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IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE)
e-ISSN: 2278-1684,p-ISSN: 2320-334X, Volume 13, Issue 1 Ver. VI (Jan- Feb. 2015), PP 09-14
www.iosrjournals.org
DOI: 10.9790/1684-13160914 www.iosrjournals.org 9 | Page
Analytical and Experimental Studies on Steel and Composite
Mono Leaf Spring
Kiran K. Jadhao1
, Rajendra S. Dalu2
1
Mechanical Engineering Department, Babasaheb Naik College of Engineering, Pusad, India
Email:kkjadhao@gmail.com
2
Professor and Head, Mechanical Engineering, Govt.
College of Engineering, Amravati, India
Abstract: This paper describes static and fatigue analysis of steel and composite leaf spring made of E-glass
fiber/epoxy. The design parameters are considered to be same for both springs. Composite mono leaf spring
was fabricated utilizing hand lay- up technique with distinguishing different fiber orientation such as,
[0/45/0/45]s. The outcome of the experiment was validated by FEA. At full load, the stress in the composite leaf
spring observed was 53.06 % less than a steel leaf spring with higher stiffness. The conventional steel leaf
spring weighs about 10.5 kg, whereas the spring made with E-glass /epoxy weighs only 2.67 kg. Thus, weight
reduction of 74.49% was accomplished. The fatigue life of composite leaf spring (100000 cycles) spring was
more than that of conventional steel leaf spring. Study demonstrates that the composite can be used for leaf
spring for the light vehicle and meet the requirement, together with the sustainable weight reduction. Better
agreement between experimental result and FEA is observed.
Key words: Steel leaf spring, E-glass fiber/epoxy, Static analysis, Fatigue analysis, Finite element analysis.
I. Introduction
Increasing competition and innovations in automobile sector tends to modify the existing products or
replacing old products by new and advanced material products. A suspension system of vehicle is also an area
where these innovations are carried out regularly. The leaf spring used in vehicle should absorb vertical
vibration due to irregularities by means of deviation in the spring deflection, so that potential energy is stored in
the spring as strain energy and released slowly [1-4]. The composite material is having distinctive characteristic
such as, high strength to weight ratio, superior fatigue strength, excellent corrosion resistance beside this have
higher natural frequency thus , this makes composite materials are excellent for leaf spring. Main factor that
contribute fatigue failure that include number of cycles experienced, range of stress and mean stress experienced
in each load cycle. When leaf spring deflects, rubbing between upper and lower side is occurred and this
produce some damping, nevertheless, this induces squeaking sound and this in turn develop interleaf friction
between leaves will also cause fretting corrosion which reduce fatigue strength of leaf spring. So, the leaf
springs are more affected due to fatigue loads, as they are a part of the unsprung mass of the automobile. Due to
the cyclic load on a suspension system of vehicle it can be failed. Thus, fatigue study and life prediction on the
suspension system is crucial in order to verify the safety of suspension system during its operation. The fatigue
life in steel and glass fiber reinforced plastic was predicted using damage model [5].Three cumulative damage
models are examined for the case of cyclic loading of AISI 6150 steel, S2 fibre/epoxy and E glass fibre/epoxy
composites. A prediction of fatigue life of steel and composite leaf spring was presented based on applied stress
level. [6]. The dimensions of an existing conventional steel leaf spring of a light commercial vehicle are taken
and are verified by design calculations. Finite element approach for design and stress-deflection analysis of a
multi leaf spring using CAE tools. and indicates that when the leaf spring is fully loaded, a variation of 0.632
% in deflection is observed between the experimental and FEA result[7]. A static and fatigue analysis of steel
leaf spring and composite multi leaf spring made up of glass fibre reinforced polymer were described using life
data analysis[8]. In the present work, four-leaf steel spring used in light commercial vehicle is replaced with a
composite mono leaf spring made of glass/epoxy composites. The dimensions for both steel leaf spring and
composite leaf springs are considered to be the same.
II. Objectives
 Compare load carrying capacity, stiffness and weight savings of composite leaf spring with steel leaf spring
 Fabrication of E-glass/epoxy based composite mono leaf spring with [0/45/0/45],.
 To validate performance of steel and composite mono leaf spring for static analysis.
 To determine Fatigue life of composite leaf spring.
Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring
DOI: 10.9790/1684-13160914 www.iosrjournals.org 10 | Page
III. Methodlogy
3.1 Specification of conventional leaf spring
All leaf spring made up of various fine grade alloy steel. The test steel used for experimental work is made of
55SI2Mn90. The composition of material is 0.55C%,1.74 Si%,0.87 Mn%,0.1 Cr%,0.02 Mo%,0.05 P%, 0.05
S%.
Table 1.Specification of Existing steel leaf spring
Sr.no Parameters Value
total length (eye to eye) 860 mm
Arc height of axle seat (camber) 90 mm
spring rate 23.1 N/mm
number of full-length leaves 01
number of graduated leaves 03
width of leaves 60mm
thickness of each leaves 08 mm
full bump loading 2084N
spring weight 10.5 Kg;
Young's modulus 2.1x105
MPa
Available space for spring width 40-45 mm
3.2 Manufacturing of composite mono leaf spring
It is well known that the stored elastic strain energy in a leaf spring varies directly with the square of
maximum allowable stress and inversely with the modulus of elasticity both in longitudinal and transverse
directions according to equation (1)
S=
1σ2
2ρE
….. (1)
Strain energy stored by various composite material is illustrate in table1. As E-glass fiber has good
characteristic in direction of fiber and also have good storing strain energy. Composite materials can be tailored
to meet the particular requirements of stiffness and strength with varying lay-up and fiber orientations.
Table 2: Strain energy stored by various composite material
Sr.No. Material Strain Energy (k J/kg )
1 Steel 0.325
2 E-glass/Epoxy 4.5814
3 C-glass/Epoxy 18.76
4 S-2 glass/Epoxy 32.77
Table.3 : Mechanical properties of E-glass/Epoxy
Sr.No. Properties Value
1 Tensile modulus along X- direction (Ex), Mpa 34000
2 Tensile modulus along Y- direction (Ey), Mpa 6530
3 Tensile modulus along Z- direction (Ez), Mpa 6530
4 Shear modulus along XY-direction (Gxy),Mpa 2433
5 Shear modulus along YZ-direction (Gyz), Mpa 1698
6 Shear modulus along ZX-direction (Gzx), Mpa 2433
7 Poisson ratio along XY-direction (Nuxy) 0.217
8 Poisson ratio along YZ-direction (Nuyz) 0.366
9 Poisson ratio along ZX-direction (Nuzx) 0.217
10 Mass density of material (ρ), kg/mm3
2.6x10-6
11 Tensile strength of the material, MPa 900
12 Compressive strength of the material,MPa 610
13 Flexural strength of the material, MPa 1200
14 Flexural modulus of the material, MPa 4000
3.3 Fabrication of mono composite leaf spring using hand lay-up technique
Hand lay-up process is most appropriate because this does not require any skilled labor or rather
particular kind of tooling and equipment. Before fabrication A mold was made with the same dimension as that
of steel leaf spring. For that reason, mono composite leaf spring with constant width, thickness and constant
cross section area was taken throughout. The glass fiber was woven roving type with fiber orientation [0/45/-
45/0]s of 360 GSM was selected. In order to make solution for every 100 parts by weight of epoxy resin and 10-
12 parts by weight of hardener 758 is mixed thoroughly at a temperature of 20-40 0
C. During process, wooden
mold surface is finished by sand paper and made very smooth. the glass fiber was first sliced to sought in
lengths, so that they can deposited on a mold layer by layer according to stacking grouping in order to fabricate
mono composite leaf spring. The duration of the process may take 45 min. The mold was allowed to
cure.(Figure1) shows A typical fabricated mono composite leaf spring.
Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring
DOI: 10.9790/1684-13160914 www.iosrjournals.org 11 | Page
Figure1 Mono composite leaf spring
IV. Experimental procedure:
In this, Both the leaf spring s are tested under static loading condition and corresponding deflection and other
performance parameters are tabulated in table 2.& 3
4.1 Static analysis of leaf spring :Test equipment used is Servo hydraulic Actuator Test Rig , specification are
mentioned below:
Load Cell, HBM, ± 25 kN .
`Figure 2 . Servo hydraulic Actuator Test Rig
The deflection of both the spring for comparative study is taken on computerized servo test rig. In experiment
analysis the comparative study of e-glass/epoxy and steel leaf spring has been taken. Static strain measurement
was carried out using two strain gauge during the stiffness measurement. It was evident from Table.3 load,
deflection, and stiffness value during static testing of steel and composite mono leaf spring.
