Using the Magic Formula model for induced longitudinal force at pure lateral slip
by Rimyalegdo Kiébré; Floriane Anstett-Collin; Michel Basset
International Journal of Vehicle Design (IJVD), Vol. 59, No. 4, 2012

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.

Online publication date: Tue, 23-Apr-2013

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