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International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1965
Design and StaticAnalysis of a Two-Wheeler Suspension System
M.Diwakar, & Y.Suresh Kumar
1
M.TECH SCHOLAR,
2
Assistant professor, Dept of Mechanical Engineering, Nova College of Engineering
&Technology, Jangareddigudem, East Godavari(Dt) , A.P, India.
ABSTRACT:
The suspension system is used to observe
the vibrations from shock loads due to
irregularities of the road surface. It
performs function without impairing the
stability, steering (or) general handling of
the vehicle. Generally, for light vehicles
coil springs are used as suspension
system. A spring is an elastic object used
to store mechanical energy and it can be
twist, pulled (or) stretched by some force
and can return to their original shape
when the force is released. The present
work attempts to analyze the safe load of
the light vehicle suspension spring with
different materials.
This investigation includes comparison of
modelling and analyses of primary
suspension spring made of low structural
steel and aluminium alloy and suggested
the suitability for optimum design.
3D model design of the shock absorber is
carried out using the CATIAv5R20
modelling software. It is imported to
ANSYS analysis software where the
desired stress and deformation by static
analysis and results are obtained for
further comparison to get a conclusion.
The results show the reduction in overall
stress and deflection of spring for chosen
materials.
Keywords: coil springs, primary
suspension system, modelling, static
analysis, ANSYS , CATIAv5R20.
INTRODUCTION
Suspension is the term given to the system
of springs, shock
absorbers and linkages that connects
a vehicle to its wheels and allows relative
motion between the two.Suspension
systems serve a dual purpose —
contributing to the vehicle's road
holding/handling and braking for good
active safety and driving pleasure, and
keeping vehicle occupants comfortable
and reasonably well isolated from road
noise, bumps, and vibrations,etc. These
goals are generally at odds, so the tuning
of suspensions involves finding the right
compromise. It is important for the
suspension to keep the road wheel in
contact with the road surface as much as
possible, because all the forces acting on
the vehicle do so through the contact
patches of the tires. The suspension also
protects the vehicle itself and any cargo or
luggage from damage and wear. The
design of front and rear suspension of a car
may be different.
The Shock absorber which is one of the
Suspension systems is designed
mechanically to handle shock impulse and
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1966
dissipate kinetic energy. It reduces the
amplitude of disturbances leading to
increase in comfort and improved ride
quality. Hence, the designing of spring in a
suspension system is very crucial. Design
in an important industrial activity which
influences the quality of the product. The
Shock absorber coil spring is designed by
using the modeling software CATIA V5
R20. In modeling the time is spent in
drawing the coil spring model and the risk
involved in design and manufacturing
process can be easily minimized. So the
modeling of the coil spring is made by
using CATIA V5 R20. Later this CATIA
V5 R20model is imported to ANSYS for
the analysis work. The ANSYS software is
used for analyzing the component by
varying the load applied on it and the
results are observed. A solver mode in
ANSYS software calculates the stresses
and their relation without manual
interventions thereby reducing the time
compared with the manual theoretical
work.
A. Applications
Shock absorbers are an important part of
automobile and motorcycle suspensions,
aircraft landing gear, and the supports for
many industrial machines. Large shock
absorbers have also been used in structural
engineering to reduce the susceptibility of
structures to earthquake damage and
resonance. A transverse mounted shock
absorber, called a yaw damper, helps keep
railcars from swaying excessively from
side to side and are important in passenger
railroads, commuter rail and rapid transit
systems because they prevent railcars from
damaging station platforms.
B. Structures
Applied to a structure such as a building or
bridge it may be part of a seismic retrofit
or as part of new, earthquake resistant
construction. In this application it allows
yet restrains motion and absorbs resonant
energy, which can cause excessive motion
and eventual structural failure.
C. Shock Absorber types
There are a number of different methods of
converting an impact /collision into
relatively smooth cushioned contact
Leaf springs have been around since the
early Egyptians.
Ancient military engineers used leaf
springs in the form of bows to power their
siege engines, with little success at first.
The use of leaf springs in catapults was
later refined and made to work years later.
