of shapes of slot to estimate good thermal conductivity of disc brake rotor. They had done thermal analysis on real model of disc brake rotor of Bajaj Pulsar. Modelling was done using CATIA V5 R21 software and static and transient thermal analysis was done using ANSYS 15 software. Their study provided a useful designandhelptoimprovethe brake performance of disc brake system. Minimum temperature distribution obtained in modified disc as compared to actual standard disc. They found that new disc is also safe based on strength and rigidity criterion. W. M. Zurin W. S., R. J. Talib, and N. I. Ismail [4] in this paper, solid and ventilated type of motorcycle disc brakeare being analyzedusingComputational FluidDynamicsoftware. The main focus of the analysis isthethermal behaviorduring braking for solid and ventilated disc brake. They discussed the comparison between both geometries to determine the better braking performance in term of temperature distribution. The knowledge gained from the project is to be able to understand the relationship between the brake disc geometry and braking performance in term of thermal dissipation. This knowledge can be used in future as reference for similar research and development. Solid disc brake is a flat surface geometry without having any notched or grooves at the disc. It had more contact surface area during braking compared with ventilated disc brake. However, it tends to have more localized thermo-elastic instability on the contact areas. This phenomenon may lead to brake fade and pad glazing problem because they do not have appropriate ventilated hole which can helptodissipate the braking frictional heat to surrounding. Thermal analysis of the disc brake is done by using ANSYS. Daanvir Karan Dhir [5] studied the rise in temperature of an automotive disc brake at the time of braking and its effect on disc durability using finite element method. The heat flux generated and the heat transfer coefficient taken into consideration were numerically analyzed, which were then used to calculate the rotor rigidity, maximum temperature rises on the disc rotor. The rotor was further loaded with thermo-mechanical cyclic stresses which were used to analyze the durability and fatigue factor of safetyofdisc.The influence of variations in disc rotor geometry i.e. holes and airfoil vents in comparison to a simple flange type disc were studied and their effect on maximum temperature rise and disc durability has been investigated by modeling and conducting FEM techniques in Solid works and ANSYS respectively. Abdulwahab A. Alnaqi, David C. Barton, Peter C. Brooks [6] proposed a scaling methodology to evaluate the thermal performance of a disc brake at a reduced scale. The resulting small-scale disc brake has the advantage of low cost and reduced development time. The proposed scaling methodology was validated by comparing the results forthe full- and small-scale discs using a conventional brake dynamometer. In addition, a two-dimensional axisymmetric transient thermal finite element model was developedusing Abaqus software to assist in the validation of the scaling methodology. The numerical simulations confirmed the equivalence between the full and small-scale disc thermal performance using the proposed scaling methodology and also gave good agreement with the experimental results 3. CASE STUDY Case study is done on the work of mBAJA team’s brake disc of Sinhgad College of Engineering [10]. This studydealswith the structural analysis of rotor disc of disc brake of mBAJA ATV through finite element analysis approach using ANSYS software. A disc brake is a device by meansofwhichartificial frictional resistance is applied to the rotating member, in order to stop the motion of a machine or a vehicle. The objective of structural analysis of rotor disc is to study & evaluate the performance under severe conditions & to suggest best combination of parameters of rotor disc like disc geometry, Wall Thickness & Material composition. In this study, an attempt has been madetoinvestigatetheeffect of stiffness & strength and to analyze the stability & rigidity of the rotor disc. The modelling of rotordiscisdoneinCATIA software. Further structural analysis and thermal analysisis done by using ANSYS.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1930 3.1 Rotor disc Fig -1: Model of brake disc The static structural analysis is performed on brake disc by considering the boundary conditions which are torque applied on the disc and the mounting pointsofthebrakedisc are fixed and the stress and the deformation are evaluated. The thermal analysis is performed on brake disc by considering the boundary conditions which are heat flux applied on the disc and convection through the disc and temperature is evaluated. Fig -2: Boundary conditions for thermal analysis Fig.-3: Boundary conditions for structural analysis 3.2 Results Fig -4: Stress distribution of the brake disc model Fig -5: Temperature distribution of the brake disc model
