Title: Sensitivity analysis for the study of influential parameters in tyre models

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

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

Abstract: This paper studies two tyre models, the Fiala model and the Pacejka model. Both models are non-linear and depend on parameters which must be identified from measurement data. A major problem is to efficiently prepare and plan the experiments. It is necessary to determine the parameters which have the greatest influence on the model output, and account for the output uncertainty which must be reduced. Therefore, the methodology presented here will help to carry out a variance-based global sensitivity analysis on both tyre models. This type of sensitivity analysis consists in studying and quantifying the contribution of each parameter to the total variance of the model output. Each parameter is classified into a hierarchy with respect to the importance of its influence. Fiala|s model depends on three parameters and it is shown that only two have a significant influence on the model output. In Pacejka|s model, which depends on seven parameters, the analysis has shown that only three parameters have a significant influence on the output. So, to improve the accuracy of these model responses, it is necessary to pay particular attention to the measurement data which help to better determine the values of their influential parameters.

Keywords: sensitivity analysis; influential parameters; nonlinear modelling; tyre models; model uncertainty; model accuracy.

DOI: 10.1504/IJVSMT.2011.039832

International Journal of Vehicle Systems Modelling and Testing, 2011 Vol.6 No.1, pp.72 - 87

Published online: 20 Apr 2011 *

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