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  • Design, Study and Analysis of Semi Elepitical Leaf Spring for Front Axle Using Creo Analysis

  • Department of Mechanical Engineering, Surya Group of Institutions School of Engineering and Technology Vikravandi, Villupuram-605 652, India

Abstract

The objective of this study is to perform experimental and numerical analysis of the static strength and fatigue life reliability of parabolic, laminated and semi elliptical leaf springs in heavy commercial trucks. To achieve this objective, stress and displacements under static loading were analytically calculated. A computer-aided design model of leaf spring was created. The stress and displacements were calculated by the finite element method. The spring was modeled and analyzed using CREO Part Design and simulated. The high strength SUP9 GRADE spring steel was used as sample leaf springs materials, and heat treatments and shoot peening were applied to increase the material strength. Sample p leaf springs were tested to obtain stress and displacement under static loading conditions. By comparing three methods, namely, the static analytical method, static finite elements method and static experimental method, it is observed that results of three methods are close to each other and all three methods are reliable for the design stage of the leaf spring. Similarly, sample Semi Elliptical leaf springs were tested to evaluate the fatigue life under working conditions. The reliability analysis of the obtained fatigue life test value was carried out. It was shown that both analytical model and finite element analysis are reliable methods for the evaluation of static strength and fatigue life behavior in Semi Elliptical leaf springs. In addition, it is determined by a reliability analysis based on rig test results of nine springs that the spring achieves its life cycle of 100,000 cycles with a 99% probability rate without breaking. Furthermore, the calculated fatigue life is 2.98% greater than experimentally obtained fatigue life mean and the leaf spring can be used safely and reliably during the service period in heavy trucks.

Keywords

Design, Study, Analysis, Semi Elepitical Leaf Spring, Front Axle, Creo Analysis

Introduction

A leaf spring is a simple form of spring commonly used for suspension in wheeled vehicles. Originally called a laminated or carriage spring, and sometimes referred to as a semi-elliptical spring, elliptical spring, or cart spring, it is one of the oldest forms of vehicle suspension. A leaf spring is one or more narrow, arc-shaped, thin plates that are attached to the axle and chassis in a way that allows the leaf spring to flex vertically in response to irregularities in the road surface. Lateral leaf springs are the most commonly used arrangement, running the length of the vehicle and mounted perpendicular to the wheel axle, but numerous examples transverse leaf spring exist as well. Leaf springs can serve multiple suspension functions: location, springing, and to some extent damping as well, through interleaf friction. However, this friction is not well controlled, resulting in stiction and irregular suspension motions. For this reason, some manufacturers have used mono-leaf springs. Generic diagram of a leaf spring pack, without eyes; leaves are fastened together by the center bolt, midway along the length of the spring, and lateral alignment is enforced by multiple clips A leaf spring takes the form of a slender arc-shaped length of spring steel of a rectangular cross-section. In the most common configuration, the center of the arc provides the location for the axle, while loops formed at either end provide for attaching to the vehicle chassis. For very heavy vehicles, a leaf spring can be made from several leaves stacked on top of each other in several layers, often with progressively shorter leaves. The longest leaf is also known as the main, master, or No. 1 leaf, with leaves numbered in descending order of length. The eyes at the end of the leaf spring are formed into the master leaf.? In general, aside from the main leaf, the other leaves are tapered at each end. Sometimes auxiliary or rebound leaves are part of the main spring pack, in which case the auxiliary leaf closest to the main leaf is No. 1, the next closest is the leaves are attached to each other through the center bolt, which is at or near the midpoint along the length of the leaf spring. ? To ensure that leaves remain aligned laterally, several methods can be used, including notches and grooves between leaves or external

MATERIAL AND METHODOLOGY

Spring steels were discovered to be most efficient at approximately 1% carbon content. Individual leaf thickness is specified by the Stubbs or Birmingham gauge, with typical thicknesses ranging between 0.203 to 0.375 in (5.2 to 9.5 mm) (6 to 3/8 or 00 gauge). 1 The material and dimensions should be selected such that each leaf is capable of being hardened to have a fully martensitic structure throughout the entire section Suitable Spring steel alloys include 55Si7, 60Si7, 65Si7, 50Cr4V2, and 60Cr4V2

