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DOI: 10.23883/IJRTER.2017.3234.XGEI5 350
Design Analysis and Experimental investigation of Composite Mono
Leaf spring
Prof. Gayatri J. Abhyankar1, Vaibhav Holkar
2, Bhiva Malkar
3, Ganesh Sutar
4, Rajesh teli
5
1,2,3,4,5Professor of mechanical engineering, Finolex Academy of Management and Technology,
Ratnagiri
Abstract: Reducing weight while increasing or maintaining strength of products is getting to be
highly important research issue in this modern world. Composite materials are one of the material
families which are attracting researchers and being solutions of such issue. The Automobile Industry
has great interest for replacement of steel leaf spring with that of composite leaf spring, since the
composite materials has high strength to weight ratio, good corrosion resistance. The material
selected was glass fiber reinforced polymer (E-glass/epoxy). The design parameters were selected
and analyzed with the objective of minimizing weight of the composite leaf spring as compared to
the steel leaf spring.
The work also gives focus on the application of FEA concept to compare two materials for leaf
spring and propose the one having higher strength to weight ratio. Two materials used for
comparison are; conventional steel and composite E-Glass/Epoxy. The deflection and bending
stresses induced in the two leaf springs are compared. The solid modelling of leaf spring is done in
SOLIDWORKS and analyses using ANSYS (WORKBENCH) 16.2. In addition to this
experimentation is done on the UTM.
Keywords—E-Glass/Epoxy, Leaf spring, SOLIDWORKS, Ansys 16.2 (Workbench).
I. INTRODUCTION Suspension system of any vehicles contains leaf spring to absorb jolts. Leaf springs are mainly used
in suspension systems to absorb shock loads in automobiles like light motor vehicles, heavy duty
trucks and in rail systems. It carries lateral loads, brake torque, driving torque in addition to shock
absorbing. The advantage of leaf spring over helical spring is that the ends of the spring may be
guided along a definite path as it deflects to act as a structural member in addition to energy
absorbing device .The vehicles must have a good suspension system that can deliver a good ride and
good human comfort. It is observed that the failure of steel leaf springs is usually catastrophic.
According to studies made for leaf spring the for weight reduction in automobiles as it leads to the
reduction of un-sprung weight of automobile. The elements whose weight is not transmitted to the
suspension spring are called the unsprung elements of the automobile. This includes wheel assembly,
axles, and part of the weight of suspension spring and shock absorbers. The leaf spring accounts for
10-20% 0f the un-sprung weight. Material with maximum strength and minimum modulus of
elasticity in the longitudinal direction is the most suitable material.
To meet the need of natural resources conservation, automobile manufacturers are attempting to
reduce the weight of vehicles in recent years. Weight reduction can be achieved primarily by the
introduction of better material, design optimization and better manufacturing processes. In order to
reduce the accidents, arising out of such failures conventional steel leaf spring can be replaced with
gradually failing composite leaf springs. By doing this, the weight of the vehicle may also be
reduced while maintaining the strength of the leaf spring. A composite material is nothing but
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
permutation of two materials that produce an effect so that the combination produces combined
properties that are different from any of those of its constituents. This is done purposefully in today’s
scenario to achieve different design, manufacturing as well as service advantages of product. In this
paper leaf spring is representative of those products, for which automobile manufacturers are
working to get best composite material that meets the current requirement of strength and weight
reduction in one, to replace the existing steel leaf spring. The objective of the paper is to design leaf
springs for deflection and bending stress made of steel and composite material.
II. OBJECTIVE
In order to safeguard natural resources and economize energy, weight reduction has been the main
focus of automobile manufacturers in the present development. The introduction of better material,
design optimization and better manufacturing processes can cause weight reduction in vehicle. The
leaf spring is one of the potential items for weight reduction in automobile as it accounts for ten to
twenty percent of the un-sprung weight.
1) To achieve substantial weight reduction in the suspension system.
2) Comparison of the results of standard Steel leaf spring and composite leaf spring.
3) Validation of results by theoretical calculations and experimentation on UTM.