4.4. Finite element analysis of leaf spring
The axle seat is assumed to be fixed and static loading of 2084 N is applied at both end, assume spring
as simply supported beam, Both eye ends of leaf spring have flexibility to slide along X direction and as well it
can rotate about a pin in Z direction. shown in (Figure3). Therefore, the displacement at both eye ends is
constrained along X and Z direction. Since the properties of composite vary with the direction of fiber
orientation.
Figure. 3 Loading and boundary condition applied in analysis
Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring
DOI: 10.9790/1684-13160914 www.iosrjournals.org 12 | Page
Figure 4. Displacement contour for CLS Figure 5. Von Mises Stress distribution for CLS
Figure : Load Deflection curve
TABLE 2: Percent saving of weight using composite material
Parameter Multi steel leaf
spring
Composite mono leaf spring % Weight saving
Weight (kg) 10.5 2.67 74.49
TABLE3: Stress analysis of Multisteel leaf and E-glass/epoxy leaf spring
Parameters Multi steel leaf spring % Difference Composite mono leaf
spring
% Difference
Experiment FEA Experiment FEA
Load,(N) 2084 2084 Nil 2084 2084 Nil
Maximum Stress
(MPa)
480.34 450.38 6.2 211.4 200.7 5.06
Maximum
deflection (mm)
44 48 9.0 40
40.22
0.5
Maximum
stiffness
(N/mm)
44.34 43.41 2.09 52.1 51.81 0.5
4.2Analytical approach for fatigue life assessment of composite leaf spring by Hwang and Han Relation
Hwang and Han have developed an analytical model to predict the number of fatigue cycles to failure
for components made up of composite material. [6]
Hwang and Han relation : N = { B (1- r ) } 1/C
…….(1)
Where N= Number of cycles to failure, B=10.33,C=0.142, r = σmax / σUTS , σ max = Maximum stress, σUTS =
Ultimate tensile strength, r = Applied stress level, above equation is applied for different stress level and fatigue
life is calculated for CLS (Table 2 ). Based on the S-N graph (Fig 6 ) , it is observed that CLS , which is made
up of E-glass fiber/ epoxy is withstanding more than 10,0000 cycle under stress level of 0.43 from Hwang and
Han relation. The stress level of 0.43 is obtained is helpful for the determination of remaining number of cycles
to failure using fatigue model.[8.]
0
10
20
30
40
50
60
0 500 1000 1500 2000 2500
Deflectionmm
Load N
CLS SLS
Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring
DOI: 10.9790/1684-13160914 www.iosrjournals.org 13 | Page
TABLE 2: Fatigue life at different stress level of composite leaf spring
Maximum stress (MPa) Applied stress level Number of cycles to failure N
100 0.1 8143500
200 0.2 3515500
300 0.3 1354800
400 0.4 450900
500 0.5 122700
600 0.6 25000
700 0.7 3200
800 0.8 200
V. Result and discussion
The comparison analysis using experimental & FEA approach between steel leaf spring and composite
leaf spring for deflection, stress, stiffness and weight is illustrated in table 3&4 From (Figure 5) shows almost
linear characteristic for deflection.. As of the results of static analysis for composite leaf spring, it is seen that
the displacement spring is 40 mm which is well below the camber length of leaf spring this point towards 50%
enhancement in stiffness shown in table 3. It is observed that the maximum bending stress is about 211MPa. It is
seen that for steel leaf spring for stress range of 510MPa, its fatigue life is estimated as 100000 cycles. which is
less than fatigue life of composite leaf spring for applied stress level of 0.43.
Figure 7: Estimation of fatigue life cycles of steel leaf spring [9]
Figure 7: Applied stress Vs Number of cycle
0
200
400
600
800
1000
1200
1400
0 200 400 600 800
Maximumstress(MPa)
Intial Stress ( MPa )
e
a-30000
cycle
b-50 000
cycle
c- 75000
cycle
d-100 000
cycle
e-200 000
cycle
f-1000 000
cycle
Point of
intesection
of Intial
stress and
maximum
stress
indiacte life
expectancy
a
b
c
d
f
0
100
200
300
400
500
600
700
800
900
1000
-2000000 2000000 6000000 10000000
AlternatingStressMPa
Number of Cycle N
Stress ratio
0.43>100000
Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring
DOI: 10.9790/1684-13160914 www.iosrjournals.org 14 | Page
VI. Conclusion
Under the same static loading condition It can be observed from the comparison that the stresses
induced in the E-Glass/Epoxy composite leaf spring are less than the conventional steel leaf spring for the same
load carrying capacity. The composite mono leaf spring reduces the weight by 74.49% over the conventional
leaf spring. In addition to this, the composite leaf spring found higher stiffness than that of conventional leaf
spring. Moreover fatigue life of CLS predicted to be higher than that of SLS. So, it is observed that CLS is an
effective replacement for the conventional SLS.
