Skip to main content
Log in

Novel method for equivalent stiffness and Coulomb’s damping ratio analyses of leaf spring

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The leaf spring is a representative type of laminated structure. Based on the linear theories of curve beams, the first derivatives of the leave’s status-vector of the leaf spring are provided. The first derivatives of the combination status-vector are obtained by properly dealing with the nonlinear interacted forces between adjacent leaves. Moreover, the precise integration technology and the transform matrix method are introduced to solve the equations. The force-displacement curve of a leaf spring is then calculated separately by using the present method and the finite element software ANSYS. From the results, the precision and advantages of the present methods for analyzing the leaf spring are revealed. The Coulomb’s damping ratio of the leaf spring is studied by using the present method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. A. Osipenko, Yu. I. Nyashin and R. N. Rudakov, A contact problem in the theory of leaf spring bending, International Journal of Solids and Structures, 40(12) (2003) 3129–3136.

    Article  MATH  Google Scholar 

  2. E. Zahavi, Analysis of a contact problem in leaf springs, Mechanics Research Communications, 19(1) (1992) 21–27.

    Article  MATH  Google Scholar 

  3. M. M. Shokrieh and D. Rezaei, Analysis and optimization of a composite leaf spring, Composite structures, 60 (2003) 317–325.

    Article  Google Scholar 

  4. N. J. Nigro and S. P. Bhatia, Equivalent one-dimensional system for analysis of taper leaf springs, Journal of Engineering for Industry, Transactions of the ASME, 98(1) (1976) 39–42.

    Article  Google Scholar 

  5. H. Sugiyama, A. A. Shabana, M. A. Omar et al., Develop of nonlinear elastic leaf spring model for multibody vehicle systems, Computer methods in applied mechanics and engineering, 195 (2006) 6925–6941.

    Article  MATH  Google Scholar 

  6. A. R. Muhammad and A. K. Muhammad, Inelastic deformations of stainless steel leaf springs-experiment and nonlinear analysis, Meccanica, 45 (2010) 503–518.

    Article  Google Scholar 

  7. W. Zhong, On precise time-integration method for structural dynamics, Journal of Dalian University of Technology, 34(2) (1994) 131–136.

    MathSciNet  MATH  Google Scholar 

  8. W. Wu, Y. Xiang and J. Chen, Analyze the stiffness of leaf springs based on precise integration technology, Journal of Wuhan University of Technology, 32(10) (2010) 78–81.

    Google Scholar 

  9. Y. Xiang, Y. Huang and J. Huang, A method of homogenization of high precision direct integration, Journal of Huazhong University of Science and Technology (Natural Science Edition), 30(11) (2002) 74–76.

    Google Scholar 

  10. W. Ji, T. Fang and S. Chen, The variation of mechanics, Science Press, Beijing, China (1985) 81–84.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wen-jun Wu.

Additional information

Recommended by Associate Editor Heung Soo Kim

Wen-jun Wu currently works as a lecturer at the Department of Automobile Engineering at GuangXi University of Technology, China. He is also currently pursuing his Ph.D at the Beijing Institute of Technology, China. His research interests include computational mechanics, attitude control of spacecraft, and vibration control of complex structures.

Le-mei Zhu is a Ph.D candidate from the Beijing Institute of Technology, China. Her research interests include adaptive control, spacecraft attitude control, and sloshing suppression.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, Wj., Zhu, Lm., Yu, X. et al. Novel method for equivalent stiffness and Coulomb’s damping ratio analyses of leaf spring. J Mech Sci Technol 26, 3533–3538 (2012). https://doi.org/10.1007/s12206-012-0866-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-012-0866-9

Keywords

Navigation