4) Static analysis of standard Steel leaf spring and composite E-glass/Epoxy leaf spring using
FEA. Finding out the deflection and bending stress for the same.
III. DESIGN OF LEAF SPRING Mahindra Bolero Pick up FB PS specifications:
Kerb weight = 1725 kg
Load carrying capacity = 1250 Kg
Gross weight of vehicle (m) = 1725+1250
=2975 Kg
Taking factor of safety (FOS) = 1.3
Acceleration due to gravity (a) = 9.81 m/s^2
Therefore,
Total weight W = m × a × FOS
=2975×9.81×1.3
=37940.175 N
=
= 9485.04 N
Fig 1. Cantilever leaf
The table I below shows the specifications of conventional leaf spring for selected vehicle:
Parameter Value
Length of the master leaf spring (2L) 900 mm
Mass of the master leaf spring 2.0875 Kg
Thickness (t) 8 mm
Width (b) 60 mm
International Journal of Recent Trends in Engineering & Research (IJRTER)
For steel leaf spring
The mechanical Properties of conventional steel are as shown in table II below;
Mech anical Properties of EN 47 Steel
Properties Values
Young’s modulus 200000
Tensile strength 650
Elongation 8-
Fatigue 275
Yield strength 350
Density 7700
Deflection of the leaf spring is given by,
= -------------
Bending stress in the leaf spring is given by,
Let, W-Load on vehicle (N) L- Length of spring (mm) n
E-Young Modulus (MPa) b- Width of leaf spring (mm) t
(mm) σ- Bending Stress (MPa)
For manufacturing of composite leaf spring, we selected E glass/Epoxy composite material the
properties of the material are mentione
Sr.no.
1 Tensile modulus along X
2 Tensile modulus along Y
3 Tensile modulus along Z
4 Tensile strength of the material
5 Compressive strength of the material
6 Shear modulus (Gxy)
7 Shear modulus (Gyz)
8 Shear modulus (Gzx)
9 Poisson ratio along XY
10 Poisson ratio along YZ
11 Poisson ratio along ZX
12 Mass density of the material (
13 Flexural modulus of the material
14 Flexural strength of the material
By using the equation I and II the maximum deflection and maximum stress for steel leaf are
calculated and using these values thickness of the composite leaf is calculated by keeping width
constant and select the maximum thickness.
The values are,
E= 34000 N/mm^2
IV.
Finite element analysis is a computer based analysis technique for calculating the strength and
behavior of structures. In the FEM the structure is represented as finite
joined at particular points which are called as nodes. The FEA is used to calculate the deflection,
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455
The mechanical Properties of conventional steel are as shown in table II below;
anical Properties of EN 47 Steel
Values Unit
200000 Mpa
650-880 Mpa
-25 %
275 Mpa
350-550 Mpa
7700 Kg/m^3
Deflection of the leaf spring is given by,
-------------I
Bending stress in the leaf spring is given by,
σ = -------------------II
Length of spring (mm) n- No. of spring
Width of leaf spring (mm) t- Thickness (mm) δ- Deflection of spring
For manufacturing of composite leaf spring, we selected E glass/Epoxy composite material the
properties of the material are mentioned in table below in table. [1]
Properties Value
Tensile modulus along X-direction (Ex) 34000 MPa
Tensile modulus along Y-direction (Ey) 6530 MPa
Tensile modulus along Z-direction (Ez) 6530 MPa
Tensile strength of the material 900 MPa
Compressive strength of the material 450 MPa
Shear modulus (Gxy) 2433 MPa
Shear modulus (Gyz) 1698 MPa
Shear modulus (Gzx) 2433 MPa
Poisson ratio along XY-direction(μxy) 0.217
Poisson ratio along YZ-direction (μyz) 0.366
Poisson ratio along ZX-direction (μzx) 0.217
Mass density of the material (ρ) 2.6*10^6 kg/mm3
Flexural modulus of the material 40000
Flexural strength of the material 1200
By using the equation I and II the maximum deflection and maximum stress for steel leaf are
calculated and using these values thickness of the composite leaf is calculated by keeping width
constant and select the maximum thickness.