Springs were not only made of metal, a
sturdy tree branch could be used as a
spring, such as with a bow.
By the early 19th century, most British
horse carriages were equipped with
springs; wooden springs in the case of
light one-horse vehicles to avoid taxation,
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1967
and steel springs in larger vehicles. These
were made of low-carbon steel and usually
took the form of multiple layer leaf
springs.
The British steel springs were not well
suited for use on America's rough roads of
the time, and could even cause coaches to
collapse if cornered too fast. In the 1820s,
the Abbot Downing Company of Concord,
New Hampshire re-discovered the antique
system whereby the bodies
of stagecoaches were supported on leather
straps called "thoroughbraces", which gave
a swinging motion instead of the jolting up
and down of a spring suspension (the
stagecoach itself was sometimes called a
"thoroughbrace").
Automobiles were initially developed as
self-propelled versions of horse drawn
vehicles. However, horse drawn vehicles
had been designed for relatively slow
speeds and their suspension was not well
suited to the higher speeds permitted by
the internal combustion engine.
LITERATURE SURVEY
Historically, the first mass production car
with front to rear mechanical
interconnected suspension was the
1948 Citroën 2CV. The suspension of the
2CV was extremely soft — the
longitudinal link was making pitch softer
instead of making roll stiffer. It relied on
extreme antidive and antisquat geometries
to compensate for that. This redunded into
a softer axle crossing stiffness that anti-roll
bars would have otherwise compromised.
The leading arm / trailing arm swinging
arm, fore-aft linked suspension system
together with inboard front brakes had a
much smaller unsprung weight than
existing coil spring or leaf designs. The
interconnection transmitted some of the
force deflecting a front wheel up over a
bump, to push the rear wheel down on the
same side. When the rear wheel met that
bump a moment later, it did the same in
reverse, keeping the car level front to rear.
The 2CV had a design brief to be able to
be driven at speed over a ploughed field. It
originally featured friction dampers
and tuned mass dampers. Later models
had tuned mass dampers at the front with
telescopic dampers / shock absorbers front
and rear.
TYPES OF SHOCK
ABSORBERS
There are several commonly-used
approaches to shock absorption:
 Hysteresis of structural material,
for example the compression of
rubber disks, stretching of rubber
bands and cords, bending of steel
springs, or twisting of torsion bars.
Hysteresis is the tendency for
otherwise elastic materials to
rebound with less force than was
required to deform them. Simple
vehicles with no separate shock
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1968
absorbers are damped, to some
extent, by the hysteresis of their
springs and frames.
 Dry friction as used in wheel
brakes, by using disks (classically
made of leather) at the pivot of a
lever, with friction forced by
springs. Used in early automobiles
such as the Ford Model T, up
through some British cars of the
1940s. Although now considered
obsolete, an advantage of this
system is its mechanical simplicity;
the degree of damping can be
easily adjusted by tightening or
loosening the screw clamping the
disks, and it can be easily rebuilt
with simple hand tools. A
disadvantage is that the damping
force tends not to increase with the
speed of the vertical motion.
 Solid state, tapered chain shock
absorbers, using one or more
tapered, axial alignment(s) of
granular spheres, typically made of
metals such as nitinol, in a casing.
3.1APPLICATIONS:
Applications Shock absorbers are an
important part of automobile and
motorcycle suspensions, aircraft landing
gear, and the supports for many industrial
machines. Large shock absorbers have also
been used in structural engineering to
reduce the susceptibility of structures to
earthquake damage and resonance. A
transverse mounted shock absorber, called
a yaw damper, helps keep railcars from
swaying excessively from side to side and
are important in passenger railroads,
commuter rail and rapid transit systems
because they prevent railcars from
damaging station platforms. The success
of passive damping technologies in
suppressing vibration amplitudes could be
ascertained with the fact that it has a
market size of around $ 4.5 billion
3.2 Vehicle suspension
In a vehicle, it reduces the effect of
traveling over rough ground, leading to
improved ride quality, and increase in
comfort due to substantially reduced
amplitude of disturbances. Without shock
absorbers, the vehicle would have a
bouncing ride, as energy is stored in the
spring and then released to the vehicle,
possibly exceeding the allowed range of
suspension movement. Control of
excessive suspension movement without
shock absorption requires stiffer (higher
rate) springs, which would in turn give a
harsh ride. Shock absorbers allow the use
of soft (lower rate) springs while
controlling the rate of suspension
movement in response to bumps. They
also, along with hysteresis in the tire itself,
damp the motion of the unspring weight
up and down on the springiness of the tire.
