Analysis of Vehicle Kinematics in Laboratory-based Rollover Test Modes <xref rid="FN_1" ref-type="fn">1</xref>

A two-dimensional analytical model is developed by solving the differential equations which describe the motion of a vehicle in laboratory-based rollover events. The model is based on a rigid-body kinematics assumption for the entire vehicle.

Three cases are studied: the first case deals with determination of the Critical Sliding Velocity of a vehicle rolls over from a tilt table, the second case considers rollover of a vehicle which sits on a platform traveling at a velocity V which is suddenly stops, and the third one repeats the second problem except that the platform is brought to stop according to a given deceleration profile, thus simulating the SAE J2114 rollover test procedure.

For the SAE J2114 rollover test procedure simulation, the analytical results are compared with those obtained from MADYMO-based rollover model. A comparison shows that this analytical method is simple enough to understand the basic rollover kinematics, thus providing a first approximation of the angular velocity for sensor study.