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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 201
DESIGN AND ANALYSIS OF SHOCK ABSORBER
1A. Chinnamahammad bhasha, 2N. Vijay rami reddy, 3B. Rajnaveen
1 M.Tech Student, Dept of ME, Vignan University, India.
23Asst proof, Dept of ME, Mahatma Gandhi Institute of Technology, Hyd, India.
-------------------------------------------------------------------***-------------------------------------------------------------
Abstract -Shock absorber is a mechanical device designed
to smooth out or damp shock impulse, and dissipate kinetic
energy. 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. In this work suspension system is designed
and a 3D model is created using CATIA V5 R21. The model is
also changed by changing the thickness of the spring.
Structural analysis and modal analysis are done on the
shock absorber by varying different spring materials. Spring
materials are Spring Steel, Phosphor bronze, Beryllium
Copper and Titanium alloy. To validate the strength of the
model, the structural analysis on the helical spring was
done. The analysis is done by considering loads, bike weight,
and single, double riding. Modal analysis is done to
determine the displacements for different frequencies for
number of modes. Finally comparison is done for different
materials to verify best material for spring in Shock
absorber. Modeling is done in CATIA and analysis is done in
ANSYS.
Keywords: Static, Transient Dynamic, Buckling, CATIA
V5 R21, ANSYS.
I.INTRODUCTION
A shock absorber or damper is a mechanical device
designed to smooth out or damp shock impulse, and
dissipate kinetic energy. Pneumatic and hydraulic
shock absorbers commonly take the form of a
cylinder with a sliding piston inside. The cylinder is
filled with a fluid (such as hydraulic fluid) or air. This
fluid-filled piston/cylinder combination is a dashpot.
The shock absorbers duty is to absorb or dissipate
energy. These are an important part of automobile
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 commuter railroads and rapid transit
systems because they prevent railcars from damage
station platforms. In a vehicle, it reduces the effect of
traveling over rough ground, leading to improved
ride quality, and increase 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. Damp the motion of the upspring
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 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 springsonly
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.
There are a number of different methods of
converting an impact /collision into relatively
smooth cushioned contact.
 Metal Spring
 Rubber Buffer
 Hydraulic Dashpot
 Collapsing safety Shock Absorbers
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 202
 Pneumatic Cylinders
 Self compensating Hydraulic
II. DESIGN CALCULATIONS FOR HELICAL SPRINGS
FOR SHOCK ABSORBERS
Material: Steel (modulus of rigidity) (G) = 41000
N/mm2
Mean diameter of a coil (D) = 62mm
Diameter of wire (d) = 8mm
Total no of coils (n1) = 18 Height (h) = 220mm
Outer diameter of spring coil (D0) = D +d =70mm
No of active turns (n) = 14
Weight of bike (w) = 125kgs
Let weight of 1 person = 75Kgs
Weight of 2 persons = 75×2=150Kgs
Weight of bike + persons = 275Kgs
Rear suspension = 65%
65% of 275 = 165Kgs
Considering dynamic loads it will be double
(W) = 330Kgs = 3234N
For single shock absorber weight = (w/2) = 1617N =
(W)
Spring index© = 7.75 = 8
Solid length (Ls) = n1×d =18×8 = 144 mm
Free length of spring (Lf)
(Lf) = solid length + maximum compression +
clearance between adjustable coils
(Lf) = 144 + 282.698 + 0.15 × 282.698
(Lf) = 469.102
Spring rate (K) = 5.719 Pitch of coil,
Stresses in helical springs (P) = 26
Maximum shear stress induced in the wire (τ) =
499.519 N/mm2
Values of buckling factor (KB) = 0.05 (for hinged and
spring)
The buckling factor for the hinged end and built-in
end springs (Wcr) = 5.719×0.05×469.102=134.139N
III.DESIGN PROCEDURE FOR SHOCK ABSORBER
3.1 Design of upper mount
Draw a circle with 60mm diameter and 30mm
diameter, thickness 10mm, rectangle length 50 mm
and width 25mm
Fig.3.1 Design of upper mount
3.2 DESIGN OF BOTTOM MOUNT
Draw a circle with 160mm diameter and 150mm
diameter, thickness 20mm, rectangle length 80 mm
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 203
Fig.3.2. Design of bottom mounts
3.3 Design of oil Pad
Draw a circle of 80 mm diameter, length of 180 mm,
the helix of pitch 15 mm, a circle of 20 mm diameter,
depth 150mm.
Fig.3.3. Design of oil Pad
3.4 Design of Rod
Draw a circle of 20 mm diameter, 300 mm length, a
pitch of 50 mm and height of 400 mm
Fig.3.4. Design of oil Pad
3.4 Assembly Module
 In the Assembly module of CATIA insert all
the existing such as upper mount, lower
mount, strip rod, spring and oil Pad.
