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International
OPEN ACCESS Journal
Of Modern Engineering Research (IJMER)
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 40 |
Material Optimization of Leaf Spring of Tractor Trolley by FEA
Narendra Yadav1
, Mr. Praveen Tandon2
Mr. S.A.K. Jilani3
1, 2 3
(M E Scholar, Associate Professor, Associate Professor, Department of Mechanical Engineering, RCET,
Bhilai-India)
I. Introduction
Leaf sprigs are crucial suspension elements used on light passenger vehicle, mini loader and truck
necessary to minimize the vertical vibrations impacts and bumps due to road irregularities and to create a
comfortable ride. Leaf springs are widely used for automobile and rail road suspensions. The leaf spring should
absorb the vertical vibrations and impacts due to road irregularities by means of variations in the spring
deflection so that the potential energy is stored in spring as strain energy and then released slowly so increasing
the energy storage capabilities of a leaf spring and ensures a more compliant suspension system. Three
dimensional finite element analysis of the leaf spring consists of a computer model or design that is stressed and
analyzed for specific results.
The leaf spring is analyzed for static strength and deflection using 3D finite element analysis. The
general purpose finite element analysis software ANSYS is used for present study. The variation of bending
stress and displacement values are predicted. With the Indian market becoming global and advent of
multinationals in the market, a cut throat competition has a rise between the Indian companies and the
Multinational company .thus to remain in the contest it has become necessary for the Indian industries to
improve and innovate their product.
II. Material
The existing material of tractor trolley leaf spring is 50Cr1V23 and we had applied three different
materials for analysis of leaf spring like 55Si2Mn90, 38Si6 and 50Cr1. The material used for the experimental
work is 55Si2Mn90.
Tab.1 Parameters of the steel leaf spring
Material
options
Material Input Properties
Spring Steel
Tensile Yield
Strength
(MPa)
Ultimate
Tensile
Strength
(M6Pa)
Existing 50Cr1V23 1800 2050
Option 1 50Cr1 1650 1950
Option 2 38Si6 1050 1300
Option 3 55Si2Mn90 1800 1950
Abstract: Leaf Spring (LS) is an indispensable machine element of the automobile sector. In this
particular work we are analyzed a LS with the help of Finite Element Method when subjected to static
loads and appropriate boundary conditions. The LS taken into consideration is that of a Tractor Trolley
having a Gross Vehicle Weight of 20 ton. According to the existing dimension of simple leaf spring it
has modeled in solid works 2013.after that cad model has used to discretized in to small no of element
and nodes to perform the required finite element analysis. Initially analysis has done for three different
materials and taken the most economic and suitable material for leaf spring in the optimization stages.
Comparision of material was perform on the basis of result obtained from the analysis of leaf spring like
von mises stress, strain and deflection.
Keywords: leaf spring (LS), Finite Element Analysis (FEA), Camber, Leaf Span, Static loading,
Computer Aided Engineering (CAE)
Material Optimization of leaf spring of tractor trolley by FEA
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 41 |
III. Three Dimensional Solid Model
Fig. 1: Three Dimensional CAD Model
IV. Finite Element Analysis
Analysis of leaf spring is done by Finite Element Method in software ANSYS Workbench. Finite
element method (FEM) is a numerical method for solving a differential or integral equation. It has been applied
to a number of physical problems, where the governing differential equations are available. The method
essentially consists of assuming the piecewise continuous function for the solution and obtaining the parameters
of the functions in a manner that reduces the error in the solution. In this article, a brief introduction to finite
element method is provided. The method is illustrated with the help of the plane stress and plane strain
formulation
The first phase for applying the method of Finite Elements is Meshing or Discretization. Meshing is
basically the process of breaking the CAD model into very small elements. It is also known as piecewise
approximation. Meshing are of different types, it may be comprising of 1D, 2D or 3D elements. In present case
selected is shown in Table-2
Mesh
Element type
S.N. Entity Size
1 Nodes 9201 Connectivity Statistics
2 Elements 4185 TE10
4185
( 100% )
V. Results from FEA
The following result we obtained by applying FEA on the leaf spring assembly.