Table 1. Chemical composition of Semi elliptical leaf spring

C

Mg

Si

S

P

Cr

Mn

Alloy

Alloy steel

0.52

2.55

0.35

0.03

0.03

0.65

0.95

5.81

Bal

Stress Analysis: Evaluating load distribution and fatigue life using simulation      tools like CREO

  • Weight Optimization: Reducing unsprung mass for better fuel efficiency and ride comfort.
  • Manufacturing Feasibility: Considering ease of fabrication, cost, and availability.
  • Performance Testing: Validating durability through real-world testing and cyclic loading experiments.
    1. Manufacturing of leaf spring

Leaf springs are commonly made from spring steel, a high-carbon steel alloy known for its strength and hardness. It can come in bars or coils and is shaped using machines. For parabolic springs, the steel varies in thickness throughout the leaf. The main leaf’s ends form eyes for attachment purposes and can be reinforced with metal. Subsequent leaves are shaped to match the main ones. To enhance its qualities, spring steel undergoes heat treatment. It’s first heated and then rapidly cooled in a process called quenching, which bolsters durability. Next, it’s reheated to a lower temperature and cooled slowly, a process called tempering, which enhances its flexibility and resilience. Forming the Leaves The formation of the leaves in leaf springs is a crucial process that determines the strength, flexibility, and resilience of the spring. Two primary methods are typically employed in the formation of leaf spring leaves: hot forming and cold forming.

Hot forming: This involves heating metal to a high temperature and then shaping it into the desired configuration using intense pressure, forging, or pressing. It’s suitable for creating complex and precise shapes.

Cold forming: This process shapes metal at room temperature using high-pressure forces. Cold forming increases the strength and durability of the finished leaf springs, making it an essential step in the production process.

Heat Treatment and Annealing Heat treatment is essential for enhancing the strength of materials. It involves controlled heating and cooling processes applied to a material, such as metals, to alter its microstructure and properties. Annealing is a heat treatment process used to relieve stress in materials such as metals or glass. It involves heating the material to a specific temperature and then slowly cooling it down, often in a controlled environment. During annealing, internal stresses within the material are reduced or eliminated, resulting in improved mechanical properties and increased durability. The process allows for the redistribution of atoms, reducing defects and restoring uniformity. Shot Peening and Stressing In the context of manufacture leaf springs, shot peening is employed to prolong the fatigue life of the springs by bombarding the surface with high-velocity metallic particles, creating stresses that prevent cracks. Additionally, stress testing is conducted to ensure the springs can handle the intended loads. This involves applying controlled stress that simulates or even exceeds the expected conditions, allowing for evaluation and necessary adjustments to meet the load capacity requirements.  Assembling the Leaves Assembling the leaves is a core step, crucial for vehicle suspension. Here’s a succinct overview of the process:

Layering: Leaves of spring steel are placed on top of each other, starting with the longest at the bottom, decreasing in size upward. This forms the spring’s characteristic curve.

Stacking: Alignment during stacking is essential for efficiency and durability. The leaves must fit together accurately.

Bolting: In the bolting stage of leaf springs manufacturing, the process begins with the positioning of a center bolt, inserted through pre-drilled holes in the leaves. Once in place, the bolt is then tightened, an action that compresses the leaves and helps to maintain their alignment. After securing, final adjustments are made to the assembled leaves. This careful fine-tuning ensures correct alignment and achieves the desired spring shape, solidifying the integral structure of the leaf spring.

RESULT AND DISCUSSION

The design of the leaf spring is done in CREO software. All the leaves, clamps and bolt are designed separately in the part drawing and are assembled in the assembly drawing section in CREO. The leaves are assembled by giving surface contact between the bottom surfaces of one leaf to the top surface of the other leaf. In this way all the 3 leaves are assembled in the CREO, after that the clamps and bolts are assembled in the Semi Elliptical leaf spring. Computer-aided design (CAD) modelling of a Semi Elliptical leaf spring was performed using CREO in Part Design Workbench. It is essential to use the developed CAD model as a physical specimen prior to the production of a prototype.

2.1. Design parameters for Semi elliptical leaf spring:

Here Weight and initial measurements of Electric Tow Tractor.

