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Mechanics of the Wheel with Tire

  • Massimo GuiggianiEmail author
Chapter

Abstract

The first goal of this Chapter is to describe the kinematics of a wheel with tire, mainly under steady-state conditions. This leads to the definitions of slips as a measure of the extent to which the wheel with tire departs from pure rolling conditions. All aspects are discussed in detail and with a critical approach, showing that the use of the slips implies neglecting some phenomena. The slip angle is also defined and discussed. It is shown that a wheel with tire resembles indeed a rigid wheel because slip angles are quite small. The relationships between the kinematics and the forces/couples the tire exchange with the road are investigated by means of experimental tests. The Magic Formula provides a convenient way to represent these functions. Finally, the mechanics of wheels with tire is summarized with the aid of quite a number of plots.

References

  1. 1.
    Bastow D, Howard G, Whitehead JP (2004) Car suspension and handling, 4th edn. SAE International, WarrendaleGoogle Scholar
  2. 2.
    Bergman W (1977) Critical review of the state-of-the-art in the tire and force measurements. SAE Preprint (770331)Google Scholar
  3. 3.
    Clark SK (ed) (2008) The pneumatic tire. NHTSA-DOT HS 810:561Google Scholar
  4. 4.
    Dixon JC (1991) Tyres, suspension and handling. Cambridge University Press, CambridgeGoogle Scholar
  5. 5.
    Font Mezquita J, Dols Ruiz JF (2006) La Dinámica del Automóvil. Editorial de la UPV, ValenciaGoogle Scholar
  6. 6.
    Gillespie TD (1992) Fundamentals of vehicle dynamics. SAE International, WarrendaleCrossRefGoogle Scholar
  7. 7.
    Jazar RN (2017) Vehicle dynamics, 3rd edn. Springer, New YorkCrossRefGoogle Scholar
  8. 8.
    Johnson KL (1985) Contact mechanics. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  9. 9.
    Leneman F, Schmeitz A (2008) MF-Tyre/MF-Swift 6.1.1. TNO Automotive, HelmondGoogle Scholar
  10. 10.
    Meirovitch L (1970) Methods of analytical dynamics. McGraw-Hill, New YorkzbMATHGoogle Scholar
  11. 11.
    Michelin (2001) The tyre encyclopaedia. Part 1: grip. Société de Technologie Michelin, Clermont–Ferrand, [CD-ROM]Google Scholar
  12. 12.
    Michelin (2002) The tyre encyclopaedia. Part 2: comfort. Société de Technologie Michelin, Clermont–Ferrand, [CD-ROM]Google Scholar
  13. 13.
    Michelin (2003) The tyre encyclopaedia. Part 3: rolling resistance. Société de Technologie Michelin, Clermont–Ferrand, [CD-ROM]Google Scholar
  14. 14.
    Milliken WF, Milliken DL (1995) Race car vehicle dynamics. SAE International, WarrendaleGoogle Scholar
  15. 15.
    Murray RM, Li Z, Sastry SS (1994) A mathematical introduction to robot manipulation. CRC Press, Boca RatonzbMATHGoogle Scholar
  16. 16.
    NHTSA (2009) The effects of varying the levels of nitrogen in the inflation gas of tires on laboratory test performance. Report DOT HS 811 094, National Highway Traffic Safety Administration, WashingtonGoogle Scholar
  17. 17.
    Pacejka HB (1996) The tyre as a vehicle component. In: 26th FISITA congress ’96: engineering challenge human friendly vehicles, Prague, June 17–21, pp 1–19Google Scholar
  18. 18.
    Pacejka HB (2002) Tyre and vehicle dynamics. Butterworth-Heinemann, OxfordGoogle Scholar
  19. 19.
    Pacejka HB (2005) Slip: camber and turning. Veh Syst Dyn 43(Supplement):3–17CrossRefGoogle Scholar
  20. 20.
    Pacejka HB, Sharp RS (1991) Shear force development by pneumatic tyres in steady state conditions: a review of modelling aspects. Veh Syst Dyn 20:121–176CrossRefGoogle Scholar
  21. 21.
    Popov VL (2010) Contact mechanics and friction. Springer, BerlinCrossRefGoogle Scholar
  22. 22.
    Purdy JF (1963) Mathematics underlying the design of pneumatic tires. Edwards Brothers, Ann ArborGoogle Scholar
  23. 23.
    Pytel A, Kiusalaas J (1999) Engineering mechanics-statics. Brooks/Cole, Pacific GroveGoogle Scholar
  24. 24.
    Schramm D, Hiller M, Bardini R (2014) Vehicle dynamics. Springer, BerlinzbMATHGoogle Scholar
  25. 25.
    Seward D (2014) Race car design. Palgrave, LondonCrossRefGoogle Scholar
  26. 26.
    Wong JY (2001) Theory of ground vehicles. John Wiley and Sons, New YorkGoogle Scholar
  27. 27.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria Civile e IndustrialeUniversità di PisaPisaItaly

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