Skip to main content
Log in

Micromechanically consistent calculation of rotational stiffness of radial tire

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

Abstract

The rotational stiffness of a radial tire is one of the most important structural properties of the sidewall, and it has been evaluated conventionally by using a simplified model. However, in this paper, it is found that the conventional shear modulus used for the calculation of the stiffness is not micromechanically consistent. We examine the conventional shear modulus of the sidewall from the viewpoint of micromechanics, and present a new micromechanically consistent shear modulus for evaluating the rotational stiffness attributed to the shear deformation of sidewall. The developed method is discussed and rationalized through an approximate quantitative analysis. The calculation based on the micromechanically consistent shear modulus is validated by comparing it with experimental stiffness and the conventionally-calculated stiffness.

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. E. Robecchi and L. Amichi, Mechanics of the inflated tire, Tire Science and Technology, 1(3) (1973) 290–345.

    Article  Google Scholar 

  2. R. H. Kennedy, H. P. Patel and M. S. McMinn, Radial truck tire inflation analysis: theory and experiment, Rubber Chemistry and Technology, 54 (1982) 751–766.

    Google Scholar 

  3. E. Fiala, Seitenkraft am rollenden Luftreifen, Z. VDI, 96(26) (1954) 937–979.

    Google Scholar 

  4. M. Takayama and K. Yamagishi, Simulation model for tire vibration, Tire Science and Technology, 11(1) (1984) 38–49.

    Article  Google Scholar 

  5. J. T. Tielking, Plane vibration characteristics of a pneumatic tire model, SAE 650492 (1965).

  6. G. R. Potts, C. A. Bell, L. T. Charek and T. K. Roy, Tire vibrations, Tire Science and Technology, 5(4) (1977) 202–225.

    Article  Google Scholar 

  7. T. Kamitamari and H. Sakai, A study on radial tire vibration, SAE 852185 (1985) 153–158.

    Google Scholar 

  8. S. C. Huang and W. Soedel, Effect of Coriolis acceleration on the free and forced in-plane vibrations of rotating rings on elastic foundation, Journal of Sound and Vibration, 115(2) (1987) 253–274.

    Article  Google Scholar 

  9. H. Pacejka, Tire in-plane dynamics, in Mechanics of Pneumatic Tires edited by Clark, S. K., (1981) 726–784.

  10. C. R. Dohrmann, Dynamics of a tire-wheel-suspension assembly, Journal of Sound and Vibration, 205(5) (1998) 627–642.

    Article  Google Scholar 

  11. J. Padovan, On viscoelasticity and stand waves in tires, Tire Science and Technology, 4(4) (1976) 233.

    Article  Google Scholar 

  12. A. Chatterjee, J. P. Cusumano and J. D. Zolock, On contact-induced standing waves in rotating tires: experiment and theory, Journal of Sound and Vibration, 227(5) (1999) 1049–1081.

    Article  Google Scholar 

  13. J. Jenkins, The circumferential contact problem for the belted radial passenger car tire, Vehicle System Dynamics, 11 (1982) 325–343.

    Article  Google Scholar 

  14. D. S. Stutts and W. Soedel, A simplified dynamic model of the effect of internal damping on the rolling resistance in pneumatic tires, Journal of Sound and Vibration, 155(1) (1992) 153–164.

    Article  Google Scholar 

  15. T. Akasaka, S. Yamazaki and K. Asano, An approximate evaluation of rotational stiffness of radial tire, Transactions of JSCM, 10(1) (1984) 24–31.

    Google Scholar 

  16. Y.-W. Kim and Y. Kim, New evaluation and test of sidewall’s rotational stiffness of radial tire, Journal of Mechanical Science and Technology, 20(6) (2006) 748–758.

    Article  Google Scholar 

  17. Y.-W. Kim, New sidewall contour for evaluation of sidewall’s rotational stiffness of a radial tire, Journal of Mechanical Science and Technology, 22(1) (2008) 2–11.

    Article  Google Scholar 

  18. R. M. Jones, Mechanics of Composite Materials. McGraw-Hill Book Company, (1975).

  19. Y.-W. Kim and J. G. Kim, Calculation of sidewall lateral stiffness of a radial tire using material properties of rubber compounds, Transactions of the Korean Society of Mechanical Engineers, A(10) (2003) 1667–1675.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yong-Woo Kim.

Additional information

This paper was recommended for publication in revised form by Associate Editor Jeong Sam Han

Yong-Woo Kim received his Bachelor degree in Mechanical Engineering from Yonsei University, Seoul, Korea, in 1982, and his Ph.D. degree from Yonsei Graduate School in 1991. Dr. Kim is currently Professor at Department of Mechanical Engineering at Sunchon National University in Sunchon, Korea. Dr. Kim’s research interests include structural analysis, machine design, and tire mechanics.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, YW. Micromechanically consistent calculation of rotational stiffness of radial tire. J Mech Sci Technol 23, 1294–1305 (2009). https://doi.org/10.1007/s12206-009-0401-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-009-0401-9

Keywords

Navigation