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Modeling of a Sport Utility Vehicle as it moves on two wheels studied in this paper. Our major purpose concentrated on developing a general criterion to specify rollover threshold. First, model of vehicle as it sustained on two wheels derived that its results used to develop rollover threshold of Sport Utility Vehicles. In addition, these results could be valuable to design new controllers, which are able to prevent rollover at the best state of vehicle dynamics. After vehicle modeling, appropriate model for tire forces and moments picked up from the most related and available references. Then validation accomplished as final part of modeling section. Stability of presented model studied as an important part of this paper. In order to specify rollover threshold as vehicle moves on two wheels, steady-state equations of motion used and based on steady state analyses a new criterion proposed. Next, by designing some maneuvers, simulations accomplished to show applicability of proposed criterion at different situations. As conclusion, presented criterion is more implementable and efficient than other proposed model for rollover threshold and can prospect rollover threshold at various steering angles and longitudinal speeds as model inputs.

Keywords: Rollover threshold, Rollover modeling, Rollover index, Sport Utility Vehicle, Steady-state solution

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