Since the tire is not as soft as the springs,
effective wheel bounce damping may
require stiffer shocks than would be ideal
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1969
for the vehicle motion alone. Spring-based
shock absorbers commonly use coil
springs or leaf springs, though torsion bars
can be used in tensional shocks as well.
Ideal springs alone, however, are not
shock absorbers as springs only store and
do not dissipate or absorb energy. Vehicles
typically employ springs and torsion bars
as well as hydraulic shock absorbers. In
this combination, "shock absorber" is
reserved specifically for the hydraulic
piston that absorbs and dissipates
vibration.
SUSPENSION SPRING
PROPERTIES
Spring rate
The spring rate (or suspension rate) is a
component in setting the vehicle's ride
height or its location in the suspension
stroke. When a spring is compressed or
stretched, the force it exerts is proportional
to its change in length. The spring
rate or spring constant of a spring is the
change in the force it exerts, divided by the
change in deflection of the spring.
Vehicles which carry heavy loads will
often have heavier springs to compensate
for the additional weight that would
otherwise collapse a vehicle to the bottom
of its travel (stroke). Heavier springs are
also used in performance applications
where the loading conditions experienced
are more extreme.
Mathematics of the spring rate
Spring rate is a ratio used to measure how
resistant a spring is to being compressed or
expanded during the spring's deflection.
The magnitude of the spring force
increases as deflection increases according
to Hooke's Law. Briefly, this can be stated
as
where
F is the force the spring exerts
k is the spring rate of the spring.
x is the displacement from equilibrium
length i.e. the length at which the spring is
neither compressed or stretched.
Spring rate is confined to a narrow interval
by the weight of the vehicle,load the
vehicle will carry, and to a lesser extent by
suspension geometry and performance
desires.
Spring rates typically have units
of N/mm (or lbf/in). An example of a
linear spring rate is 500 lbf/in. For every
inch the spring is compressed, it exerts
500 lbf. A non-linear spring rate is one for
which the relation between the spring's
compression and the force exerted cannot
be fitted adequately to a linear model. For
example, the first inch exerts 500 lbf force,
the second inch exerts an additional
550 lbf (for a total of 1050 lbf), the third
inch exerts another 600 lbf (for a total of
1650 lbf). In contrast a 500 lbf/in linear
spring compressed to 3 inches will only
exert 1500 lbf.
The spring rate of a coil spring may be
calculated by a simple algebraic equation
or it may be measured in a spring testing
machine. The spring constant k can be
calculated as follows:
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1970
where d is the wire diameter, G is the
spring's shear modulus (e.g., about
12,000,000 lbf/in² or 80 GPa for steel),
and N is the number of wraps and D is the
diameter of the coil.
Roll Rate
Roll rate is analogous to a vehicle's ride
rate, but for actions that include lateral
accelerations, causing a vehicle's sprung
mass to roll. It is expressed as torque per
degree of roll of the vehicle sprung mass.
It is influenced by factors including but
not limited to vehicle sprung mass, track
width, CG height, spring and damper rates,
anti-roll bar stiffness and tire
pressure/construction. The roll rate of a
vehicle can, and usually differs front to
rear, which allows for the tuning ability of
a vehicle for transient and steady state
handling. The roll rate of a vehicle does
not change the total amount of weight
transfer on the vehicle, but shifts the speed
at which and percentage of weight
transferred on a particular axle to another
axle through the vehicle chassis.
Generally, the higher the roll rate on an
axle of a vehicle, the faster and higher
percentage the weight transfer on that axle.
