Title: Using the Magic Formula model for induced longitudinal force at pure lateral slip

Authors: Rimyalegdo Kiébré; Floriane Anstett-Collin; Michel Basset

Addresses: MIPS Laboratory, Université de Haute-Alsace, ENSISA Lumière, 12 rue des frères Lumière, 68093 Mulhouse cedex, France ' MIPS Laboratory, Université de Haute-Alsace, ENSISA Lumière, 12 rue des frères Lumière, 68093 Mulhouse cedex, France ' MIPS Laboratory, Université de Haute-Alsace, ENSISA Lumière, 12 rue des frères Lumière, 68093 Mulhouse cedex, France

Abstract: Magic Formula model is actually used in a context that assumes zero longitudinal slip during pure cornering. In such condition, the model does not propose any expression for longitudinal force since it is neglected. However, a recent prior study has physically described the tyre tread displacement in the longitudinal direction during pure cornering. In this paper, a method for determining longitudinal slip during pure cornering is proposed. Then, this longitudinal slip is used as an input variable for Magic Formula in order to represent the corresponding longitudinal force. The modelling results are compared with measurements data.

Keywords: Magic Formula model; induced longitudinal force; pure lateral slip; tyre modelling; tyre tread displacement; vehicle cornering.

DOI: 10.1504/IJVD.2012.048977

International Journal of Vehicle Design, 2012 Vol.59 No.4, pp.305 - 314

Received: 02 Jul 2010
Accepted: 19 Apr 2011
Published online: 23 Apr 2013 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article