Gross vehicle weight = 3550 kg

Front axle weight = 1600 kg

Taking factor of safety (FS) = 1.4

Acceleration due to gravity (g) = 9.8m/s²

There for; Total Weight (W) = 1910*9.8*1.4 = 26740 N

A single leaf spring corresponding to one of the wheels in front axle takes up Weight (F) = 26740/2 = 13370 N 21

Fig 1. Meshing of semi elliptical

Fig 2. Load and constraints

2.2. Geometry and mesh

Geometry refers to the 3D model of the part or assembly you want to analyze. This model can be created within Ansys using tools like Ansys Design Modeler or imported from external CAD software. Preparing the geometry involves simplifying or "defeaturing" the model to remove unnecessary details that don't affect the simulation results but can increase computational time Meshing is the process of dividing the geometry into smaller, finite elements. These elements can be tetrahedral or hexahedral (hex), among other shapes. The quality of the mesh significantly impacts the accuracy and efficiency of the simulation. A good mesh should balance between having enough elements to capture the details of the geometry and keeping the number of elements manageable to reduce computation time2.3. Structural Simulation on Existing Leaf Spring

  • Structural simulation of an existing leaf spring in Creo involves using Finite Element Analysis (FEA) to evaluate stress distribution, deflection, and durability under various loads. Creo provides tools for designing, analyzing, and optimizing leaf springs, ensuring better performance and material efficiency.
  • A research paper on designing and analyzing leaf spring suspension systems using Creo Parametric, discussing strain energy and optimization techniques.
  • A Creo Ansys Simulation guide, explaining how to model stiffness in connections, including spring behavior and constraints.

Table 1. Load Condition on Existing leaf Spring

S.NO

Factor of safety

Load (Kg)

Stress (Mpa)

1

1

1600

195

2

1.5

2400

294

3

2

3200

392

Fig 3 Stress for 1600 Kg

Fig 4 Stress for 2400 Kg

Fig 5 Stress for 3200 Kg

2.4. Structural Simulation on New Leaf Spring

Table 2 Load Condition on New leaf Spring

S.NO

Factor of safety

Load (Kg)

Stress (Mpa)

1

1

1600

138

2

1.5

2400

208

3

2

3200

277

Fig 6 Stress for 1600 Kg

Fig 7 Stress for 2400 Kg

Fig 8 Stress for 3200 Kg

Table 3 Comparison of Existing and new leaf spring

S.NO

Factor of safety

Load (Kg)

Stress (Mpa)Existing

Stress (Mpa)New

1

1

1600

195

138

2

1.5

2400

294

208

3

2

3200

392

277

Fig 9 Comparison of Existing and new leaf spring

  • The comparison between an existing leaf spring and a new leaf spring for different Factors of Safety (FOS)—1, 1.5, and 2—depends on material strength, weight, durability, and performance under load conditions
  • Studies suggest that composite leaf springs provide better strength-to-weight ratio and improved ride quality compared to conventional steel springs. If you need detailed simulation results or specific material analysis to be done.

CONCLUSIONS

  • The comparison of stress vs. load between the existing steel leaf spring and the new composite leaf spring highlights a significant improvement in performance. As observed in the graph:
  • The existing leaf spring shows higher stress at all load levels, meaning it experiences greater material strain and potential fatigue under increasing weight.
  • The new leaf spring maintains lower stress levels, even under heavy loads, indicating better load-bearing capacity, enhanced durability, and superior flexibility.
  • At higher loads, the gap in stress widens, showing that the new material adapts better to increasing forces, reducing failure risks and improving long-term reliability.
  • Lower stress = better fatigue resistance, making the new leaf spring last longer.
  • Weight reduction improves fuel efficiency while maintaining strength.
  • Enhanced flexibility and load distribution ensure a smoother ride and less strain on the suspension system.
  • Greater efficiency leads to less maintenance and lower costs in the long run.
  • The new composite leaf spring outperforms the existing steel leaf spring in terms of stress management, load distribution, and durability. With lower stress levels, it is the ideal choice for improved suspension, fuel efficiency, and long-term reliability.