Sprung weight transfer
Sprung weight transfer is the weight
transferred by only the weight of the
vehicle resting on the springs, not the total
vehicle weight. Calculating this requires
knowing the vehicle's sprung weight (total
weight less the unsprung weight), the front
and rear roll center heights and the sprung
center of gravity height (used to calculate
the roll moment arm length). Calculating
the front and rear sprung weight transfer
will also require knowing the roll couple
percentage.
The roll axis is the line through the front
and rear roll centers that the vehicle rolls
around during cornering. The distance
from this axis to the sprung center of
gravity height is the roll moment arm
length. The total sprung weight transfer is
equal to the G-force times the sprung
weight times the roll moment arm length
divided by the effective track width. The
front sprung weight transfer is calculated
by multiplying the roll couple percentage
times the total sprung weight transfer. The
rear is the total minus the front transfer.
Jacking forces
Jacking forces are the sum of the vertical
force components experienced by the
suspension links. The resultant force acts
to lift the sprung mass if the roll center is
above ground, or compress it if
underground. Generally, the higher the roll
center, the more jacking force is
experienced.
Damping
Damping is the control of motion or
oscillation, as seen with the use of
hydraulic gates and valves in a vehicles
shock absorber. This may also vary,
intentionally or unintentionally. Like
spring rate, the optimal damping for
comfort may be less than for control.
Damping controls the travel speed and
resistance of the vehicle's suspension. An
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1971
undamped car will oscillate up and down.
With proper damping levels, the car will
settle back to a normal state in a minimal
amount of time. Most damping in modern
vehicles can be controlled by increasing or
decreasing the resistance to fluid flow in
the shock absorber.
DESIGN OF A SUSPENSION IN
CATIA:
ANSYS RESULTS:
Shock absorber static analysis
with aluminium 5000N
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1972
Model (B4) > Mesh > Figure
Equivalent Stress > Figure
Total Deformation > Figure
Static analysis with steel 5000N
Equivalent Stress > Figure
Total Deformation > Figure
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1973
RESULTS TABLE
MATERIAL STRES
S (PAS)
DEFORAMTIO
N (M)
STEEL 7.057 3.9449
ALUMINIU
M
7.066 1.106
CONCLUSION:
It is imported to ANSYS analysis software
where the desired stress and deformation
by static analysis and results are obtained
for further comparison to get a conclusion.
The results show the reduction in overall
stress and deflection of spring for chosen
materials. In this aluminium is less
compared with steel in static analysis by
deformation according to above results
table.
According to the two materials when can
consider the steel alloy first and
aluminium alloy next.
So we used both the materials in the shock
absorbers manufacturing process of the
parts.
REFERENCES
[1] Pinjarla.Poormohan and Lakshmana
Kishore T, “Design and Analysis of a
Shock Absorber”, International Journal of
Research in Engineering and Technology,
ISSN: 2319-1163, Volume: 1, Issue: 4,
pp.578-592, December 2012
[2] Kommalapati. Rameshbabu, Tippa
Bhimasankar Rao, “Design Evaluation of a
two wheeler suspension system for
variable load conditions” International
Journal of Computational Engineering
Research, Vol 03, Issue 4, pp. 279-283 ,
2013
[3] Gajendra Singh Rathore and Upendra
Kumar Joshi, “Fatigue Stress analysis of
helical Compression Spring: A Review”,
International Journal of Emerging Trends
in Engineering and Development, ISSN:
2249-6149, Volume: 2, Issue: 3, pp. 512-
520, May 2013
[4] B. Pyttel, I. Brunner, B. Kaiser, C.
Berger, M. Mahendran, “Fatigue
behaviour of helical compression springs
at a very high number of cycles–
Investigation of various influences”,
International Journal of Fatigue (2013),
S0142- 1123(13)00017-0, JIJF 3037.
International Journal of Research
Available at https://edupediapublications.org/journals
e-ISSN: 2348-6848
p-ISSN: 2348-795X
Volume 05 Issue 15
May 2018
Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1974
[5] Brita Pyttel, K K Ray, Isabell Brunner,
Abhishek Tiwari, S. A. Kaoua.
