Handling with Roll Motion

  • Massimo GuiggianiEmail author


The vehicle orientation is defined by means of the yaw-pitch-roll elemental rotations. Then, to define the vehicle position, a careful analysis of what happens when the vehicle rolls is performed. The key result is the definition of the Vehicle Invariant Point (VIP) as the best option for monitoring the vehicle position, and also for defining the lateral velocity and acceleration. VIP allows for a simple and systematic analysis of the vehicle three-dimensional dynamics. Among other things, it is shown that the well known roll-axis, as the axis about which the vehicle rolls, is nonsense.


  1. 1.
    Bastow D, Howard G, Whitehead JP (2004) Car suspension and handling, 4th edn. SAE International, WarrendaleGoogle Scholar
  2. 2.
    Blundell M, Harty D (2004) The multibody systems approach to vehicle dynamics. Butterworth–HeinemannGoogle Scholar
  3. 3.
    Dixon JC (1991) Tyres, suspension and handling. Cambridge University Press, CambridgeGoogle Scholar
  4. 4.
    Ellis JR (1994) Vehicle handling dynamics. Mechanical Engineering Publications, LondonGoogle 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.
    Innocenti C (2007) Questioning the notions of roll center and roll axis for car suspensions. In: Deuxieme Congres International Conception et Modelisation des Systemes Mecaniques, MonastirGoogle Scholar
  8. 8.
    Meirovitch L (1970) Methods of analytical dynamics. McGraw-Hill, New YorkzbMATHGoogle Scholar
  9. 9.
    Milliken WF, Milliken DL (1995) Race car vehicle dynamics. SAE International, WarrendaleGoogle Scholar
  10. 10.
    Shim T, Velusamy PC (2011) Improvement of vehicle roll stability by varying suspension properties. Veh Syst Dyn 49(1–2):129–152CrossRefGoogle Scholar
  11. 11.
    Wong JY (2001) Theory of ground vehicles. Wiley, New YorkGoogle Scholar

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© 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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