 Assemble it step by step by using different
tools like coincide, offset, and contact
constrain, Manipulation, Smart Move and
Etc….. As shown in below.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 204
Fig.3.5 different engineering materials
present in CATIA V5 R21.
IV.INTRODUCTION TO ANSYS
Finite Element Analysis is a numerical method of
deconstructing a complex system into very small
pieces (of user-designated size) called elements. The
software Implements equations that govern the
behavior of these elements and solves them all;
creating a comprehensive explanation of how the
system acts as a whole. These results then can be
presented in tabulated or graphical forms.
4.1. STEPS IN FINITE ELEMENT ANALYSIS:
STEP 1:
First the domain is represented as finite
elements. This is called descritization of domain.
Mesh generation programs called processors, help in
dividing the structure.
STEP 2:
Formulate the properties of each element in
stress analysis. It means determining the nodal loads
associated with all element deformation stress that is
allowed.
STEP 3:
Assemble elements to obtain the finite
element model of the structure.
STEP 4:
Apply the known loads, nodal forces in stress
analysis. In stress analysis the support of the
structure has to be specified.
STEP 5:
Solve simultaneous line algebraic equations
to determine nodal displacements in the stress
analysis.
STEP 6:
Postprocessors help the user to sort the
output and display in the graphical output form.
A typical finite element model is comprised of
nodes, degrees of freedom, elements material
properties, externally applied loads and analysis
type.
The finite element method is a numerical
analysis technique for obtaining approximate
solutions to a wide range of engineering problems.
4.2. ASSUMPTIONS IN FEA
The four primary assumptions, which must be
considered in any Finite element based solution, be it
structural, electromagnetic, fluid flow or
manufacturing simulation is:
1. Geometry
2. Material properties
3. Mesh
4. Boundary conditions
 Import the model in to the geometry section
of the ANSYS work bench as shown below.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 205
4.3. Material Properties
Sl.n
o
Material Young’s
Modulus
(N/mm2)
Density(K
g/mm3)
Poisson’
s ratio
1 Spring steel 202000 7820 0.292
2 Phosphor
Bronze
103000 8160 0.34
3 Copper alloy 130000 8100 0.285
4 Titanium
alloy
102000 4850 0.3
Generate the mesh of the imported component as
shown below.
Insert the Fixed support at one end and force of 1000
N at one end as shown below.
Directional Deformation
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 206
Maximum Principal Stress
Equivalent Stress
Total Deformation.
V. RESULTS AND DISCUSSION
In this project the helical spring of a shock absorber
by using 3D parametric software CATIA. And also the
analysis was performed by using ANSYS is a general
purpose finite element analysis (FEA) software
package. To validate the strength of the model, the
structural analysis on the helical spring was done by
varying different spring materials like steel, titanium
alloy, copper alloy and Phosphor bronze Modal
analysis is done to determine the displacements for
different frequencies for Number of modes. The
maximum displacements and stress intensities of the
respective materials are given below. To validate the
strength of our design, we have done structural
Analysis.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 207
I. Materials are Spring Steel, Phosphor Bronze,
Beryllium Copper and Titanium alloy.
II. The stress intensity and displacement
vectors are less for titanium alloy than other
materials. So, the best material for spring is
titanium alloy.
III. Also the shock absorber design is modified
by reducing the diameter of spring by 2mm
and structural, modal analysis is done on the
shock absorber. By reducing the diameter,
the weight of the spring reduces. By
comparing the results for different materials,
the stress value is less for Titanium alloy
than Beryllium Copper, phosphor Bronze and
spring steel.
IV. By comparing the results for present design
and modified design, the stress and
displacement values are less for modified
design.
V. So we can conclude that as per our analysis
using material Titanium alloy for spring is
best and also our modified design is safe.
VI. From the analysis results it is clear that the
optimal stress intensities & maximum
displacement values are obtained for the
titanium alloy material.
VII. Therefore, when the availability of titanium
alloy is more and cost of titanium material is
affordable then the scope of materials for
springs with titanium alloy is preferable.
VII.REFERENCES
I. Machine design by R.S.KURMI
II. PSG, 2008.”DESIGN DATA,” kalaikathir
achachgam publishers, COIMBATORE, INDIA
III. Automobile Engineering by R.B.Gupta
IV. Automobile Engineering by G.B.S. Narang.
V. Automobile Servicing and Maintenance by
K.Ashrif Ali
VI. Automotive Maintenance and Trouble
Shooting by Ernest Venk,& Edward D. Spicer
VII. www.alibaba.com
VIII. En.wikipedia.org/coil springs.
IX. En.wikipedia.org/history of helical spring.
X. En.wikipedia.org/
Sl.
