A nonlinear mathematical model is used to predict head motions during an automotive rear-end collision. The physical characteristics of the seat back are extremely important factors in the mechanics of the torso and head of the car occupant.
This paper studies the velocity and displacement as well as acceleration patterns of the subject's head and torso on absolute and relative bases. Once these patterns are established, mathematical experiments are performed to study the variation in patterns produced.
Specifically, the concept of the yielding seat back (damped and undamped) is studied as a design concept for attenuating the impact experienced by the subject in the rear-end collision.