“Investigation of probable failure position
in helical compression springs used in fuel
injection system of diesel engines”, IOSR
Journal of Mechanical and Civil
Engineering (IOSRJMCE) ISSN: 2278-
1684 Volume 2, Issue 3 (Sep-Oct. 2012),
PP 24-29.
[6] Mehdi Bakhshesh and Majid
Bakhshesh., “Optimization of Steel Helical
Spring by Composite Spring”,
International journal of multidisciplinary
science and engineering, vol.3, No.6, june
2012.

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15006-15169-1-PB.pdf

  • 1. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1965 Design and StaticAnalysis of a Two-Wheeler Suspension System M.Diwakar, & Y.Suresh Kumar 1 M.TECH SCHOLAR, 2 Assistant professor, Dept of Mechanical Engineering, Nova College of Engineering &Technology, Jangareddigudem, East Godavari(Dt) , A.P, India. ABSTRACT: The suspension system is used to observe the vibrations from shock loads due to irregularities of the road surface. It performs function without impairing the stability, steering (or) general handling of the vehicle. Generally, for light vehicles coil springs are used as suspension system. A spring is an elastic object used to store mechanical energy and it can be twist, pulled (or) stretched by some force and can return to their original shape when the force is released. The present work attempts to analyze the safe load of the light vehicle suspension spring with different materials. This investigation includes comparison of modelling and analyses of primary suspension spring made of low structural steel and aluminium alloy and suggested the suitability for optimum design. 3D model design of the shock absorber is carried out using the CATIAv5R20 modelling software. It is imported to ANSYS analysis software where the desired stress and deformation by static analysis and results are obtained for further comparison to get a conclusion. The results show the reduction in overall stress and deflection of spring for chosen materials. Keywords: coil springs, primary suspension system, modelling, static analysis, ANSYS , CATIAv5R20. INTRODUCTION Suspension is the term given to the system of springs, shock absorbers and linkages that connects a vehicle to its wheels and allows relative motion between the two.Suspension systems serve a dual purpose — contributing to the vehicle's road holding/handling and braking for good active safety and driving pleasure, and keeping vehicle occupants comfortable and reasonably well isolated from road noise, bumps, and vibrations,etc. These goals are generally at odds, so the tuning of suspensions involves finding the right compromise. It is important for the suspension to keep the road wheel in contact with the road surface as much as possible, because all the forces acting on the vehicle do so through the contact patches of the tires. The suspension also protects the vehicle itself and any cargo or luggage from damage and wear. The design of front and rear suspension of a car may be different. The Shock absorber which is one of the Suspension systems is designed mechanically to handle shock impulse and
  • 2. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1966 dissipate kinetic energy. It reduces the amplitude of disturbances leading to increase in comfort and improved ride quality. Hence, the designing of spring in a suspension system is very crucial. Design in an important industrial activity which influences the quality of the product. The Shock absorber coil spring is designed by using the modeling software CATIA V5 R20. In modeling the time is spent in drawing the coil spring model and the risk involved in design and manufacturing process can be easily minimized. So the modeling of the coil spring is made by using CATIA V5 R20. Later this CATIA V5 R20model is imported to ANSYS for the analysis work. The ANSYS software is used for analyzing the component by varying the load applied on it and the results are observed. A solver mode in ANSYS software calculates the stresses and their relation without manual interventions thereby reducing the time compared with the manual theoretical work. A. Applications Shock absorbers are an important part of automobile and motorcycle suspensions, aircraft landing gear, and the supports for many industrial machines. Large shock absorbers have also been used in structural engineering to reduce the susceptibility of structures to earthquake damage and resonance. A transverse mounted shock absorber, called a yaw damper, helps keep railcars from swaying excessively from side to side and are important in passenger railroads, commuter rail and rapid transit systems because they prevent railcars from damaging station platforms. B. Structures Applied to a structure such as a building or bridge it may be part of a seismic retrofit or as part of new, earthquake resistant construction. In this application