Tire Vibration

  • Yukio NakajimaEmail author


Vibration properties are fundamental properties of tires related to riding comfort and tire noise. The noise, vibration and ride harshness (NVH) of a vehicle are classified according to the riding comfort at a low frequency below 50 Hz and the interior noise in wide frequency range from 20 Hz to a few thousand Hertz.


  1. 1.
    JSAE (ed.) , Handbook of vehicle technology, Fundamentals and Theory (in Japanese) (JSAE, 2008), p. 325Google Scholar
  2. 2.
    J.T. Tielking, Plane Vibration Characteristics of A Pneumatic Tire Model (SAE Paper, No. 650492, 1965)Google Scholar
  3. 3.
    F. Böhm, Mechanik des Gurtelreifens. ATZ 69(8), 255–261 (1967)Google Scholar
  4. 4.
    S.K. Clark (ed.), Mechanics of pneumatic tires, in The Tire as a Vehicle Component, ed. by H.B. Pacejka (National Bureau of Standards, Washington, DC, 1971)Google Scholar
  5. 5.
    S.K. Clark (ed.), Mechanics of pneumatic tires, in Analysis of tire properties (Chapter 9), ed. by H.B. Pacejka (U.S. Department of Transportation, 1981)Google Scholar
  6. 6.
    S. Saigal et al., Free vibrations of a tire as a toroidal membrane. J. Sound Vib. 107, 71–82 (1986)CrossRefGoogle Scholar
  7. 7.
    W. Soedel, On the dynamic response of rolling tires according to thin shell approximations. Tire Sci. Technol. 41, 233–246 (1975)Google Scholar
  8. 8.
    R.F. Keltie, Analytical model of the truck tire vibration sound mechanism. J. Acoust. Soc. Am. 71, 359–367 (1982)CrossRefGoogle Scholar
  9. 9.
    T.L. Richards, Finite element analysis of structural-acoustic coupling in tires. J. Sound Vib. 149, 235–243 (1991)CrossRefGoogle Scholar
  10. 10.
    Y. Nakajima et al., Application of the boundary element method and modal analysis to tire acoustics problem. Tire Sci. Technol. 21, 66–90 (1993)CrossRefGoogle Scholar
  11. 11.
    H. Sakai, Tire Engineering (in Japanese), (Guranpuri-Shuppan, 1987)Google Scholar
  12. 12.
    D.R. Potts et al., Tire vibration. Tire Sci. Technol. 3(2), 86–114 (1977)Google Scholar
  13. 13.
    S.C. Huang, W. Soedel, Response of rotating rings to harmonic and periodic loading and comparison with the inverted problem. J. Sound Vib. 118(2), 253–270 (1987)CrossRefGoogle Scholar
  14. 14.
    S.C. Huang, The vibration of rolling tyres in ground contact. Int. J. Vehicle Design 13(1), 78–95 (1992)Google Scholar
  15. 15.
    S.C. Huang, C.K. Su, In-plane dynamics of tires on the road based on an experimentally verified rolling ring model. Vehicle Syst. Dyn. 21, 247–267 (1992)CrossRefGoogle Scholar
  16. 16.
    S. Gong, A Study of In-Plane Dynamics of Tires, Ph. D. Thesis, Delft University of Technology, 1993Google Scholar
  17. 17.
    T. Akasaka, M. Hirano, The lowest natural frequency. Fukugo Zairyo 2(2), 38–40 (1973)Google Scholar
  18. 18.
    T. Akasaka et al., Vibration characteristics of radial tire. Bull. Fac. Eng., Chuo Univ. 22, 279–303 (1979)Google Scholar
  19. 19.
    Y.T. Wei et al., Ring Model for Pneumatic Tires. Tsinghua Sci. Technol. 7(5), 496–501 (2002)Google Scholar
  20. 20.
    J.W. Bryan, On the beats in the vibrations of a revolving cylinder or shell. P. Camb. Philos. Soc. 3, 101 (1890)Google Scholar
  21. 21.
    P.W.A. Zegelaar, The Dynamic Response of Tires to Brake Torque Variations and Road Unevennesses, Ph. D. Thesis, Delft University of Technology, 1998Google Scholar
  22. 22.
    M. Matsubara et al., Tire vibration analysis of radial direction on the restraint effect of contact condition. Trans. JSME 80(811), D0047 (2014)Google Scholar
  23. 23.
    M. Matsubara et al., Tire vibration analysis for radial direction on contact and rolling condition. Trans. JSME 80(811), D0048 (2014)Google Scholar
  24. 24.
    I. Kido, Tire and Road Input Modeling for Low-Frequency Road Noise Prediction, (SAE Paper, No. 2011-01-1690, 2011)Google Scholar
  25. 25.
    D. Belluzzo et al., New predictive model for the study of vertical forces (up to 250 Hz) induced on the tire hub by road irregularities. Tire Sci. Technol. 30(1), 2–18 (2002)CrossRefGoogle Scholar