E= 34000 N/mm^2 t = 15mm
FINITE ELEMENT ANALYSIS
Finite element analysis is a computer based analysis technique for calculating the strength and
behavior of structures. In the FEM the structure is represented as finite elements. These elements are
joined at particular points which are called as nodes. The FEA is used to calculate the deflection,
International Journal of Recent Trends in Engineering & Research (IJRTER)
[ISSN: 2455-1457]
Deflection of spring
For manufacturing of composite leaf spring, we selected E glass/Epoxy composite material the
By using the equation I and II the maximum deflection and maximum stress for steel leaf are
calculated and using these values thickness of the composite leaf is calculated by keeping width
Finite element analysis is a computer based analysis technique for calculating the strength and
elements. These elements are
joined at particular points which are called as nodes. The FEA is used to calculate the deflection,
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
@IJRTER-2017, All Rights Reserved 353
stresses, strains temperature, buckling behavior of the member. In our project FEA is carried out by
using the ANSYS 16.2. Initially we don’t know the displacement and other quantities like strains,
stresses which are then calculated from nodal displacement.
Finite Element Analysis is a simulation technique which evaluates the behavior of components,
equipment and structures for various loading conditions including applied forces, pressures and
temperatures. Thus a complex engineering problem with non-standard shape and geometry can be
solved using finite element analysis where a closed form solution is not available. The finite element
analysis methods provide results of stress distribution, displacements and reaction loads at supports
etc. for the model.
Static analysis: A static analysis is used to determine the displacements, stresses, strains and forces in structures or
components caused by loads that do not induce significant inertia and damping effects. A static
analysis can however include steady inertia loads such as gravity, spinning and time varying loads.
In static analysis loading and response conditions are assumed, that is the loads and the structure
responses are assumed to vary slowly with respect to time. The kinds of loading that can be applied
in static analysis includes externally applied forces, moments and pressures, steady state inertial
forces such as gravity and spinning Imposed non-zero displacements. If the stress values obtained in
this analysis crosses the allowable values it will result in the failure of the structure in the static
condition itself. To avoid such a failure, this analysis is necessary.
Stepwise procedure for the static analysis of the leaf spring: 1) Prepare a geometric model of leaf spring by using solid works or other modelling software as
per the designed dimension. This geometric model is save in step file format.
2) Open the ANSYS Workbench 16.2, select static structural ANSYS system and drag into the
work place.
3) Update engineering data. For composite leaf spring, add the new material as E-glass fiber
with its mechanical properties.
4) Import geometry and slice is into two parts and supress the left half section.
5) Modelling : a) Meshing
b) Application of fixed support and force.
6) Solve.
7) Get the result.
The FEA of the leaf spring of both the materials are carried out and obtained results for deformation
and Equivalent von misses stresses in the leaf spring for different loads. The fig. shows the results
for deformation and Equivalent von misses stresses in both conventional and composite leaf springs.
The results are for design load i.e. 9485 N
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
@IJRTER-2017, All Rights Reserved 354
Fig 2. Deformation in steel leaf spring Fig 3. Equivalent (von-mises) stress in steel leaf
Spring
Fig 4. Deformation in E-glass fiber leaf spring Fig 5. Equivalent (von mises) stress in E-glass
fiber leaf spring
V. EXPERIMENTATION
The composite leaf springs are tested by using the UTM. The spring to be tested is examined for any
defects like cracks, surface abnormalities, etc. The spring is loaded from zero to the prescribed
maximum deflection and back to zero. The load is applied at the centre of spring; the vertical
deflection of the spring centre is recorded in the load interval of 1000 N. The supports are given at
the both end of using fixtures and the deflection of the spring centre is recorded.
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
Experimental Procedure 1. The spring is loaded from zero to the prescribed maximum deflection and back to zero.
2. The load is applied at the center of spring.
3. In the testing, firstly move the plunger up to desired height so that we can fix the fixture and
leaf spring for test.