N
o
parameters Titaniu
m alloy
Phospho
r bronze
Berylliu
m
Copper
Spring
steel
1 Maximum
displaceme
nt (mm)
2.6326 4.9247 4.8582 3.0123
2 Maximum
stress
intensity
(N/mm2)
36.102 36.5865 36.4637 36.4265

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Design and Analysis Of Shock Absorber

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 201 DESIGN AND ANALYSIS OF SHOCK ABSORBER 1A. Chinnamahammad bhasha, 2N. Vijay rami reddy, 3B. Rajnaveen 1 M.Tech Student, Dept of ME, Vignan University, India. 23Asst proof, Dept of ME, Mahatma Gandhi Institute of Technology, Hyd, India. -------------------------------------------------------------------***------------------------------------------------------------- Abstract -Shock absorber is a mechanical device designed to smooth out or damp shock impulse, and dissipate kinetic energy. 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. In this work suspension system is designed and a 3D model is created using CATIA V5 R21. The model is also changed by changing the thickness of the spring. Structural analysis and modal analysis are done on the shock absorber by varying different spring materials. Spring materials are Spring Steel, Phosphor bronze, Beryllium Copper and Titanium alloy. To validate the strength of the model, the structural analysis on the helical spring was done. The analysis is done by considering loads, bike weight, and single, double riding. Modal analysis is done to determine the displacements for different frequencies for number of modes. Finally comparison is done for different materials to verify best material for spring in Shock absorber. Modeling is done in CATIA and analysis is done in ANSYS. Keywords: Static, Transient Dynamic, Buckling, CATIA V5 R21, ANSYS. I.INTRODUCTION A shock absorber or damper is a mechanical device designed to smooth out or damp shock impulse, and dissipate kinetic energy. Pneumatic and hydraulic shock absorbers commonly take the form of a cylinder with a sliding piston inside. The cylinder is filled with a fluid (such as hydraulic fluid) or air. This fluid-filled piston/cylinder combination is a dashpot. The shock absorbers duty is to absorb or dissipate energy. These are an important part of automobile 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 commuter railroads and rapid transit systems because they prevent railcars from damage station platforms. In a vehicle, it reduces the effect of traveling over rough ground, leading to improved ride quality, and increase 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. Damp the motion of the upspring 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 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 springsonly 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. There are a number of different methods of converting an impact /collision into relatively smooth cushioned contact.  Metal Spring  Rubber Buffer  Hydraulic Dashpot  Collapsing safety Shock Absorbers
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 202  Pneumatic Cylinders  Self compensating Hydraulic II. DESIGN CALCULATIONS FOR HELICAL SPRINGS FOR SHOCK ABSORBERS Material: Steel (modulus of rigidity) (G) = 41000 N/mm2 Mean diameter of a coil (D) = 62mm Diameter of wire (d) = 8mm Total no of coils (n1) = 18 Height (h) = 220mm Outer diameter of spring coil (D0) = D +d =70mm No of active turns (n) = 14 Weight of bike (w) = 125kgs Let weight of 1 person = 75Kgs Weight of 2 persons = 75×2=150Kgs Weight of bike + persons = 275Kgs Rear suspension = 65% 65% of 275 = 165Kgs Considering dynamic loads it will be double (W) = 330Kgs = 3234N For single shock absorber weight = (w/2) = 1617N = (W) Spring index© = 7.75 = 8 Solid length (Ls) = n1×d =18×8 = 144 mm Free length of spring (Lf) (Lf) = solid length + maximum compression + clearance between adjustable coils (Lf) = 144 + 282.698 + 0.15 × 282.698 (Lf) = 469.102 Spring rate (K) = 5.719 Pitch of coil, Stresses in helical springs (P) = 26 Maximum shear stress induced in the wire (τ) = 499.519 N/mm2 Values of buckling factor (KB) = 0.05 (for hinged and spring) The buckling factor for the hinged end and built-in end springs (Wcr) = 5.719×0.05×469.102=134.139N III.DESIGN PROCEDURE FOR SHOCK ABSORBER 3.1 Design of upper mount Draw a circle with 60mm diameter and 30mm diameter, thickness 10mm, rectangle length 50 mm and width 25mm Fig.3.1 Design of upper mount 3.2 DESIGN OF BOTTOM MOUNT Draw a circle with 160mm diameter and 150mm diameter, thickness 20mm, rectangle length 80 mm