  26. 26.
    J.D. Walter et al., Advances in tire composite theory. Tire Sci. Technol. 1(2), 210–250 (1973)CrossRefGoogle Scholar
  27. 27.
    M. Takayama, K. Yamagishi, Simulation model of tire vibration. Tire Sci. Technol. 11(1–4), 38–49 (1984)Google Scholar
  28. 28.
    Y.T. Wei et al., Analysis of forced transient response for rotating tires using REF models. J. Sound Vib. 320, 145–162 (2009)CrossRefGoogle Scholar
  29. 29.
    A.J.C. Schmeitz, A Semi-Empirical Model of Pneumatic Tire Rolling Over Arbitrarily Uneven Road Surfaces, Ph.D. Thesis, Delft University of Technology, 2004Google Scholar
  30. 30.
    C.W. Mousseau, S.K. Clark, An analytical and experimental study of a tire rolling over a stepped obstacle at low velocity. Tire Sci. Technol. 22(3), 162–181 (1994)CrossRefGoogle Scholar
  31. 31.
    H.Yamada, et al., Introduction of tire model for prediction of riding quality (in Japanese),in Proceedings of the JSAE Conference, Paper No. 20025068, 2002Google Scholar
  32. 32.
    H.R. Dorfi, A Study of the in-plane force transmission of tires. Tire Sci. Technol. 32(4), 188–213 (2004)CrossRefGoogle Scholar
  33. 33.
    J.M. Badalamenti, G.R. Doyle Jr., Radial-interradial spring tire models. J. Vib. Acoust. Stress Reliab 110(1), 70–75 (1988)CrossRefGoogle Scholar
  34. 34.
    A. Kamoulakos, B.G. Kao, Transient dynamics of a tire rolling over small obstacles—a finite element approach with PAM-SHOCK. Tire Sci. Technol. 26(1), 84–108 (1998)CrossRefGoogle Scholar
  35. 35.
    J.R. Cho et al., Transient dynamic response analysis of 3-d patterned tire rolling over cleat. Eur. J. Mech. A-Solid 24(3), 519–531 (2005)CrossRefGoogle Scholar
  36. 36.
    C. Wei, O.A. Olatunbosun, Transient dynamic behaviour of finite element tire traversing obstacles with different heights. J. Terramech. 56, 1–16 (2014)CrossRefGoogle Scholar
  37. 37.
    V. Kerchman, Tire-suspension-chassis dynamics in rolling over obstacles for ride and harshness analysis. Tire Sci. Technol. 36(3), 158–191 (2008)CrossRefGoogle Scholar
  38. 38.
    H. Surendranath, M. Dunbar, Parallel computing for tire simulations. Tire Sci. Technol. 39(3), 193–209 (2011)CrossRefGoogle Scholar
  39. 39.
    Bridgestone (Ed.), Fundamentals and Application of Vehicle Tires (in Japanese), (Tokyo Denki University Press, 2008)Google Scholar
  40. 40.
    T. Akasaka et al., Deformation analysis of a radial tire based on a crossbar. Tire Sci. Technol. 21(1), 40–63 (1993)CrossRefGoogle Scholar
  41. 41.
    H. Haga, Development of tire model for large input force, in Proceedings of the JSAE Conference, (No. 20095684, 2009)Google Scholar
  42. 42.
    M. Gipser, FTIRE, a New Fast Tire Model for Ride Comfort Simulations, in International ADAMS User’s Conference, (Berlin, 1999)Google Scholar
  43. 43.
    V. Koettgen, Road loads prediction using LMS CDTire, in LMS Conference, (Europe, 2006)Google Scholar
  44. 44.
    J.M. van Oosten, H.B. Pacejka, SWIFT-Tire: an accurate tire model for ride and handling studies also at higher frequencies and short road wavelengths, in ADAMS Users’ Conference, (Orlando, 2000)Google Scholar
  45. 45.
    D.C. Davis, A radial-spring terrain-enveloping tire model. Vehicle Sys. Dyn. 3, 55–69 (1974)CrossRefGoogle Scholar
  46. 46.
    P. Bandel, C. Monguzzi, Simulation model of the dynamic behavior of a tire running over an obstacle. Tire Sci. Technol. 16(2), 62–77 (1988)CrossRefGoogle Scholar
  47. 47.
    N. Takata, et al., A consideration on analysis of ride harshness, JSAE Rev. 54–59 (1984)Google Scholar
  48. 48.
    C. Lecomte et al., A shell model for tire belt vibration. J. Sound Vib. 329, 1717–1742 (2010)CrossRefGoogle Scholar
  49. 49.
    Michelin, The tire: Mechanical and acoustic comfort, (2002). (

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mechanical Science and Engineering, School of Advanced EngineeringKogakuin UniversityHachiojiJapan

Personalised recommendations