it allows yet restrains motion and absorbs resonant energy, which can cause excessive motion and eventual structural failure. C. Shock Absorber types There are a number of different methods of converting an impact /collision into relatively smooth cushioned contact Leaf springs have been around since the early Egyptians. Ancient military engineers used leaf springs in the form of bows to power their siege engines, with little success at first. The use of leaf springs in catapults was later refined and made to work years later. Springs were not only made of metal, a sturdy tree branch could be used as a spring, such as with a bow. By the early 19th century, most British horse carriages were equipped with springs; wooden springs in the case of light one-horse vehicles to avoid taxation,
  • 3. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1967 and steel springs in larger vehicles. These were made of low-carbon steel and usually took the form of multiple layer leaf springs. The British steel springs were not well suited for use on America's rough roads of the time, and could even cause coaches to collapse if cornered too fast. In the 1820s, the Abbot Downing Company of Concord, New Hampshire re-discovered the antique system whereby the bodies of stagecoaches were supported on leather straps called "thoroughbraces", which gave a swinging motion instead of the jolting up and down of a spring suspension (the stagecoach itself was sometimes called a "thoroughbrace"). Automobiles were initially developed as self-propelled versions of horse drawn vehicles. However, horse drawn vehicles had been designed for relatively slow speeds and their suspension was not well suited to the higher speeds permitted by the internal combustion engine. LITERATURE SURVEY Historically, the first mass production car with front to rear mechanical interconnected suspension was the 1948 Citroën 2CV. The suspension of the 2CV was extremely soft — the longitudinal link was making pitch softer instead of making roll stiffer. It relied on extreme antidive and antisquat geometries to compensate for that. This redunded into a softer axle crossing stiffness that anti-roll bars would have otherwise compromised. The leading arm / trailing arm swinging arm, fore-aft linked suspension system together with inboard front brakes had a much smaller unsprung weight than existing coil spring or leaf designs. The interconnection transmitted some of the force deflecting a front wheel up over a bump, to push the rear wheel down on the same side. When the rear wheel met that bump a moment later, it did the same in reverse, keeping the car level front to rear. The 2CV had a design brief to be able to be driven at speed over a ploughed field. It originally featured friction dampers and tuned mass dampers. Later models had tuned mass dampers at the front with telescopic dampers / shock absorbers front and rear. TYPES OF SHOCK ABSORBERS There are several commonly-used approaches to shock absorption:  Hysteresis of structural material, for example the compression of rubber disks, stretching of rubber bands and cords, bending of steel springs, or twisting of torsion bars. Hysteresis is the tendency for otherwise elastic materials to rebound with less force than was required to deform them. Simple vehicles with no separate shock
  • 4. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1968 absorbers are damped, to some extent, by the hysteresis of their springs and frames.  Dry friction as used in wheel brakes, by using disks (classically made of leather) at the pivot of a lever, with friction forced by springs. Used in early automobiles such as the Ford Model T, up through some British cars of the 1940s. Although now considered obsolete, an advantage of this system is its mechanical simplicity; the degree of damping can be easily adjusted by tightening or loosening the screw clamping the disks, and it can be easily rebuilt with simple hand tools. A disadvantage is that the damping force tends not to increase with the speed of the vertical motion.  Solid state, tapered chain shock absorbers, using one or more tapered, axial alignment(s) of granular spheres, typically made of metals such as nitinol, in a casing. 