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1931 Fig -6: Total deformation of the brake disc model 3.3 Conclusion The braking system is the backbone of an ATV, determining the best parameters several analyses is donebyusingAnsys. The structural analysisisdonetodeterminethe strength and sturdiness of the disc, along with-it deformation, stress, strain, displacement and factor of safety is analyzed to provide the best suitable disc qualityforbetterperformance. Heat flux is applied on disc during thermal analysis to determine the heat dissipation. The single stop temperature analysis provides to understand the instant temperature occurred in disc. The brake disc is suitable for efficient performance of BAJA ATV. Thedisc isenoughsturdyand safe for high-duty performance and the master cylinder, rotor positions provides all 4 wheels locking simultaneously, within minimum stopping distance. Hence, the same procedure can be used in design and analysis of automotive brake disc in our project work. 4. CALCULATIONS Brake systems are designed for maximum speed to ensure maximum safety, Bajaj Pulsar 220F has maximum speed of 134 kmph. The constraints for Thermal Analysis and Structural Analysis are calculated by assumingthattherider is driving the vehicle at maximum speed and suddenly applying brakes to retard and stop the motion of the vehicle. While calculating for the constraints, several assumptions are considered are as follows [4]:  All kinetic energy at disc brake rotor surface is converted into frictional heat or heat flux.  The heat transfer involved in this analysis takes place only by conduction and convection. Heat transfer by radiation can be neglected as it is negligible  The disc material is considered as homogeneous and isotropic.  The domain is considered as axisymmetric.  Inertia and body force effects are negligible during the analysis.  The disc is stress free before the brake application.  In this analysis, the ambient temperatureandinitial temperature is set to 22 ºC.  All other possible disc brake loads are neglected.  Only certain parts of disc brake rotor experience convection heat transfer such as the cooling vanes area, the outer ring diameter area and the disc brake surface.  Uniform pressure distribution generated by the brake pad onto the disc brake surface isconsidered. Numerical Method Disc brake model: Bajaj Pulsar 220F Material: Stainless Steel (SS410) Outer Diameter: 260 mm Inner Diameter: 130 mm Mean Diameter: 195 mm Nomenclatures q0 Average braking power in Watt t Stopping time A1 Piston area of brake calliper Coefficient of friction between brake pad and calliper Pmax Maximum pressure in calliper u Top speed of vehicle a Vehicle deceleration w weight of the vehicle D outer diameter of disc d inner diameter of disc Disc Thickness: 5 mm Effective rotor radius: 97.5 mm Top Speed: 134 Kmph=37.22 m/s [13] Kerb Weight = 155 kg [13] Assuming weight of passengers=160 Kg … (for safety) Piston area of brake caliper =A1 = 2000× 10-6 m2
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1932 For vehicle safety purpose deceleration is 21 ft/s = 6.4 m/s2 [2] Deceleration = 21 ft/s = 6.4 m/s2 Stopping Time= = = 5.81 𝑠 The average braking power applied on all wheels is given by, Average braking power = qo = = = 37517.76 W Average braking power applied on each wheel of front side, qo = = 11255.33 W The dynamic weight transfer during braking on front and rear axle is 60:40 percent of total vehicle weight respectively [1]. Hence, Weight distribution on front wheels=0.60 Since only one side of brake disc is considered=0.50 Swept area of rotor = =0.0198 m2 Convective heat transfer coefficient = 200 w/m2 [11] Tangential force between pad and rotor= A1= 500N 5. DESIGN AND ANALYSIS In this chapter 3D solid models of brake disc with different shape of holes and patterns are developed in Heat Flux = = = 97837.24 w/m2 Braking Torque=500× 0.195 = 48.75Nm
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1933 5.1 Modeling in CATIA Disc structure significantly defines the air flow characteristics, different types of disc rotors with different shapes and patterns of holes are developed in CATIA software, for better heat dissipation. Fig.7 is the CATIA model of actual disc which is to be modified. Five different CATIA models are produced by variation of geometry of holes, Shape of slots and pattern of the holes Fig -7: Actual Disc model ACKNOWLEDGEMENT (Optional) The authors can acknowledge any person/authoritiesinthis section. This is not mandatory. Fig -8: Disc model 1 Fig -9: Disc model 2 Fig -10: Disc model 3 Fig -11: Disc model 4
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1934 Fig -12: Disc model 5 Fig -13: Meshing of the brake disc 5.3 Loading and boundary conditions value is very less as compared to heat flux value, thus it is neglected. Fig -14: Boundary conditions for thermal analysis For structural analysis, temperature and corresponding stress in disc brake vary under freeway driving conditions. For analysis the initial and boundary conditions are introduced in structural module of ANSYS. The calculated torque is 48.75Nm and the fixed support constraint is applied on disc model. Fig -15: Boundary conditions for structural analysis 5.4 Thermal analysis Understanding the thermal performance of automotive disc brake is the factor in developing a scaling methodology that replicates the real-world conditions. In this section thermal analysis of disc brake is presented, in order to understand the temperature distribution