Fig. 2 Stress Analysis (Material-50Cr1V23 )
Fig 3 Deflection Analysis (Material-50Cr1V23)
Material Optimization of leaf spring of tractor trolley by FEA
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 42 |
Fig 4 Deflection Analysis (Material-38Si6)
Fig 5 Stress Analysis (Material-38Si6)
Fig 6 Deflection Analysis (Material-50Cr1)
Fig 7 Stress Analysis (Material-50Cr1)
Fig 8 Deflection Analysis (Material-55Si2Mn90)
Material Optimization of leaf spring of tractor trolley by FEA
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 43 |
Fig 9 Stress Analysis (Material-55Si2Mn90)
After the analysis of leaf spring gives the above result for different materials.
Materiel
options
Material Input Properties Analysis Result
Spring
Steel
TYS
(MPa)
UTS
(MPa)
Stress
(MPa)
Deflection
mm
Existing 50Cr1V23 1800 2050 237.30 0.81312
option 1 50Cr1 1650 1950 235.09 0.76915
option 2 38Si6 1050 1300 233.54 0.75010
option 3 55Si2Mn90 1800 1950 231.38 0.73011
VI. Conclusion
As per the result obtained from Finite Element Analysis in ANSYS we found that leaf spring provides
good performance when it is made up of Spring Steel 55Si2Mn90 the results are-
In this work the main focus was to create a method wherein the load carrying capacity of leaf spring can be
computed, and in this context FEA turned out to be very effective. The work elucidated is completely devoted to
the conglomeration of Mechanical Engineering Design & Computer Aided Engineering.
Material Optimization of leaf spring of tractor trolley by FEA
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 44 |
REFERENCES
[1] Dewangan Ritesh, Patnaik Manas and Yadav Narendra.” Minimization of Stress of a Parabolic Leaf Spring by
Simulated Annealing Algorithm”, International Journal of Engineering Research and Applications (IJERA), Vol. 2,
Issue 4, July-August 2012, pp.457-460.
[2] Patnaik Manas Dewangan Ritesh and Yadav Narendra.”, “Estimation of Maximum Load Carrying Capacity of a
Parabolic Leaf Spring by Design of Experiments” International Journal of Engineering Research and Applications
(IJERA), Vol. 2, Issue 4, July-August 2012
[3] Gulur Siddaramanna Shiva Shankar, Sambagam Vijayarangan, “Mono Composite Leaf Spring for Light Weight
Vehicle Design, End Joint Analysis and Testing”, J. of Materials Science, Vol. 12, pp. 220-225, Issue 3, 2006.
[4] Patnaik Manas, Yadav Narendra, Dewangan Ritesh,” Study of a Parabolic Leaf Spring by Finite Element Method &
Design of Experiments”, International Journal of Modern Engineering Research (IJMER), Vol.2, Issue 4, July-Aug
2012 pp-1920-1922.
[5] G. Wagle Sachin, Satish S. Oesai, Wadkar S. B., “Optimized Design & Analysis of Parabolic Leaf Spring
Considering Braking, Cornering & Bump loads”, National Conference of computational methods in Mechanical
Engineering, pp. 47–52 , September 2005.
[6] Kanbolat Ahmet , Murathan Soner, Mustafa Karaagaç, Tolga Erdogus, “Parabolic Leaf Spring Optimization and
Fatigue Strength Evaluation on The Base of Road Load Data, Endurance Rig Tests and Non Linear Finite Element
Analysis”, SAE International, 2011
[7] Kumar Krishan and Aggarwal M.L. “A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE
Tools”, Research Journal of Recent Sciences, Vol. 1, pp. 92-96, December 2012.
[8] Yadav Narendra, Dewangan Ritesh, Patnaik Manas,” Minimization Of Stress In A Parabolic Leaf Spring By Local
Algorithm For Constant & Priorities, International Journal of Engineering Research and Applications (IJERA), Vol.
2, Issue4, July-August 2012, pp.1897-1899.
