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This paper will illustrate the development of the modeling of rollover sequences. During the past few years, a lot of research has been focused on the rollover propensity of vehicles. As to what happens after the vehicle rolls over, attention is only paid to occupant kinematics and occupant injury. Some simple questions such as how many rolls in the rollover are not answered unless a rollover test is run. The rollover sequences including roll number, roll speed and roll distance are very important to the accident reconstructionists as well as design engineers. Since the cost for running a rollover test is so high today, it is very economic and time-efficient to obtain the preliminary results from a mathematical model. Roll number and roll distance versus time are to be obtained through the mathematical model which is based on several rollover tests, vehicle inertia parameters, and the Coulomb friction, a non-linear term in the equation.

The purpose of this paper is to investigate the influence of suspension roll stiffness on handling responses. A linear mathematical model is utilized to scrutinize responses on sideslip, yaw velocity and roll angle. Due to different sensitivity to suspension roll stiffness, the influence on an oversteer and an understeer vehicle is very distinct. An oversteer vehicle possesses high sensitivity to suspension stiffness at high speeds. Forward speed also plays an important role. Responses in root locus plots and steady state gains are illustrated in this study.