REFERENCE

  1. Priyanka Kothari, Amit Patel. A Review Paper on Design & Analysis of Leaf Spring. Int. J. of Engg. Research & Tech. Vol. 3 Issue 3, 2014
  2. Krishnamurthy, K., Ravichandran, P., Shahid Naufal, A., Pradeep, R., & Sai HarishAdithiya, K. M. (2020). Modeling and structural analysis of leaf spring using composite materials. Materials Today: Proceedings. doi: 10.1016/j.matpr.2020.07.346.
  3. Guduru, R. K. R., Shaik, S. H., Tuniki, H. P., & Domeika, A. (2020). Development of mono leaf spring with composite material and investigating its mechanical properties. Materials Today: Proceedings. doi: 10.1016/j.matpr.2020.02.289 
  4. Mir Hayder1, Corey McCollum.  Effect of Cross-section on Column Buckling.  IOSR Journal of Mechanical and Civil Engineering.2020, Volume 17, Issue 4, PP 34-38.
  5. Shokrieh MM, Rezaei D. Analysis and optimization of a composite leaf spring. Compos Struct 2003; 60:317–25.
  6. Sancaktar E, Gratton M. Design, analysis, and optimization of composite leaf springs for light vehicle applications. Compos Struct 1999; 44:195–204.
  7. Jancirani J, Assarudeen H. A review on structural analysis and experimental investigation of fiber reinforced composite leaf spring. J Reinf Plast Compos2015; 34:95–100.
  8. Yu WJKH. Double tapered FRP beam for automotive-suspension leaf spring. CompStruct. 1988::21.
  9. Al-Obaidi, A. J., Ahmed, S. J., & Sukar, H. M. (2019). The effect of factors on the flexural of thecomposite leaf spring. Materials Today: Proceedings.2019.09.190.
  10. B. Vijaya Lakshmi and I. Satyanarayana, Static and Dynamic analysis on composite leaf spring in heavy vehicle, International Journal of Advanced Engineering Research and Studies, 2012.
  11. P. Beardmore, Composite structures for automobiles, Composite Structures, 1986
  12. C.J. Morris, Composite integrated rear suspension", Composite Structures, 1986
  13. M.  Senthil Kumar and S. Vijayarangan, Design Optimization and Experimental Analysis of Composite Leaf Spring for Light Passenger Vehicle,2007
  14. L. Zhanfang and T. Junling, Study on the Optimization Design of Hydro-pneumatic Spring Based on Genetic Algorithm, Third International Conference on Measuring Technology and Mechatronics Automation, 2011
  15. Ranjeet Mithari, Amar Patil and Prof E. N. Aitavade, Analysis of Composite Leaf Spring by using Analytical & FEA, International Journal of Engineering Science and Technology,2012 
  16. Mehdi Bakhshesh and Majid Bakhshesh, Optimization of Steel Helical Spring by Composite Spring, International Journal of Multidisciplinary Sciences and Engineering,2012 
  17. Joo-teck Jeffrey KUEH and Tarlochan PARIS, Finite element analysis on the static and fatigue characteristics of composite multi- leaf spring. Journal of Zhejiang University,2012 
  18. M. Raghavedra, Syed Altaf Hussain, V. Pandurangadu and K. Palani Kumar, Modeling and Analysis of Laminated Composite Leaf Spring under the Static Load Condition by using FEA, International Journal of Modern Engineering Research,2012
  19. K. Kumar and M.L. Aggarwal, A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE Tools, Research Journal of Recent Sciences,2012
  20. Ahmet Kanbolat, Murathan Soner, Mustafa Karaagac and 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, 2011. 
  21. Mehdi Bakhshesh and Majid Bakhshesh, Optimization of Steel Helical Spring by Composite Spring, International Journal of Multidisciplinary Sciences and Engineering,2012.