[9] Dhoshi N.P., Ingole N.K., Gulhane U.D., “Analysis and Modification of Leaf Spring of Tractor Trailer Using
Analytical and Finite Element Method”, International Journal of Modern Engineering Research, Vol. 1, pp. 719-722,
Issue 2, December 2012.
[10] Kothari Dakshraj, Sahu Rajendra and Satankar Rajesh, “Comparison of Performance of Two Leaf Spring Steels Used
For Light Passenger Vehicle”, International Journal of Mechanical, Automobile & Production Engineering, Vol. 2,
pp. 9-16, Issue 1, 2012.
[11] Kumar Krishan, Aggarwal M.L, “Computer Aided FEA Comparison of Mono Steel And Mono GRP Leaf Spring”,
International Journal of Advanced Engineering Research and Studies, Vol. 1, pp. 155-158, Issue 2, January-March,
2012.
[12] Clarke C.K. and Borowski G.E., “Evaluation of a Leaf Spring Failure”, Journal of Failure Analysis and Prevention,
Vol. 5, pp. 54-63, Issue 6, December 2005.
[13] Jadhav K.K. and Dalu R.S., “Experimental Investigation & Numerical Analysis of Composite Leaf Spring”,
International Journal of Engineering Science and Technology, Vol. 3, pp. 4759-4764, Issue 6, June 2012.
[14] Arora Vinkel, Bhushan Gian and Aggarwal M.L., “Eye Design Analysis of Single Leaf Spring In Automotive
Vehicles Using CAE Tools”, International Journal of Applied Engineering and Technology, Vol. 1, pp. 88-97, Issue
1, October-December, 2011.
[15] Douglas C. Montgomery, Design & Analysis of Experiments, JOHN WILEY & SONS INC, 5th Edition, 2001, pp 8-
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[16] Jiju Antony, Design of Experiments for Scientists & Engineers, Elsevier Science & Technology Books, 1st Edition,
2003, pp 6-24.
[17] G.R. Liu & S.S. Quek, The Finite Element Method, Butterworth-Heinemann (Imprint of Elsevier Science), 1st
Edition, 2003, pp 3-65.
[18] Klaus-Jurgen Bathe, Finite Element Procedures, Prentice Hall, 1st Edition, 1996, pp 78-96.

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Material Optimization of Leaf Spring of Tractor Trolley by FEA

  • 1. International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 40 | Material Optimization of Leaf Spring of Tractor Trolley by FEA Narendra Yadav1 , Mr. Praveen Tandon2 Mr. S.A.K. Jilani3 1, 2 3 (M E Scholar, Associate Professor, Associate Professor, Department of Mechanical Engineering, RCET, Bhilai-India) I. Introduction Leaf sprigs are crucial suspension elements used on light passenger vehicle, mini loader and truck necessary to minimize the vertical vibrations impacts and bumps due to road irregularities and to create a comfortable ride. Leaf springs are widely used for automobile and rail road suspensions. The leaf spring should absorb the vertical vibrations and impacts due to road irregularities by means of variations in the spring deflection so that the potential energy is stored in spring as strain energy and then released slowly so increasing the energy storage capabilities of a leaf spring and ensures a more compliant suspension system. Three dimensional finite element analysis of the leaf spring consists of a computer model or design that is stressed and analyzed for specific results. The leaf spring is analyzed for static strength and deflection using 3D finite element analysis. The general purpose finite element analysis software ANSYS is used for present study. The variation of bending stress and displacement values are predicted. With the Indian market becoming global and advent of multinationals in the market, a cut throat competition has a rise between the Indian companies and the Multinational company .thus to remain in the contest it has become necessary for the Indian industries to improve and innovate their product. II. Material The existing material of tractor trolley leaf spring is 50Cr1V23 and we had applied three different materials for analysis of leaf spring like 55Si2Mn90, 38Si6 and 50Cr1. The material used for the experimental work is 55Si2Mn90. Tab.1 Parameters of the steel leaf spring Material options Material Input Properties Spring Steel Tensile Yield Strength (MPa) Ultimate Tensile Strength (M6Pa) Existing 50Cr1V23 1800 2050 Option 1 50Cr1 1650 1950 Option 2 38Si6 1050 1300 Option 3 55Si2Mn90 1800 1950 Abstract: Leaf Spring (LS) is an indispensable machine element of the automobile sector. In this particular work we are analyzed a LS with the help of Finite Element Method when subjected to static loads and appropriate boundary conditions. The LS taken into consideration is that of a Tractor Trolley having a Gross Vehicle Weight of 20 ton. According to the existing dimension of simple leaf spring it has modeled in solid works 2013.after that cad model has used to discretized in to small no of element and nodes to perform the required finite element analysis. Initially analysis has done for three different materials and taken the most economic and suitable material for leaf spring in the optimization stages. Comparision of material was perform on the basis of result obtained from the analysis of leaf spring like von mises stress, strain and deflection. Keywords: leaf spring (LS), Finite Element Analysis (FEA), Camber, Leaf Span, Static loading, Computer Aided Engineering (CAE)
  • 2. Material Optimization of leaf spring of tractor trolley by FEA | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 41 | III. Three Dimensional Solid Model Fig. 1: Three Dimensional CAD Model IV. Finite Element Analysis Analysis of leaf spring is done by Finite Element Method in software ANSYS Workbench. Finite element method (FEM) is a numerical method for solving a differential or integral equation. It has been applied to a number of physical problems, where the governing differential equations are available. The method essentially consists of assuming the piecewise continuous function for the solution and obtaining the parameters of the functions in a manner that reduces the error in the solution. In this article, a brief introduction to finite element method is provided. The method is illustrated with the help of the plane stress and plane strain formulation The first phase for applying the method of Finite Elements is Meshing or Discretization. Meshing is basically the process of breaking the CAD model into very small elements. It is also known as piecewise approximation. Meshing are of different types, it may be comprising of 1D, 2D or 3D elements. In present case selected is shown in Table-2 Mesh Element type S.N. Entity Size 1 Nodes 9201 Connectivity Statistics 2 Elements 4185 TE10 4185 ( 100% ) V. Results from FEA The following result we obtained by applying FEA on the leaf spring assembly. Fig. 2 Stress Analysis (Material-50Cr1V23 ) Fig 3 Deflection Analysis (Material-50Cr1V23)
  • 3. Material Optimization of leaf spring of tractor trolley by FEA | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 42 | Fig 4 Deflection Analysis (Material-38Si6) Fig 5 Stress Analysis (Material-38Si6) Fig 6 Deflection Analysis (Material-50Cr1) Fig 7 Stress Analysis (Material-50Cr1) Fig 8 Deflection Analysis (Material-55Si2Mn90)
  • 4. Material Optimization of leaf spring of tractor trolley by FEA | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 43 | Fig 9 Stress Analysis (Material-55Si2Mn90) After the analysis of leaf spring gives the above result for different materials. Materiel options Material Input Properties Analysis Result Spring Steel TYS (MPa) UTS (MPa) Stress (MPa) Deflection mm Existing 50Cr1V23 1800 2050 237.30 0.81312 option 1 50Cr1 1650 1950 235.09 0.76915 option 2 38Si6 1050 1300 233.54 0.75010 option 3 55Si2Mn90 1800 1950 231.38 0.73011 VI. Conclusion As per the result obtained from Finite Element Analysis in ANSYS we found that leaf spring provides good performance when it is made up of Spring Steel 55Si2Mn90 the results are- In this work the main focus was to create a method wherein the load carrying capacity of leaf spring can be computed, and in this context FEA turned out to be very effective. The work elucidated is completely devoted to the conglomeration of Mechanical Engineering Design & Computer Aided Engineering.