References
Journal Papers:
[1]. Daugherty R.L., Composite leaf spring in heavy truck application, Composite Material Proceedings of Japan-US Conference Tokyo
1981, pp529-538
[2]. Andrea Corvi. A Preliminary Approach to Composite Beam Design using FEM Analysis. Composite Structure 1990, Vol 16, no. 5,
pp. 279–300, 1981.
[3]. Beardmore P, Johnson CF. The potential for composites in Structural automotive applications. Comp Science and Technology, Vol.
26, pp. 251–81,1986
[4]. Morris C. J Composite Integrated Rear Suspension. Composite structure Vol, 5, pp. 233-242, 1986.
[5]. Roselita Fragoudakis, Anil Saigal ,”Predicting the fatigue life in steel and glass fiber reinforced plastics using damage
models,”Material science and applications,2011,2,pp 596-604
[6]. M. Senthil Kumar, S. Vijayarangan, Analytical and Experimental Studies on Fatigue Life Prediction of Steel and Composite
Multi-leaf Spring for Light Passenger Vehicles. Journal of scientific and Industrial research 2007, ( 66) ,pp. 128-134.
[7]. Kumar Krishanan, M.L. Aggarwal, Computer Aided FEA Comparison of Mono Steel and Mono GRP Leaf Spring, International
Journal of Advance Engineering Research and Studies 2012, 1 (11), pp. 155-158.
[8]. Mouleeswaran Senthil Kumar, Sabapathy Vijayarangan , “Analytical and Experimental Studies on Fatigue Life Prediction of Steel
and Composite Multi-leaf Spring for Light Passenger Vehicles Using Life Data Analysis” ISSN 1392–1320, Materials Science .
Vol. 13, No. 2.2007.
Books:
[9]. SAE ,Spring Design Manual –Design and Application of Leaf Springs, HS-744,AE,1990

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B013160914

  • 1. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-ISSN: 2278-1684,p-ISSN: 2320-334X, Volume 13, Issue 1 Ver. VI (Jan- Feb. 2015), PP 09-14 www.iosrjournals.org DOI: 10.9790/1684-13160914 www.iosrjournals.org 9 | Page Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring Kiran K. Jadhao1 , Rajendra S. Dalu2 1 Mechanical Engineering Department, Babasaheb Naik College of Engineering, Pusad, India Email:kkjadhao@gmail.com 2 Professor and Head, Mechanical Engineering, Govt. College of Engineering, Amravati, India Abstract: This paper describes static and fatigue analysis of steel and composite leaf spring made of E-glass fiber/epoxy. The design parameters are considered to be same for both springs. Composite mono leaf spring was fabricated utilizing hand lay- up technique with distinguishing different fiber orientation such as, [0/45/0/45]s. The outcome of the experiment was validated by FEA. At full load, the stress in the composite leaf spring observed was 53.06 % less than a steel leaf spring with higher stiffness. The conventional steel leaf spring weighs about 10.5 kg, whereas the spring made with E-glass /epoxy weighs only 2.67 kg. Thus, weight reduction of 74.49% was accomplished. The fatigue life of composite leaf spring (100000 cycles) spring was more than that of conventional steel leaf spring. Study demonstrates that the composite can be used for leaf spring for the light vehicle and meet the requirement, together with the sustainable weight reduction. Better agreement between experimental result and FEA is observed. Key words: Steel leaf spring, E-glass fiber/epoxy, Static analysis, Fatigue analysis, Finite element analysis. I. Introduction Increasing competition and innovations in automobile sector tends to modify the existing products or replacing old products by new and advanced material products. A suspension system of vehicle is also an area where these innovations are carried out regularly. The leaf spring used in vehicle should absorb vertical vibration due to irregularities by means of deviation in the spring deflection, so that potential energy is stored in the spring as strain energy and released slowly [1-4]. The composite material is having distinctive characteristic such as, high strength to weight ratio, superior fatigue strength, excellent corrosion resistance beside this have higher natural frequency thus , this makes composite materials are excellent for leaf spring. Main factor that contribute fatigue failure that include number of cycles experienced, range of stress and mean stress experienced in each load cycle. When leaf spring deflects, rubbing between upper and lower side is occurred and this produce some damping, nevertheless, this induces squeaking sound and this in turn develop interleaf friction between leaves will also cause fretting corrosion which reduce fatigue strength of leaf spring. So, the leaf springs are more affected due to fatigue loads, as they are a part of the unsprung mass of the automobile. Due to the cyclic load on a suspension system of vehicle it can be failed. Thus, fatigue study and life prediction on the suspension system is crucial in order to verify the safety of suspension system during its operation. The fatigue life in steel and glass fiber reinforced plastic was predicted