Mathematical Model for Vehicle Roll Over Detection

Dileepan Anandan, Pruthvi Krishnamurthy

Abstract: Lateral Dynamics plays an important role in Vehicle Dynamics which has a huge impact in Roll Over. CG Height and Wheel Track are the two parameters which decide the Static Stability Factor of the Vehicle. During Transient Condition the threshold value will differ widely from SSF. In order to detect the roll over during transient condition a Mathematical Model is created in Simulink. A Tire Model is developed in order to increase the accuracy of the results. This Mathematical Model will give an insight about the maximum Vehicle Speed and Steer Angle at which the vehicle can turn during a corner without roll over.

Keywords: Roll Over, Simulink, Slip Angle, Brush Model, Transient, Stability Factor, Roll Damping Moment