3.1APPLICATIONS: Applications Shock absorbers are an important part of automobile and motorcycle suspensions, aircraft landing gear, and the supports for many industrial machines. Large shock absorbers have also been used in structural engineering to reduce the susceptibility of structures to earthquake damage and resonance. A transverse mounted shock absorber, called a yaw damper, helps keep railcars from swaying excessively from side to side and are important in passenger railroads, commuter rail and rapid transit systems because they prevent railcars from damaging station platforms. The success of passive damping technologies in suppressing vibration amplitudes could be ascertained with the fact that it has a market size of around $ 4.5 billion 3.2 Vehicle suspension In a vehicle, it reduces the effect of traveling over rough ground, leading to improved ride quality, and increase in comfort due to substantially reduced amplitude of disturbances. Without shock absorbers, the vehicle would have a bouncing ride, as energy is stored in the spring and then released to the vehicle, possibly exceeding the allowed range of suspension movement. Control of excessive suspension movement without shock absorption requires stiffer (higher rate) springs, which would in turn give a harsh ride. Shock absorbers allow the use of soft (lower rate) springs while controlling the rate of suspension movement in response to bumps. They also, along with hysteresis in the tire itself, damp the motion of the unspring weight up and down on the springiness of the tire. Since the tire is not as soft as the springs, effective wheel bounce damping may require stiffer shocks than would be ideal
  • 5. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1969 for the vehicle motion alone. Spring-based shock absorbers commonly use coil springs or leaf springs, though torsion bars can be used in tensional shocks as well. Ideal springs alone, however, are not shock absorbers as springs only store and do not dissipate or absorb energy. Vehicles typically employ springs and torsion bars as well as hydraulic shock absorbers. In this combination, "shock absorber" is reserved specifically for the hydraulic piston that absorbs and dissipates vibration. SUSPENSION SPRING PROPERTIES Spring rate The spring rate (or suspension rate) is a component in setting the vehicle's ride height or its location in the suspension stroke. When a spring is compressed or stretched, the force it exerts is proportional to its change in length. The spring rate or spring constant of a spring is the change in the force it exerts, divided by the change in deflection of the spring. Vehicles which carry heavy loads will often have heavier springs to compensate for the additional weight that would otherwise collapse a vehicle to the bottom of its travel (stroke). Heavier springs are also used in performance applications where the loading conditions experienced are more extreme. Mathematics of the spring rate Spring rate is a ratio used to measure how resistant a spring is to being compressed or expanded during the spring's deflection. The magnitude of the spring force increases as deflection increases according to Hooke's Law. Briefly, this can be stated as where F is the force the spring exerts k is the spring rate of the spring. x is the displacement from equilibrium length i.e. the length at which the spring is neither compressed or stretched. Spring rate is confined to a narrow interval by the weight of the vehicle,load the vehicle will carry, and to a lesser extent by suspension geometry and performance desires. Spring rates typically have units of N/mm (or lbf/in). An example of a linear spring rate is 500 lbf/in. For every inch the spring is compressed, it exerts 500 lbf. A non-linear spring rate is one for which the relation between the spring's compression and the force exerted cannot be fitted adequately to a linear model. For example, the first inch exerts 500 lbf force, the second inch exerts an additional 550 lbf (for a total of 1050 lbf), the third inch exerts another 600 lbf (for a total of 1650 lbf). In contrast a 500 lbf/in linear spring compressed to 3 inches will only exert 1500 lbf. The spring rate of a coil spring may be calculated by a simple algebraic equation or it may be measured in a spring testing machine. The spring constant k can be calculated as follows:
  • 6. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1970 where d is the wire diameter, G is the spring's shear modulus (e.g., about 12,000,000 lbf/in² or 80 GPa for steel), and N is the number of wraps and D is the diameter of the coil. Roll Rate Roll rate is analogous to a vehicle's ride rate, but for actions that include lateral accelerations, causing a vehicle's sprung mass to roll. It is expressed as torque per degree of roll of the vehicle sprung mass. It is influenced by factors including but not limited to vehicle sprung mass, track width, CG height, spring and damper rates, anti-roll bar stiffness and tire pressure/construction. The roll rate of a vehicle can, and usually differs front to rear, which allows for the tuning ability of a vehicle for transient and steady state handling. The roll rate of a vehicle does not change the total amount of weight transfer on the vehicle, but shifts the speed at which and percentage of weight transferred on a particular axle to another axle through the vehicle chassis. Generally, the higher the roll rate on an axle of a vehicle, the faster and higher percentage