using damage model [5].Three cumulative damage models are examined for the case of cyclic loading of AISI 6150 steel, S2 fibre/epoxy and E glass fibre/epoxy composites. A prediction of fatigue life of steel and composite leaf spring was presented based on applied stress level. [6]. The dimensions of an existing conventional steel leaf spring of a light commercial vehicle are taken and are verified by design calculations. Finite element approach for design and stress-deflection analysis of a multi leaf spring using CAE tools. and indicates that when the leaf spring is fully loaded, a variation of 0.632 % in deflection is observed between the experimental and FEA result[7]. A static and fatigue analysis of steel leaf spring and composite multi leaf spring made up of glass fibre reinforced polymer were described using life data analysis[8]. In the present work, four-leaf steel spring used in light commercial vehicle is replaced with a composite mono leaf spring made of glass/epoxy composites. The dimensions for both steel leaf spring and composite leaf springs are considered to be the same. II. Objectives  Compare load carrying capacity, stiffness and weight savings of composite leaf spring with steel leaf spring  Fabrication of E-glass/epoxy based composite mono leaf spring with [0/45/0/45],.  To validate performance of steel and composite mono leaf spring for static analysis.  To determine Fatigue life of composite leaf spring.
  • 2. Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring DOI: 10.9790/1684-13160914 www.iosrjournals.org 10 | Page III. Methodlogy 3.1 Specification of conventional leaf spring All leaf spring made up of various fine grade alloy steel. The test steel used for experimental work is made of 55SI2Mn90. The composition of material is 0.55C%,1.74 Si%,0.87 Mn%,0.1 Cr%,0.02 Mo%,0.05 P%, 0.05 S%. Table 1.Specification of Existing steel leaf spring Sr.no Parameters Value total length (eye to eye) 860 mm Arc height of axle seat (camber) 90 mm spring rate 23.1 N/mm number of full-length leaves 01 number of graduated leaves 03 width of leaves 60mm thickness of each leaves 08 mm full bump loading 2084N spring weight 10.5 Kg; Young's modulus 2.1x105 MPa Available space for spring width 40-45 mm 3.2 Manufacturing of composite mono leaf spring It is well known that the stored elastic strain energy in a leaf spring varies directly with the square of maximum allowable stress and inversely with the modulus of elasticity both in longitudinal and transverse directions according to equation (1) S= 1σ2 2ρE ….. (1) Strain energy stored by various composite material is illustrate in table1. As E-glass fiber has good characteristic in direction of fiber and also have good storing strain energy. Composite materials can be tailored to meet the particular requirements of stiffness and strength with varying lay-up and fiber orientations. Table 2: Strain energy stored by various composite material Sr.No. Material Strain Energy (k J/kg ) 1 Steel 0.325 2 E-glass/Epoxy 4.5814 3 C-glass/Epoxy 18.76 4 S-2 glass/Epoxy 32.77 Table.3 : Mechanical properties of E-glass/Epoxy Sr.No. Properties Value 1 Tensile modulus along X- direction (Ex), Mpa 34000 2 Tensile modulus along Y- direction (Ey), Mpa 6530 3 Tensile modulus along Z- direction (Ez), Mpa 6530 4 Shear modulus along XY-direction (Gxy),Mpa 2433 5 Shear modulus along YZ-direction (Gyz), Mpa 1698 6 Shear modulus along ZX-direction (Gzx), Mpa 2433 7 Poisson ratio along XY-direction (Nuxy) 0.217 8 Poisson ratio along YZ-direction (Nuyz) 0.366 9 Poisson ratio along ZX-direction (Nuzx) 0.217 10 Mass density of material (ρ), kg/mm3 2.6x10-6 11 Tensile strength of the material, MPa 900 12 Compressive strength of the material,MPa 610 13 Flexural strength of the material, MPa 1200 14 Flexural modulus of the material, MPa 4000 3.3 Fabrication of mono composite leaf spring using hand lay-up technique Hand lay-up process is most appropriate because this does not require any skilled labor or rather particular kind of tooling and equipment. Before fabrication A mold was made with the same dimension as that of steel leaf spring. For that reason, mono composite leaf spring with constant width, thickness and constant cross section area was taken throughout. The glass fiber was woven roving type with fiber orientation [0/45/- 45/0]s of 360 GSM was selected. In order to make solution for every 100 parts by weight of epoxy resin and 10- 12 parts by weight of hardener 758 is mixed thoroughly at a temperature of 20-40 0 C. During process, wooden mold surface is finished by sand paper and made very smooth. the glass fiber was first sliced to sought in lengths, so that they can deposited on a mold layer by layer according to stacking grouping in order to fabricate mono composite leaf spring. The duration of the process may take 45 min. The mold was allowed to cure.(Figure1) shows A typical fabricated mono composite leaf spring.
