The paper presents an analytical approach for estimating the longitudinal and the lateral adhesive coefficients between the tyre and the road surface through the Pacejka 'magic formula' tyre model for both pure-slip and combined-slip conditions. The Pacejka 'magic formula' tyre model describes the relationship between the normal force and the adhesive force. The relationship between the vehicle velocity and the parameters of the Pacejka 'magic formula' tyre model is discussed in the study. One may analyse the adhesive coefficient through genetic algorithm identification to search for the parameters of the Pacejka 'magic formula' tyre model from experimental data. A test stand is set up for adhesive force experiments. Only brake slip is studied in the experiments.
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