the weight transfer on that axle. Sprung weight transfer Sprung weight transfer is the weight transferred by only the weight of the vehicle resting on the springs, not the total vehicle weight. Calculating this requires knowing the vehicle's sprung weight (total weight less the unsprung weight), the front and rear roll center heights and the sprung center of gravity height (used to calculate the roll moment arm length). Calculating the front and rear sprung weight transfer will also require knowing the roll couple percentage. The roll axis is the line through the front and rear roll centers that the vehicle rolls around during cornering. The distance from this axis to the sprung center of gravity height is the roll moment arm length. The total sprung weight transfer is equal to the G-force times the sprung weight times the roll moment arm length divided by the effective track width. The front sprung weight transfer is calculated by multiplying the roll couple percentage times the total sprung weight transfer. The rear is the total minus the front transfer. Jacking forces Jacking forces are the sum of the vertical force components experienced by the suspension links. The resultant force acts to lift the sprung mass if the roll center is above ground, or compress it if underground. Generally, the higher the roll center, the more jacking force is experienced. Damping Damping is the control of motion or oscillation, as seen with the use of hydraulic gates and valves in a vehicles shock absorber. This may also vary, intentionally or unintentionally. Like spring rate, the optimal damping for comfort may be less than for control. Damping controls the travel speed and resistance of the vehicle's suspension. An
  • 7. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1971 undamped car will oscillate up and down. With proper damping levels, the car will settle back to a normal state in a minimal amount of time. Most damping in modern vehicles can be controlled by increasing or decreasing the resistance to fluid flow in the shock absorber. DESIGN OF A SUSPENSION IN CATIA: ANSYS RESULTS: Shock absorber static analysis with aluminium 5000N
  • 8. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1972 Model (B4) > Mesh > Figure Equivalent Stress > Figure Total Deformation > Figure Static analysis with steel 5000N Equivalent Stress > Figure Total Deformation > Figure
  • 9. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1973 RESULTS TABLE MATERIAL STRES S (PAS) DEFORAMTIO N (M) STEEL 7.057 3.9449 ALUMINIU M 7.066 1.106 CONCLUSION: It is imported to ANSYS analysis software where the desired stress and deformation by static analysis and results are obtained for further comparison to get a conclusion. The results show the reduction in overall stress and deflection of spring for chosen materials. In this aluminium is less compared with steel in static analysis by deformation according to above results table. According to the two materials when can consider the steel alloy first and aluminium alloy next. So we used both the materials in the shock absorbers manufacturing process of the parts. REFERENCES [1] Pinjarla.Poormohan and Lakshmana Kishore T, “Design and Analysis of a Shock Absorber”, International Journal of Research in Engineering and Technology, ISSN: 2319-1163, Volume: 1, Issue: 4, pp.578-592, December 2012 [2] Kommalapati. Rameshbabu, Tippa Bhimasankar Rao, “Design Evaluation of a two wheeler suspension system for variable load conditions” International Journal of Computational Engineering Research, Vol 03, Issue 4, pp. 279-283 , 2013 [3] Gajendra Singh Rathore and Upendra Kumar Joshi, “Fatigue Stress analysis of helical Compression Spring: A Review”, International Journal of Emerging Trends in Engineering and Development, ISSN: 2249-6149, Volume: 2, Issue: 3, pp. 512- 520, May 2013 [4] B. Pyttel, I. Brunner, B. Kaiser, C. Berger, M. Mahendran, “Fatigue behaviour of helical compression springs at a very high number of cycles– Investigation of various influences”, International Journal of Fatigue (2013), S0142- 1123(13)00017-0, JIJF 3037.
  • 10. International Journal of Research Available at https://edupediapublications.org/journals e-ISSN: 2348-6848 p-ISSN: 2348-795X Volume 05 Issue 15 May 2018 Available online: https://edupediapublications.org/journals/index.php/IJR/ P a g e | 1974 [5] Brita Pyttel, K K Ray, Isabell Brunner, Abhishek Tiwari, S. A. Kaoua. “Investigation of probable failure position in helical compression springs used in fuel injection system of diesel engines”, IOSR Journal of Mechanical and Civil Engineering (IOSRJMCE) ISSN: 2278- 1684 Volume 2, Issue 3 (Sep-Oct. 2012), PP 24-29. [6] Mehdi Bakhshesh and Majid Bakhshesh., “Optimization of Steel Helical Spring by Composite Spring”, International journal of multidisciplinary science and engineering, vol.3, No.6, june 2012.