  • 3. Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring DOI: 10.9790/1684-13160914 www.iosrjournals.org 11 | Page Figure1 Mono composite leaf spring IV. Experimental procedure: In this, Both the leaf spring s are tested under static loading condition and corresponding deflection and other performance parameters are tabulated in table 2.& 3 4.1 Static analysis of leaf spring :Test equipment used is Servo hydraulic Actuator Test Rig , specification are mentioned below: Load Cell, HBM, ± 25 kN . `Figure 2 . Servo hydraulic Actuator Test Rig The deflection of both the spring for comparative study is taken on computerized servo test rig. In experiment analysis the comparative study of e-glass/epoxy and steel leaf spring has been taken. Static strain measurement was carried out using two strain gauge during the stiffness measurement. It was evident from Table.3 load, deflection, and stiffness value during static testing of steel and composite mono leaf spring. 4.4. Finite element analysis of leaf spring The axle seat is assumed to be fixed and static loading of 2084 N is applied at both end, assume spring as simply supported beam, Both eye ends of leaf spring have flexibility to slide along X direction and as well it can rotate about a pin in Z direction. shown in (Figure3). Therefore, the displacement at both eye ends is constrained along X and Z direction. Since the properties of composite vary with the direction of fiber orientation. Figure. 3 Loading and boundary condition applied in analysis
  • 4. Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring DOI: 10.9790/1684-13160914 www.iosrjournals.org 12 | Page Figure 4. Displacement contour for CLS Figure 5. Von Mises Stress distribution for CLS Figure : Load Deflection curve TABLE 2: Percent saving of weight using composite material Parameter Multi steel leaf spring Composite mono leaf spring % Weight saving Weight (kg) 10.5 2.67 74.49 TABLE3: Stress analysis of Multisteel leaf and E-glass/epoxy leaf spring Parameters Multi steel leaf spring % Difference Composite mono leaf spring % Difference Experiment FEA Experiment FEA Load,(N) 2084 2084 Nil 2084 2084 Nil Maximum Stress (MPa) 480.34 450.38 6.2 211.4 200.7 5.06 Maximum deflection (mm) 44 48 9.0 40 40.22 0.5 Maximum stiffness (N/mm) 44.34 43.41 2.09 52.1 51.81 0.5 4.2Analytical approach for fatigue life assessment of composite leaf spring by Hwang and Han Relation Hwang and Han have developed an analytical model to predict the number of fatigue cycles to failure for components made up of composite material. [6] Hwang and Han relation : N = { B (1- r ) } 1/C …….(1) Where N= Number of cycles to failure, B=10.33,C=0.142, r = σmax / σUTS , σ max = Maximum stress, σUTS = Ultimate tensile strength, r = Applied stress level, above equation is applied for different stress level and fatigue life is calculated for CLS (Table 2 ). Based on the S-N graph (Fig 6 ) , it is observed that CLS , which is made up of E-glass fiber/ epoxy is withstanding more than 10,0000 cycle under stress level of 0.43 from Hwang and Han relation. The stress level of 0.43 is obtained is helpful for the determination of remaining number of cycles to failure using fatigue model.[8.] 0 10 20 30 40 50 60 0 500 1000 1500 2000 2500 Deflectionmm Load N CLS SLS