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 203 Fig.3.2. Design of bottom mounts 3.3 Design of oil Pad Draw a circle of 80 mm diameter, length of 180 mm, the helix of pitch 15 mm, a circle of 20 mm diameter, depth 150mm. Fig.3.3. Design of oil Pad 3.4 Design of Rod Draw a circle of 20 mm diameter, 300 mm length, a pitch of 50 mm and height of 400 mm Fig.3.4. Design of oil Pad 3.4 Assembly Module  In the Assembly module of CATIA insert all the existing such as upper mount, lower mount, strip rod, spring and oil Pad.  Assemble it step by step by using different tools like coincide, offset, and contact constrain, Manipulation, Smart Move and Etc….. As shown in below.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 204 Fig.3.5 different engineering materials present in CATIA V5 R21. IV.INTRODUCTION TO ANSYS Finite Element Analysis is a numerical method of deconstructing a complex system into very small pieces (of user-designated size) called elements. The software Implements equations that govern the behavior of these elements and solves them all; creating a comprehensive explanation of how the system acts as a whole. These results then can be presented in tabulated or graphical forms. 4.1. STEPS IN FINITE ELEMENT ANALYSIS: STEP 1: First the domain is represented as finite elements. This is called descritization of domain. Mesh generation programs called processors, help in dividing the structure. STEP 2: Formulate the properties of each element in stress analysis. It means determining the nodal loads associated with all element deformation stress that is allowed. STEP 3: Assemble elements to obtain the finite element model of the structure. STEP 4: Apply the known loads, nodal forces in stress analysis. In stress analysis the support of the structure has to be specified. STEP 5: Solve simultaneous line algebraic equations to determine nodal displacements in the stress analysis. STEP 6: Postprocessors help the user to sort the output and display in the graphical output form. A typical finite element model is comprised of nodes, degrees of freedom, elements material properties, externally applied loads and analysis type. The finite element method is a numerical analysis technique for obtaining approximate solutions to a wide range of engineering problems. 4.2. ASSUMPTIONS IN FEA The four primary assumptions, which must be considered in any Finite element based solution, be it structural, electromagnetic, fluid flow or manufacturing simulation is: 1. Geometry 2. Material properties 3. Mesh 4. Boundary conditions  Import the model in to the geometry section of the ANSYS work bench as shown below.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 205 4.3. Material Properties Sl.n o Material Young’s Modulus (N/mm2) Density(K g/mm3) Poisson’ s ratio 1 Spring steel 202000 7820 0.292 2 Phosphor Bronze 103000 8160 0.34 3 Copper alloy 130000 8100 0.285 4 Titanium alloy 102000 4850 0.3 Generate the mesh of the imported component as shown below. Insert the Fixed support at one end and force of 1000 N at one end as shown below. Directional Deformation
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 206 Maximum Principal Stress Equivalent Stress Total Deformation. V. RESULTS AND DISCUSSION In this project the helical spring of a shock absorber by using 3D parametric software CATIA. And also the analysis was performed by using ANSYS is a general purpose finite element analysis (FEA) software package. To validate the strength of the model, the structural analysis on the helical spring was done by varying different spring materials like steel, titanium alloy, copper alloy and Phosphor bronze Modal analysis is done to determine the displacements for different frequencies for Number of modes. The maximum displacements and stress intensities of the respective materials are given below. To validate the strength of our design, we have done structural Analysis.
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 01 | Jan -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 207 I. Materials are Spring Steel, Phosphor Bronze, Beryllium Copper and Titanium alloy. II. The stress intensity and displacement vectors are less for titanium alloy than other materials. So, the best material for spring is titanium alloy. III. Also the shock absorber design is modified by reducing the diameter of spring by 2mm and structural, modal analysis is done on the shock absorber. By reducing the diameter, the weight of the spring reduces. By comparing the results for different materials, the stress value is less for Titanium alloy than Beryllium Copper, phosphor Bronze and spring steel. IV. By comparing the results for present design and modified design, the stress and displacement values are less for modified design. V. So we can conclude that as per our analysis using material Titanium alloy for spring is best and also our modified design is safe. VI. From the analysis results it is clear that the optimal stress intensities & maximum displacement values are obtained for the titanium alloy material. VII. Therefore, when the availability of titanium alloy is more and cost of titanium material is affordable then the scope of materials for springs with titanium alloy is preferable. VII.REFERENCES I. Machine design by R.S.KURMI II. PSG, 2008.”DESIGN DATA,” kalaikathir achachgam publishers, COIMBATORE, INDIA III. Automobile Engineering by R.B.Gupta IV. Automobile Engineering by G.B.S. Narang. V. Automobile Servicing and Maintenance by K.Ashrif Ali VI. Automotive Maintenance and Trouble Shooting by Ernest Venk,& Edward D. Spicer VII. www.alibaba.com VIII. En.wikipedia.org/coil springs. IX. En.wikipedia.org/history of helical spring. X. En.wikipedia.org/ Sl. N o parameters Titaniu m alloy Phospho r bronze Berylliu m Copper Spring steel 1 Maximum displaceme nt (mm) 2.6326 4.9247 4.8582 3.0123 2 Maximum stress intensity (N/mm2) 36.102 36.5865 36.4637 36.4265