Reference

  1. Priyanka Kothari, Amit Patel. A Review Paper on Design & Analysis of Leaf Spring. Int. J. of Engg. Research & Tech. Vol. 3 Issue 3, 2014
  2. Krishnamurthy, K., Ravichandran, P., Shahid Naufal, A., Pradeep, R., & Sai HarishAdithiya, K. M. (2020). Modeling and structural analysis of leaf spring using composite materials. Materials Today: Proceedings. doi: 10.1016/j.matpr.2020.07.346.
  3. Guduru, R. K. R., Shaik, S. H., Tuniki, H. P., & Domeika, A. (2020). Development of mono leaf spring with composite material and investigating its mechanical properties. Materials Today: Proceedings. doi: 10.1016/j.matpr.2020.02.289 
  4. Mir Hayder1, Corey McCollum.  Effect of Cross-section on Column Buckling.  IOSR Journal of Mechanical and Civil Engineering.2020, Volume 17, Issue 4, PP 34-38.
  5. Shokrieh MM, Rezaei D. Analysis and optimization of a composite leaf spring. Compos Struct 2003; 60:317–25.
  6. Sancaktar E, Gratton M. Design, analysis, and optimization of composite leaf springs for light vehicle applications. Compos Struct 1999; 44:195–204.
  7. Jancirani J, Assarudeen H. A review on structural analysis and experimental investigation of fiber reinforced composite leaf spring. J Reinf Plast Compos2015; 34:95–100.
  8. Yu WJKH. Double tapered FRP beam for automotive-suspension leaf spring. CompStruct. 1988::21.
  9. Al-Obaidi, A. J., Ahmed, S. J., & Sukar, H. M. (2019). The effect of factors on the flexural of thecomposite leaf spring. Materials Today: Proceedings.2019.09.190.
  10. B. Vijaya Lakshmi and I. Satyanarayana, Static and Dynamic analysis on composite leaf spring in heavy vehicle, International Journal of Advanced Engineering Research and Studies, 2012.
  11. P. Beardmore, Composite structures for automobiles, Composite Structures, 1986
  12. C.J. Morris, Composite integrated rear suspension", Composite Structures, 1986
  13. M.  Senthil Kumar and S. Vijayarangan, Design Optimization and Experimental Analysis of Composite Leaf Spring for Light Passenger Vehicle,2007
  14. L. Zhanfang and T. Junling, Study on the Optimization Design of Hydro-pneumatic Spring Based on Genetic Algorithm, Third International Conference on Measuring Technology and Mechatronics Automation, 2011
  15. Ranjeet Mithari, Amar Patil and Prof E. N. Aitavade, Analysis of Composite Leaf Spring by using Analytical & FEA, International Journal of Engineering Science and Technology,2012 
  16. Mehdi Bakhshesh and Majid Bakhshesh, Optimization of Steel Helical Spring by Composite Spring, International Journal of Multidisciplinary Sciences and Engineering,2012 
  17. Joo-teck Jeffrey KUEH and Tarlochan PARIS, Finite element analysis on the static and fatigue characteristics of composite multi- leaf spring. Journal of Zhejiang University,2012 
  18. M. Raghavedra, Syed Altaf Hussain, V. Pandurangadu and K. Palani Kumar, Modeling and Analysis of Laminated Composite Leaf Spring under the Static Load Condition by using FEA, International Journal of Modern Engineering Research,2012
  19. K. Kumar and M.L. Aggarwal, A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE Tools, Research Journal of Recent Sciences,2012
  20. Ahmet Kanbolat, Murathan Soner, Mustafa Karaagac and 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, 2011. 
  21. Mehdi Bakhshesh and Majid Bakhshesh, Optimization of Steel Helical Spring by Composite Spring, International Journal of Multidisciplinary Sciences and Engineering,2012.

Photo
Krishnaraj M.
Corresponding author

Department of Mechanical Engineering, Surya Group of Institutions School of Engineering and Technology Vikravandi, Villupuram-605 652, India

Photo
Azhaguvelu G. R.
Co-author

Department of Mechanical Engineering, Surya Group of Institutions School of Engineering and Technology Vikravandi, Villupuram-605 652, India

Photo
Ranjith Kumar R.
Co-author

Department of Mechanical Engineering, Surya Group of Institutions School of Engineering and Technology Vikravandi, Villupuram-605 652, India

Krishnaraj M.*, Ranjith Kumar R., Azhaguvelu G. R., Design, Study and Analysis of Semi Elepitical Leaf Spring for Front Axle Using Creo Analysis, Int. J. Sci. R. Tech., 2025, 2 (7), 199-206. https://doi.org/10.5281/zenodo.15836658

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