4. Fix the position of fixture.
5. On the fixture place the specimen.
6. Set the universal testing machine.
7. Apply the load gradually from 0 KN upto the fracture occurs.
8. The vertical deflection of the spring Centre is recorded simultaneously
9. The results are obtained in the form of graph of Load Vs Deflection.
Test specimen before testing and the cracks occurred in the test specimen after the testing are shown
below:
Fig 6. Test specimen before testing
Fig 7. Crack at the center of leaf Fig 8. Crack at end of leaf
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
@IJRTER-2017, All Rights Reserved 356
VI. RESULT AND DISCUSSION
Percentage mass saving: The table shows the comparison between the mass of the steel Leaf spring and composite mono-leaf
spring.
Table 1: % Mass saving
1. Mass of the steel leaf spring 2.0875 Kg
2. Mass of the composite leaf spring 1.230 Kg
3. Percentage saving in mass 41.07 %
Above table shows that by using composite mono leaf spring 41.04% saving in mass is achieved.
Theoretical results: The theoretical values of the deflection and the stresses for steel leaf spring and E-glass fibre mono
leaf spring for the loads from 1000N to 10000N are tabulated in the table given below:
Table 2: Theoretical results for deflection and stress
Load (N)
Deflection (mm) Max. Stress (N/mm^2)
For EN47 steel
For E glass
Fibre
For EN47 steel
For E glass
Fibre
1000 59.32 52.94 703.125 200
2000 118.65 105.88 1406.25 400
3000 177.97 158.82 2109.37 600
4000 237.30 211.76 2812.5 800
5000 296.63 264.76 3515.65 1000
6000 355.95 317.64 4218.75 1200
7000 415.283 370.58 4921.87 1400
8000 474.63 423.52 5625 1600
9000 533.93 476.47 6328.12 1800
10000 593.26 529.41 7031.25 2000
The results obtained by theoretical calculation are represented on graphs as follows:
Plot of Load Vs Deflection (theoretical results) plot of Load Vs Max. stress (theoretical results)
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
@IJRTER-2017, All Rights Reserved 357
FEA results: Similarly the values of the deflection and maximum stresses for the steel leaf and composite mono
leaf spring obtained from the FEA analysis are tabulated in the table given below.
Table 3: ANSYS results for deflection and stress
Load
(N)
Deflection (mm) Max. Stress (N/mm^2)
For EN47 steel
For E glass
Fibre
For EN47 steel
For E glass
Fibre
1000 64.56 9.89 684 189.69
2000 129.14 19.67 1368 378.35
3000 193.7 29.67 2052 569.07
4000 258.27 39.53 2736 756.7
5000 322.84 49.95 3420 948.45
6000 387.41 59.29 4104 1135
7000 451.98 69.23 4788 1327
8000 516.55 79.06 5472 1513
9000 581.11 89.01 6156 1707.2
10000 645.68 98.09 6840 1891.17
The results obtained from the analysis of the leaf spring are represented on graphs as follows:
Plot of Load Vs Deflection (ANSYS results) Plot of Load Vs Max stress (ANSYS results)
Experimentation result:
The composite mono leaf spring is tested on the UTM, the results are obtained in the form of graph
of Load vs displacement.
International Journal of Recent Trends in Engineering & Research (IJRTER)
Volume 03, Issue 05; May - 2017 [ISSN: 2455-1457]
@IJRTER-2017, All Rights Reserved 358
Plot of Load Vs Cross head travel
VII. CONCLUSION As automobile world demands research of reducing weight and increasing strength of products,
composite material should be up to the mark of satisfying these demands. As leaf spring contributes
considerable amount of weight to the vehicle and needs to be strong enough, a single E-Glass/Epoxy
composite leaf spring is designed and analyzed following the design rules of composite materials.
� The mass of the Composite mono-leaf spring is reduced by 41.07%.
� From static analysis of standard steel leaf spring and composite E-glass fiber mono-leaf
spring using FEA, we found that deflection and max. stress in composite mono leaf spring is lesser
than conventional leaf spring hence conventional leaf spring can be easily replaced by composite
mono leaf spring.
� Experimentation shows that failure has occurred just before the designed load but by
increasing the thickness we can make it safe.
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