  • 5. Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring DOI: 10.9790/1684-13160914 www.iosrjournals.org 13 | Page TABLE 2: Fatigue life at different stress level of composite leaf spring Maximum stress (MPa) Applied stress level Number of cycles to failure N 100 0.1 8143500 200 0.2 3515500 300 0.3 1354800 400 0.4 450900 500 0.5 122700 600 0.6 25000 700 0.7 3200 800 0.8 200 V. Result and discussion The comparison analysis using experimental & FEA approach between steel leaf spring and composite leaf spring for deflection, stress, stiffness and weight is illustrated in table 3&4 From (Figure 5) shows almost linear characteristic for deflection.. As of the results of static analysis for composite leaf spring, it is seen that the displacement spring is 40 mm which is well below the camber length of leaf spring this point towards 50% enhancement in stiffness shown in table 3. It is observed that the maximum bending stress is about 211MPa. It is seen that for steel leaf spring for stress range of 510MPa, its fatigue life is estimated as 100000 cycles. which is less than fatigue life of composite leaf spring for applied stress level of 0.43. Figure 7: Estimation of fatigue life cycles of steel leaf spring [9] Figure 7: Applied stress Vs Number of cycle 0 200 400 600 800 1000 1200 1400 0 200 400 600 800 Maximumstress(MPa) Intial Stress ( MPa ) e a-30000 cycle b-50 000 cycle c- 75000 cycle d-100 000 cycle e-200 000 cycle f-1000 000 cycle Point of intesection of Intial stress and maximum stress indiacte life expectancy a b c d f 0 100 200 300 400 500 600 700 800 900 1000 -2000000 2000000 6000000 10000000 AlternatingStressMPa Number of Cycle N Stress ratio 0.43>100000
  • 6. Analytical and Experimental Studies on Steel and Composite Mono Leaf Spring DOI: 10.9790/1684-13160914 www.iosrjournals.org 14 | Page VI. Conclusion Under the same static loading condition It can be observed from the comparison that the stresses induced in the E-Glass/Epoxy composite leaf spring are less than the conventional steel leaf spring for the same load carrying capacity. The composite mono leaf spring reduces the weight by 74.49% over the conventional leaf spring. In addition to this, the composite leaf spring found higher stiffness than that of conventional leaf spring. Moreover fatigue life of CLS predicted to be higher than that of SLS. So, it is observed that CLS is an effective replacement for the conventional SLS. References Journal Papers: [1]. Daugherty R.L., Composite leaf spring in heavy truck application, Composite Material Proceedings of Japan-US Conference Tokyo 1981, pp529-538 [2]. Andrea Corvi. A Preliminary Approach to Composite Beam Design using FEM Analysis. Composite Structure 1990, Vol 16, no. 5, pp. 279–300, 1981. [3]. Beardmore P, Johnson CF. The potential for composites in Structural automotive applications. Comp Science and Technology, Vol. 26, pp. 251–81,1986 [4]. Morris C. J Composite Integrated Rear Suspension. Composite structure Vol, 5, pp. 233-242, 1986. [5]. Roselita Fragoudakis, Anil Saigal ,”Predicting the fatigue life in steel and glass fiber reinforced plastics using damage models,”Material science and applications,2011,2,pp 596-604 [6]. M. Senthil Kumar, S. Vijayarangan, Analytical and Experimental Studies on Fatigue Life Prediction of Steel and Composite Multi-leaf Spring for Light Passenger Vehicles. Journal of scientific and Industrial research 2007, ( 66) ,pp. 128-134. [7]. Kumar Krishanan, M.L. Aggarwal, Computer Aided FEA Comparison of Mono Steel and Mono GRP Leaf Spring, International Journal of Advance Engineering Research and Studies 2012, 1 (11), pp. 155-158. [8]. Mouleeswaran Senthil Kumar, Sabapathy Vijayarangan , “Analytical and Experimental Studies on Fatigue Life Prediction of Steel and Composite Multi-leaf Spring for Light Passenger Vehicles Using Life Data Analysis” ISSN 1392–1320, Materials Science . Vol. 13, No. 2.2007. Books: [9]. SAE ,Spring Design Manual –Design and Application of Leaf Springs, HS-744,AE,1990