Magic Formula is a widely used tyre model for steady-state applications. In this paper, a method for using Magic Formula to describe the induced longitudinal force, generated at pure cornering, is proposed. In fact, by using a previous theoretical approach, which describes the tyre tread deformation in the longitudinal direction at pure cornering, it is proposed an expression for the longitudinal slip, which is used as an input variable for Magic Formula longitudinal force model. Then, the original version of Magic Formula is used and the modelling results show better agreement with measurements data. Besides, in the present application, the induced longitudinal slip is calculated based exclusively on the tyre deformation. However, as the sideslip angle rises, the tyre tread slides relatively to the road surface and this sliding also contributes to the induced longitudinal slip. Therefore, further investigations and advanced modelling of the tyre deformation could help to better estimate this induced longitudinal slip. Moreover, advanced versions of Magic Formula, which propose expressions of the different parameters as function of vertical load or inflation pressure, may be considered to provide a complete extension of Magic Formula model.
Using the Magic Formula model for induced longitudinal force at pure lateral slip
International Journal of Vehicle Design ; 59 , 4 ; 305-314
2012
10 Seiten, 4 Bilder, 1 Tabelle, 8 Quellen
Article (Journal)
English
Using the Magic Formula model for induced longitudinal force at pure lateral slip
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