  • 5. Material Optimization of leaf spring of tractor trolley by FEA | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 4 | Iss. 4 | Apr. 2014 | 44 | REFERENCES [1] Dewangan Ritesh, Patnaik Manas and Yadav Narendra.” Minimization of Stress of a Parabolic Leaf Spring by Simulated Annealing Algorithm”, International Journal of Engineering Research and Applications (IJERA), Vol. 2, Issue 4, July-August 2012, pp.457-460. [2] Patnaik Manas Dewangan Ritesh and Yadav Narendra.”, “Estimation of Maximum Load Carrying Capacity of a Parabolic Leaf Spring by Design of Experiments” International Journal of Engineering Research and Applications (IJERA), Vol. 2, Issue 4, July-August 2012 [3] Gulur Siddaramanna Shiva Shankar, Sambagam Vijayarangan, “Mono Composite Leaf Spring for Light Weight Vehicle Design, End Joint Analysis and Testing”, J. of Materials Science, Vol. 12, pp. 220-225, Issue 3, 2006. [4] Patnaik Manas, Yadav Narendra, Dewangan Ritesh,” Study of a Parabolic Leaf Spring by Finite Element Method & Design of Experiments”, International Journal of Modern Engineering Research (IJMER), Vol.2, Issue 4, July-Aug 2012 pp-1920-1922. [5] G. Wagle Sachin, Satish S. Oesai, Wadkar S. B., “Optimized Design & Analysis of Parabolic Leaf Spring Considering Braking, Cornering & Bump loads”, National Conference of computational methods in Mechanical Engineering, pp. 47–52 , September 2005. [6] Kanbolat Ahmet , Murathan Soner, Mustafa Karaagaç, Tolga Erdogus, “Parabolic Leaf Spring Optimization and Fatigue Strength Evaluation on The Base of Road Load Data, Endurance Rig Tests and Non Linear Finite Element Analysis”, SAE International, 2011 [7] Kumar Krishan and Aggarwal M.L. “A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE Tools”, Research Journal of Recent Sciences, Vol. 1, pp. 92-96, December 2012. [8] Yadav Narendra, Dewangan Ritesh, Patnaik Manas,” Minimization Of Stress In A Parabolic Leaf Spring By Local Algorithm For Constant & Priorities, International Journal of Engineering Research and Applications (IJERA), Vol. 2, Issue4, July-August 2012, pp.1897-1899. [9] Dhoshi N.P., Ingole N.K., Gulhane U.D., “Analysis and Modification of Leaf Spring of Tractor Trailer Using Analytical and Finite Element Method”, International Journal of Modern Engineering Research, Vol. 1, pp. 719-722, Issue 2, December 2012. [10] Kothari Dakshraj, Sahu Rajendra and Satankar Rajesh, “Comparison of Performance of Two Leaf Spring Steels Used For Light Passenger Vehicle”, International Journal of Mechanical, Automobile & Production Engineering, Vol. 2, pp. 9-16, Issue 1, 2012. [11] Kumar Krishan, Aggarwal M.L, “Computer Aided FEA Comparison of Mono Steel And Mono GRP Leaf Spring”, International Journal of Advanced Engineering Research and Studies, Vol. 1, pp. 155-158, Issue 2, January-March, 2012. [12] Clarke C.K. and Borowski G.E., “Evaluation of a Leaf Spring Failure”, Journal of Failure Analysis and Prevention, Vol. 5, pp. 54-63, Issue 6, December 2005. [13] Jadhav K.K. and Dalu R.S., “Experimental Investigation & Numerical Analysis of Composite Leaf Spring”, International Journal of Engineering Science and Technology, Vol. 3, pp. 4759-4764, Issue 6, June 2012. [14] Arora Vinkel, Bhushan Gian and Aggarwal M.L., “Eye Design Analysis of Single Leaf Spring In Automotive Vehicles Using CAE Tools”, International Journal of Applied Engineering and Technology, Vol. 1, pp. 88-97, Issue 1, October-December, 2011. [15] Douglas C. Montgomery, Design & Analysis of Experiments, JOHN WILEY & SONS INC, 5th Edition, 2001, pp 8- 19. [16] Jiju Antony, Design of Experiments for Scientists & Engineers, Elsevier Science & Technology Books, 1st Edition, 2003, pp 6-24. [17] G.R. Liu & S.S. Quek, The Finite Element Method, Butterworth-Heinemann (Imprint of Elsevier Science), 1st Edition, 2003, pp 3-65. [18] Klaus-Jurgen Bathe, Finite Element Procedures, Prentice Hall, 1st Edition, 1996, pp 78-96.