Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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New Evaluation and Test of Sidewall's Rotational Stiffness of Radial Tire

  • Kim Young-Woo (Department of Mechanical Engineering, Sunchon National University) ;
  • Kim Yong-Sung (Graduate Student, Department of Mechanical Engineering, Sunchon National University)
  • Published : 2006.06.01
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Abstract

In this paper, we have revisited the estimation of the rotational stiffness of sidewall of radial tire and have suggested a new method for evaluation of the rotational stiffness. Since thicknesses, and volume fractions of the constituents of sidewall are varied depending on radial position, the equivalent shear modulus of the sidewall also depends on radial position. For the estimation of rotational stiffness of sidewall's rubber, we have divided its cross-section into sufficient numbers of small parts and have calculated the equivalent shear modulus of each part of sidewall. Using the shear moduli of divided parts, we have obtained the rotational stiffness by employing in-plane shear deformation theory. This method is expected to be a useful tool in tire design since it relates such basic variables to the global stillness of tire. Applying the calculation method to a radial tire of P205/60R15, we have compared its rotational stiffness with experimental one.

Keywords

References

  1. Akasaka, T., Yamazaki, S. and Asano, K., 1984, 'An Approximate Evaluation of Rotational Stiffness of Radial Tire,' Transactions of JSCM, Vol. 10, No. 1, pp.24-31
  2. Chatterjee, A., Cusumano J. P. and Zolock, J. D., 1999, 'On Contact-Induced Standing Waves in Rotating Tires: Experiment and Theory,' Journal of Sound and Vibration, Vol. 227, No.5, pp. 1049-1081 https://doi.org/10.1006/jsvi.1999.2395
  3. Clark, S. K., 1965, 'The Rolling Tire under Load,' SAE 650493
  4. Day, R. B. and Gehman, S. D., 1963, 'Theory for the Meridian Section of Inflated Cord Tire,' Rubber Chemistry and Technology, Vol. 36, No. 1, pp. 11-27 https://doi.org/10.5254/1.3539531
  5. Dohrmann, C. R., 1998, 'Dynamics of a Tire-Wheel-Suspension Assembly,' Journal of Sound and Vibration, Vol. 205, No.5, pp. 627-642 https://doi.org/10.1006/jsvi.1997.1332
  6. Fiala, E., 1954, 'Seitenkraft am rollendem Luftreifen,' VDI, Vol. 96, pp. 937-979
  7. Frank, F., 1965, 'Grundlagen zur Berechnung der Seitenfuhrungs-Kennlinien von Luftreifen,' Kautsh. Gummi., Vol. 18, No.8, pp.515-533
  8. Huang, S. C. and Soedel, W., 1987, 'Effect of Coriolis Acceleration on the Free and Forced In-plane Vibrations of Rotating Rings on Elastic Foundation,' Journal of Sound and Vibration, Vol. 115, No.2, pp. 253-274 https://doi.org/10.1016/0022-460X(87)90471-8
  9. Jenkins, J., 1982, 'The Circumferential Contact Problem for the Belted Radial Passenger Car Tire,' Vehicle System Dynamics, Vol. 11, pp. 325-343 https://doi.org/10.1080/00423118208968703
  10. Jones, R. M., 1975, Mechanics of Composite Materials, McGraw-Hill Book Company
  11. Kamitamari, T. and Sakai, H., 1985, 'A Study on Radial Tire Vibration,' SAE 852185, pp. 153-158
  12. Kennedy, R. H., Patel, H. P. and McMinn, M. S., 1982, 'Radial Truck Tire Inflation Analysis: Theory and Experiment,' Rubber Chemistry and Technology, Vol. 54, pp. 751-766
  13. Kim, Yong-woo and Kim, J. G., 2003, 'Calculation of Sidewall Lateral Stiffness of a Radial Tire Using Material Properties of Rubber Compounds,' Transactions of KSME, Vol. 27, No. 10, pp. 1667-1675 https://doi.org/10.3795/KSME-A.2003.27.10.1667
  14. Pacejka, H., 1981, 'Tire In-plane Dynamics,' in Mechanics of Pneumatic Tires edited by Clark, S. K., pp. 726-784
  15. Padovan, J., 1976, 'On Viscoelasticity and Stand Waves in Tires,' Tire Science and Technology, Vol. 4, No.4, p.233 https://doi.org/10.2346/1.2167224
  16. Potts, G. R., Bell, C. A., Charek, L. T. and Roy, T. K., 1977, 'Tire Vibrations,' Tire Science and Technology, Vol. 5, No.4, pp. 202-225 https://doi.org/10.2346/1.2167240
  17. Robecchi, E. and Amichi, L., 1973, 'Mechanics of the Inflated Tire,' Tire Science and Technology, Vol. 1, No.3, pp. 290-345 https://doi.org/10.2346/1.2167169
  18. Stutts, D. S. and Soedel, W., 1992, 'A Simplified Dynamic Model of the Effect of Internal Damping on the Rolling Resistance in Pneumatic Tires,' Journal of Sound and Vibration, Vol. 155, No. 1, pp. 153-164 https://doi.org/10.1016/0022-460X(92)90652-E
  19. Takayama, M. and Yamagishi, K., 1984, 'Simulation Model for Tire Vibration,' Tire Science and Technology, Vol. 11, No. 1, pp. 38-49 https://doi.org/10.2346/1.2150977
  20. Tielking, J. T., 1965, 'Plane Vibration Characteristics of a Pneumatic Tire Model,' SAE 650492