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2023 | OriginalPaper | Chapter

9. Handling with Roll Motion

Author : Massimo Guiggiani

Published in: The Science of Vehicle Dynamics

Publisher: Springer International Publishing

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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.

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previous chapter Handling of Race Cars
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Footnotes
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 \(\boldsymbol{\Omega }\). 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 \(\boldsymbol{\Omega }\) cannot be given, in general, as time derivatives of an angle.
 
6
In Fig. 9.5 it is also quite interesting to note the camber variations due to pure roll in each type of suspension. This topic has been addressed in Sect. 3.​10.​3.
 
7
The use of the center of mass G to represent the vehicle position in Chaps. 3–8 was arbitrary as well.
 
Literature
1.
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Blundell M, Harty D (2004) The multibody systems approach to vehicle dynamics. Butterworth-Heinemann
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Dixon JC (1991) Tyres, suspension and handling. Cambridge University Press, Cambridge
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Ellis JR (1994) Vehicle handling dynamics. Mechanical Engineering Publications, London
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Font Mezquita J, Dols Ruiz JF (2006) La Dinámica del Automóvil. Editorial de la UPV, Valencia
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Gillespie TD (1992) Fundamentals of vehicle dynamics. SAE International, WarrendaleCrossRef
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. Monastir
8.
Meirovitch L (1970) Methods of analytical dynamics. McGraw-Hill, New York
9.
Milliken WF, Milliken DL (1995) Race car vehicle dynamics. SAE International, Warrendale
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Shim T, Velusamy PC (2011) Improvement of vehicle roll stability by varying suspension properties. Veh Syst Dyn 49(1–2):129–152CrossRef
11.
Wong JY (2001) Theory of ground vehicles. Wiley, New York
Metadata
Title
Handling with Roll Motion
Author
Massimo Guiggiani
Copyright Year
2023
Book
The Science of Vehicle Dynamics

Print ISBN: 978-3-031-06460-9

Electronic ISBN: 978-3-031-06461-6

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-06461-6_9

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