over the brake disc. The heat flux generated by the friction between the pad and disc is required. The following assumptions apply:  The kinetic energy of the vehicle is converted to thermal energy due to friction at the sliding surface without any energy loss during the braking event [4]. For thermal analysis, the temperature distribution depends upon the heat flux entering the disc through bothsidesofthe disc and wall heat transfer coefficient. Foranalysistheinitial and boundary conditions are introduced in the thermal module of ANSYS. For thermal analysis of brake disc, due to friction between brake calliper and brake pad the heat is generated and due to this heat flux is applied on model of brakedisc preparedin ANSYS. The value of heat flux calculated for the maximum speed is 97837 W/m2, andtheambienttemperatureis220C. These constraints are used for thermal analysisofbrakedisc model. Also, heat loss due to radiation takes places but the 5.2 Meshing of the disc Meshing is important to simulate the boundary technique of problem. Mesh quality has great influence on the results. Mesh size decides the numerical convergence of solution. If the mesh size is poor then it will not give properresults.Fine mesh gives numerical convergence with accurate results.
  • 8. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1935  The heat flux generated by friction at the interface between the pad and disc is transferredtothebrake pads and the disc according to their respective thermal properties [5].  All brake parts are in steady state condition before braking commences. The steady-state thermal analysis is used to determine temperatures, thermal gradients, heat flow rates, and heat fluxes in an object that are caused by thermal loads that do not vary over time.Asteady-statethermal analysiscalculates the effects of steady thermal loads on a system or component. The temperature distribution resultsinthermal stresses that can cause the failure [2]. In such cases temperature from the transient thermal analysisforthermal stress is evaluated. Steady-state thermal analysis is performed on all discs by applying temperature constraints. The heat flux of 97837 W/mm2 is applied on circular cross-section of the disc in contact with the piston cylinder and the ambient temperature is taken as 295K. Fig -16: Temperature of actual brake disc model Fig -17: Temperature of the brake disc model 1 Fig -18: Temperature of the brake disc model 2 Fig -19: Temperature of the brake disc model 3 Fig -20: Temperature of the brake disc model 4
  • 9. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1936 Fig -21: Temperature of the brake disc model 5 5.5 Structural analysis Static structure analysis is the most common application in FEM. Structural loads on brake disc, geometry of brake disc, support conditions and material properties of brakediscare determined to perform accurate structural analysis. Static analysis determines the displacement, stress, strain,force in structure or component caused by loads that do not induce inertia and damping effects.Thisprojectdealswiththestudy of stress, deformation on different brake disc models under static condition. After completion of finite element model, it must constrain and load must be applied to the model. Torque of 48.75Nm is applied on the swept area of brake disc and the bolt holes are fixed. Fig -22: Stress distribution of the actual brake disc model Fig -23: Stress distribution of the brake disc model 1 Thermal analysis is performed on different brake disc models and the temperature distribution is studied for different disc models. The actual brake disc of Bajaj Pulsar 220F has a smaller number of holes and the maximum temperature rise is observed in actual brake disc model and it was 303.56˚C. In brake disc model 1 the holes were changed to elliptical shape and the cut-outs were given on the outer diameter of brake disc to increase the area available for heat dissipation thus the maximum temperature in brake disc model 2 was 264.02˚C. In brake disc model 2 the combination of rounded rectangular holes and circular holes were designed. The maximum temperature observed in the brake disc model 2 was 276.37˚C. In brake disc model 3all holeswereoftherounded rectangular shape and the maximum temperature observed in this disc is 275.66˚C. In brake disc model 4 linear slots were provided along with the circular shaped holes. The area available for heat dissipation in brake disc model 4 was more as compared to other disc models and the maximum temperature observed in the brake disc model 4 was 262.15˚C. In brake disc model 5 dumbbell shaped holes were provided along with linear slots and circular shaped holes. The maximum temperature observed in this disc was 254.22˚C whichislowestamong all other models and hence it is the best brake disc model among all other models. The maximum attained temperatureintheotherdiscmodels is less than the actual disc due to better cooling and heat dissipating characteristics. Disc 1,2,3,4 and 5 have a greater number of drilled holes and circularholeswhichincrease the contact surface area of the disc with the air, thus increasing the rate of heat dissipation through convection.Disc model 5 shows lowest maximum temperature among all other models.
