Title: A physical model for induced longitudinal force on tyre during steady-state pure cornering

Authors: Rimyalegdo Kiebre, Floriane Anstett-Collin, Michel Basset

Addresses: MIPS Laboratory, University of Haute Alsace, ENSISA Lumiere, 12 rue des freres Lumiere, 68093 Mulhouse cedex, France. ' MIPS Laboratory, University of Haute Alsace, ENSISA Lumiere, 12 rue des freres Lumiere, 68093 Mulhouse cedex, France. ' MIPS Laboratory, University of Haute Alsace, ENSISA Lumiere, 12 rue des freres Lumiere, 68093 Mulhouse cedex, France

Abstract: This paper takes an interest in the tyre/road interface longitudinal force generated during steady-state pure cornering (also termed pure lateral slip or pure side slip). The corresponding force is referred as |induced longitudinal force|. This force has been neglected until now in tyre/road interface forces modelling for the reason that it has been assumed insignificant for some types of tyres. However, in the present study, longitudinal force data recorded during pure cornering of a civil aircraft tyre have shown significant magnitude when they are compared with the corresponding lateral force magnitude. Thus, for this type of tyres, neglecting this force might lead to an inaccurate representation of the real tyre behaviour. The Poisson ratio, which describes the contraction of an incompressible material when it is stretched in one direction, is taken into account in a comprehensive physical approach to describe the generation of this force. It is shown that this induced longitudinal force acts as a braking force on the tyre. The developed model is validated using longitudinal force measurement data.

Keywords: longitudinal force; pure lateral slip; tyre-road modelling; physical models; steady-state pure cornering; pure side slip; civil aircraft tyres; tyre behaviour; braking force.

DOI: 10.1504/IJVSMT.2010.037124

International Journal of Vehicle Systems Modelling and Testing, 2010 Vol.5 No.2/3, pp.161 - 175

Published online: 25 Nov 2010 *

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