Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Rotation matrices are a tool to represent finite rotation. As well known, the product of matrices is not commutative, in general.
- 2.
More precisely, the axis must share the same direction. The origin can be different.
- 3.
Classical Euler angles use the sequence (3, 1, 3).
- 4.
In this chapter the symbol q is a component of \(\varvec{\Omega }\). Therefore, we use the symbol d for the height of the no-roll center Q (Fig. 9.1).
- 5.
The components p, q and r of \(\varvec{\Omega }\) cannot be given, in general, as time derivatives of an angle.
- 6.
- 7.
References
Bastow D, Howard G, Whitehead JP (2004) Car suspension and handling, 4th edn. SAE International, Warrendale
Blundell M, Harty D (2004) The multibody systems approach to vehicle dynamics. Butterworth–Heinemann
Dixon JC (1991) Tyres, suspension and handling. Cambridge University Press, Cambridge
Ellis JR (1994) Vehicle handling dynamics. Mechanical Engineering Publications, London
Font Mezquita J, Dols Ruiz JF (2006) La Dinámica del Automóvil. Editorial de la UPV, Valencia
Gillespie TD (1992) Fundamentals of vehicle dynamics. SAE International, Warrendale
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, Monastir
Meirovitch L (1970) Methods of analytical dynamics. McGraw-Hill, New York
Milliken WF, Milliken DL (1995) Race car vehicle dynamics. SAE International, Warrendale
Shim T, Velusamy PC (2011) Improvement of vehicle roll stability by varying suspension properties. Veh Syst Dyn 49(1–2):129–152
Wong JY (2001) Theory of ground vehicles. Wiley, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Guiggiani, M. (2018). Handling with Roll Motion. In: The Science of Vehicle Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-73220-6_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-73220-6_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-73219-0
Online ISBN: 978-3-319-73220-6
eBook Packages: EngineeringEngineering (R0)