  • 10. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1937 Fig -24: Stress distribution of the brake disc model 2 Fig -25: Stress distribution of the brake disc model 3 Fig -26: Stress distribution of the brake disc model 4 Fig -27: Stress distribution of the brake disc model 5 The actual brake disc of Bajaj pulsar 220Fhaslessnumber of holes. The maximum stress observed in actual brake disc is 23.67 MPa which is least among all other disc models. As the shape of holes is changed and a greater number of holes are provided area of the brake disc decreases and the maximum stress increases. Maximum stress observed in brake disc model 1 is 53.23MPa. Maximum stress observed in brake disc model 2 is 57.79 MPa. In Brake disc model 3 the maximum stress observed is 54.10 MPa. Maximum stress observed in brake disc model 4 is 42.16 MPa. Brake disc model 5 has a greater number of holes and more pattern of holes. Disc 5 shows highest value of stress of 91.66 MPa among othermodels.Asthemaximum allowable stress for stainless steel (SS410) is 510 MPa. The modified brake disc model 5 is safe. Fig -28: Total deformation of the actual brake disc model
  • 11. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1938 Fig -29: Total deformation of the brake disc model 1 Fig -30: Total deformation of the brake disc model 2 Fig -31: Total deformation of the brake disc model 3 Fig -32: Total deformation of the brake disc model 4 Fig -33: Total deformation of the brake disc model 5 Deformation refers to any changes in the shape or size of an object due to:  An applied force (the deformation energy in this case is transferred through work) or  A change in temperature(thedeformation energyin this case is transferred through heat). As deformation occurs, internal inter-molecular forces arise that oppose the applied force. If the applied force is not too great, these forces may be sufficient to completely resist the applied force and allow the object to assume a new equilibrium state and to return to its original state when the load is removed. A larger applied force may lead to a permanent deformation of the objectoreventoits structural failure.
  • 12. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1939 The maximum deformation in actual brake disc is 0.00624mm. The loss in rigidity of rotor accounts for increased deformation is due to material removal. The maximum deformation observed in brake disc model 1, model 2, model 3, model 4 and model 5 are 0.01948mm, 0.00651mm, 0.00665mm, 0.00604mm and 0.00611mm respectively. Chart -1: Temperature variation in different disc models Chart -2: Stress variation in different disc models Chart -3: Total deformation variation in different disc models 5.6 Optimization and Selection of final model The variability in disc geometry plays very significantrole in cooling of the disc in braking performance. The maximum temperature observed and stresses developed in the different types of disc brake models are compared. Actual disc shows highest maximum temperature of 303.56˚C and weight of 1.459 Kg. Among all modified models disc model 5 has lowest maximum temperatureof 254.22˚Candislightest with weight of 1.343 Kg. The maximum stress and deformation of disc model 5 is within the permissible limits. Table -1: Comparison of parameters between different models Model Temper ature (˚C) Max Stress MPa Max deformati on (mm) Weight (Kg) Actual Disc 303.56 23.67 0.00624 1.459 Disc 1 264.02 53.23 0.01948 1.386 Disc 2 276.37 57.79 0.00651 1.425 Disc 3 275.66 54.10 0.00665 1.385 Disc 4 262.15 42.16 0.00604 1.361 Disc 5 254.22 91.66 0.00611 1.343 220 230 240 250 260 270 280 290 300 310 Actual Disc Disc 1 Disc 2 Disc 3 Disc 4 Disc 5 Temperature˚C DiscModelTemperature ˚C 0 10 20 30 40 50 60 70 80 90 100 Actual Disc Disc 1 Disc 2 Disc 3 Disc 4 Disc 5 StressMpa Disc Model Stress 0 0.005 0.01 0.015 0.02 0.025 Actual Disc Disc 1 Disc 2 Disc 3 Disc 4 Disc 5 TotalDeformation Disc Model Total Deformation
