A review and a comparison of Dugoff and modified Dugoff formula with Magic formula

The most effective mathematical model to characterize tire behavior is the Magic formula. Current study presents a brief review of existing tire models namely Dugoff and modified Dugoff models and its comparison with Magic formula tire model. The mathematical equations represents these models were understood and the tire behavior is predicted for various normal load conditions and a comparative study is made. The longitudinal and lateral forces were plotted against slip ratio and slip angle respectively to compare with the results obtained from the Magic Formula under the same normal load conditions. This work also highlights the disadvantages of the older version of the Dugoff Model [1] when compared with the Magic Formula [2]. Furthermore, there was a new modification introduced in the Dugoff formula to make it comparable with the Magic formula at lower slip angles/slip ratios thereby reducing the error that was vividly evident in the older version of the Dugoff Model.