Vehicle Model for Handling and Performance

  • Massimo GuiggianiEmail author


At the beginning of this chapter, the simplifying assumptions to formulate a simple, yet significant, vehicle model are listed. Then the kinematics of the vehicle as a whole is described in detail, followed by the kinematics of each wheel with tire. The next step is the formulation of the constitutive (tire) equations and of the global equilibrium equations. A lot of work is devoted to the load transfers, which requires an in depth suspension analysis. This leads to the definition of the suspension and vehicle internal coordinates, of the no-roll centers and no-roll axis, for both independent and dependent suspensions. The case of three-axle vehicles is also considered. In the end, the vehicle model for handling and performance is formulated in a synthetic, yet precise way. A general description of the mechanics of differential mechanisms, either open or limited-slip is included.


  1. 1.
    Barnard RH (2001) Road Vehicle Aerodynamic Design, 2nd edn. Mechaero Publishing, HertfordshireGoogle Scholar
  2. 2.
    Dixon JC (1991) Tyres. Cambridge University Press, Cambridge, Suspension and HandlingGoogle Scholar
  3. 3.
    Dixon JC (2009) Suspension Geometry and Computation. Wiley, ChichesterGoogle Scholar
  4. 4.
    Ellis JR (1994) Vehicle Handling Dynamics. Mechanical Engineering Publications, LondonGoogle Scholar
  5. 5.
    Genta G, Morello L (2009) The Automotive Chassis, vol 1. Springer, BerlinCrossRefGoogle Scholar
  6. 6.
    Gillespie TD (1992) Fundamentals of Vehicle Dynamics. SAE International, WarrendaleCrossRefGoogle Scholar
  7. 7.
    Guiggiani M, Mori LF (2008) Suggestions on how not to mishandle mathematical formulæ. TUGboat 29:255–263Google Scholar
  8. 8.
    Jazar RN (2014) Vehicle Dynamics, 2nd edn. Springer, New YorkCrossRefGoogle Scholar
  9. 9.
    Longhurst C (2013)
  10. 10.
    Meirovitch L (1970) Methods of Analytical Dynamics. McGraw-Hill, New YorkzbMATHGoogle Scholar
  11. 11.
    Milliken WF, Milliken DL (1995) Race Car Vehicle Dynamics. SAE International, WarrendaleGoogle Scholar
  12. 12.
    Pacejka HB (2002) Tyre and Vehicle Dynamics. Butterworth-Heinemann, OxfordGoogle Scholar
  13. 13.
    Pauwelussen JP (2015) Essentials of Vehicle Dynamics. Butterworth-Heinemann, OxfordGoogle Scholar
  14. 14.
    Rajamani R (2012) Vehicle Dynamics and Control, 2nd edn. Springer, New YorkCrossRefGoogle Scholar
  15. 15.
    Segers J (2008) Analysis Techniques for Racecar Data Acquisition. SAE International, WarrendaleGoogle Scholar
  16. 16.
    Seward D (2014) Race Car Design. Palgrave, LondonCrossRefGoogle Scholar
  17. 17.
    Smith C (1978) Tune to Win. Aero Publishers, FallbrookGoogle Scholar
  18. 18.
    Williams DE (2011) On the equivalent wheelbase of a three-axle vehicle. Vehicle System Dynamics 49(9):1521–1532CrossRefGoogle Scholar
  19. 19.
    Williams DE (2012) Generalised multi-axle vehicle handling. Vehicle System Dynamics 50(1):149–166MathSciNetCrossRefGoogle Scholar
  20. 20.
    Wong JY (2001) Theory of Ground Vehicles. John Wiley & Sons, New YorkGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

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

Personalised recommendations