  • 13. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1940 6. RESULT The geometric design of brake disc is an essential factor in deciding its thermo-mechanical characteristics. Discs with geometric patterns can be used where faster cooling and lightness in weight is preferable, as desired in the modern automobiles. Variation in geometric shape and pattern of holes affects the temperature distribution over the area of brake disc. As the convection area increases,heatdissipation increases. Increased heat dissipation results in reduction of maximum temperature attained in braking. From analytical calculations it is found out that the heat flux and braking torque acting on the brake disc is 97837 W/m2 and 48.75 Nm. The thermal and structural analysis is done on different disc models and the results are compared to select the best model. Brake disc model 5 is the best model. 7. CONCLUSION  The variability in geometric design plays important role in cooling of the braking phase. Actual disc rotor has maximum weight i.e. 2.2725 Kg and has maximum temperature rise than all other models.  Disc rotor model 2,3,4 and 5 possess less maximum temperature rise than actual rotor model due to increase in surface area of the disc exposed to the atmosphere.  Maximum temperature in brake disc 5 is 254˚C which is lowest among all other disc models which proves that the heat dissipation of themodifieddisc 5 is best among all other models. Disc rotor model 5 is lightest rotor i.e. 8 % lighter than actual rotorand shows minimum rise in temperature i.e. 16.17 % less than actual rotor model. From structural analysis result of different brake disc models, the maximum stress observedis91.66MPa for brake disc 5 which is less than ultimate tensilestrengthofstainless steel which is 510MPa. Hence, the brakedisc 5isstructurally safe. 8. ACKNOWLEDGEMENT It gives me great pleasure to present a paper on “Design and Analysis of Automotive Disc Brake Using FEM”. I am very much obliged to project guide Prof. S. M. Alage, Professor in Mechanical Engineering Department, for helping and giving proper guidance. His timely suggestions made it possible to complete this project. All efforts might have gone in vain without his valuable guidance. I also wish to thank all the professors and non-teaching staff of the Mechanical Engineering Department for providing an excellent environment and facilities. REFERENCES [1] Aleksander Yevtushenko, Michal Kuciej, Temperature and thermal stresses in a pad/disc during braking, Applied Thermal Engineering 30 (2010) 354–359 [2] M.Boniardi, F.D.Errico, C.Tagliabue, G.Gotti, G.Perricone, Failure analysis of a motorcycle brake disc, Department of Mechanics, Politecnico di Milano, Via La Masa 34, 20156 Milano,ItalyBrembo S.p.A., Viale Europa 2, 24040 Stezzano (BG), Italy. [3] Deepak S. Hugar, Prof. U.B. kadabadi, Design and Thermal Analysis of Disc Brake for Minimizing Temperature, International Research Journal of Engineering and Technology (IRJET), Volume-04 Issue-07, July 2017. [4] W. M. Zurin W. S., R. J. Talib, and N. I. Ismail, Thermal analysis on motorcycle disc brake geometry, AIP Conference Proceedings 1875, 030022 (2017). [5] Daanvir Karan Dhir, Thermo-mechanical performance of automotive disc brakes, Materials Today: Proceedings 5 (2018) 1864–1871. [6] Abdulwahab A. Alnaqi, David C. Barton, Peter C. Brooks, Reduced scale thermal characterization of automotive disc brake, Applied Thermal Engineering, October 2014 [7] Venkatramanan R, Kumaragurubaran SB, Vishnu Kumar C, Sivakumar S, Saravanan B, Design and Analysis of Disc Brake Rotor, International Journal of Applied Engineering Research, Volume 10, 2015 [8] Machine Design by R.S KHURMI, J.K. Gupta [9] Road Vehicle Dynamics by R.V. Dukkipati [10] Design and analysis of brake disc of mBAJA ATV [11] https://www.engineersedge.com/heat_transfer/co nvective_heat_transfer_coefficients__13378.htm [12] https://www.upmet.com/sites/default/files/datash eets/410.pdf [13] https://www.bajajauto.com/motor-bikes/pulsar- 220f/specifications BIOGRAPHIES Sanket Vilas Darekar, Department of Mechanical Engineering, SCoE, Maharashtra, India. Ajinkya Raosaheb Dhage, Department of Mechanical Engineering, SCoE, Maharashtra, India.
  • 14. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 01 | Jan 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1941 Nimish Pankaj Ghumatkar, Department of Mechanical Engineering, SCoE, Maharashtra, India. Shivam Balasaheb Gosavi, Department of Mechanical Engineering, SCoE, Maharashtra, India.