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An improved friction model and its implications for the slip, the frictional energy, and the cornering force and moment of tires

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Abstract

An improved friction model was proposed with consideration of the effect of the sliding speed, the contact pressure and the temperature, and it was implemented into a user subroutine of a commercial FEM code, ABAQUS/Explicit. Then, a smooth tire was simulated for free rolling, driving, braking and cornering situations using the improved friction model and the Coulomb friction model, and the effect of the friction models on the slip, the frictional energy distribution and the cornering force and moment was analyzed. For the free rolling, the driving and the braking situations, the improved friction model and the Coulomb friction model resulted in similar profiles of the slip and the frictional energy distributions although the magnitudes were different. The slips obtained from the simulations were in a good correlation with experimental data. For the cornering situation, the Coulomb friction model with the coefficient of friction of 1 or 2 resulted in lower or higher cornering forces and moments than experimental data. In addition, in contrast to experimental data it did not result in a maximum cornering force and a decrease of the cornering moment for the increase of the speed. However, the improved friction model resulted in similar cornering forces and moments to experimental data, and it resulted in a maximum cornering force and a decrease of the cornering moment for the increase of the speed, showing a good correlation with experimental data.

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References

  • ABAQUS, 2000,User’s Manual, Hibbit, Karlsson & Sorenson, Inc., Version 5.8.

  • Berthelot, J.-M., 1997,Composite Materials Mechanical Behavior and Structural Analysis, Springer.

  • Clark, S. K., 1981,Mechanics of Pneumatic Tires, U. S. Department of Transportation, NHTSA, Washington D. C., DOT HS805-952.

    Google Scholar 

  • Dorsch, V., Becker, A. and Vossen, L., 2002, “Enhanced Rubber Friction Model for Finite Element Simulations of Rolling Tires,”Plastics, Rubber and Composites, Vol. 31, pp. 458–464.

    Article  Google Scholar 

  • Gall, R., Tabaddor, F., Robbins, D., Majors, P., Sheperd, W. and Johnson, S., 1995, “Some Notes on the Finite Element Analysis of Tires,”Tire Science and Technology, TSTCA, Vol. 23, No. 3, July–September, pp. 175–188.

    Article  Google Scholar 

  • Goldstein, A. A., 1996, “Finite Element Analysis of a Quasi-Static Rolling Tire Model for Determination of Truck Tire Forces and Moments,”Tire Science and Technology, TSTCA, Vol. 24, No. 4, October–December, pp. 278–293.

    Article  Google Scholar 

  • Kabe, K. and Koishi, M., 2000, “Tire Cornering Simulation Using Finite Element Analysis,”Journal of Applied Polymer Science, Vol. 78, pp. 1566–1572.

    Article  Google Scholar 

  • Kao, B. G. and Muthukrishnan, M., 1997, “The Transient Analysis with an Explicit Finite Element Program,”Tire Science and Technology, TSTCA, Vol. 25, No. 4, October–December, pp. 230–244.

    Article  Google Scholar 

  • Lee, D.-J., Nahm, S.-W., Jeong, H.-Y. and Kim, Y.-H., 2001, “A New Friction Model and Its Implications for the Frictional Energy and the Contact Forces,” 20th Annual Meeting and Conference on Tire Science and Technology.

  • Persson, B. N. J., 2001, “Theory of Rubber Friction and Contact Mechanics,”Journal of Chemical Physics, Vol. 115, pp. 3840–3861.

    Article  Google Scholar 

  • Wang, T.-M, Daniel, I. M. and Huang, K., 1996, “Stress Analysis of Tire Sections,”Tire Science and Technology, TSTCA, Vol. 24, No. 4, October–December, pp. 349–366.

    Article  Google Scholar 

  • Williams, M. L., Landel, R. F. and Ferry, J. D., 1955,Journal of American Chemistry Society, Vol. 77, p. 3701.

    Article  Google Scholar 

  • Wu, S. R., Gu, L. and Chen, H., 1997, “Airbag Tire Modeling by the Explicit Finite Element Method,”Tire Science and Technology, TSTCA, Vol. 25, No. 4, October–December, pp. 288–300.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Sogang University, 1 Shinsoo-Dong, Mapo-Gu, 121-742, Seoul, Korea

    K. -S. Park, C. -W. Oh, T. -W. Kim & Hyun-Yong Jeong

  2. Hankook Tire R & D Center, 23-1 Jang-Dong, Yuseong-Gu, 305-343, Daejun, Korea

    Y. -H. Kim

Authors
  1. K. -S. Park
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  2. C. -W. Oh
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  3. T. -W. Kim
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  4. Hyun-Yong Jeong
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  5. Y. -H. Kim
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Correspondence to Hyun-Yong Jeong.

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Park, K.S., Oh, C.W., Kim, T.W. et al. An improved friction model and its implications for the slip, the frictional energy, and the cornering force and moment of tires. J Mech Sci Technol 20, 1399–1409 (2006). https://doi.org/10.1007/BF02915963

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  • DOI: https://doi.org/10.1007/BF02915963

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