SEPARATION DYNAMICS IN A HALF-CAR MODEL

Abstract

The paper explores the vibration dynamics of a half-car model, focusing
on whether the tires maintain contact with the road surface. A set of
differential equations is developed to capture the two distinct states: with and
without tire contact. A separation condition is applied to both tires, enabling
a comparison of dynamic responses in these states. The vertical and roll
dynamics are examined in relation to changes in vehicle structure and road
inputs. The results demonstrate that the new model, incorporating the
separation assumption, offers greater accuracy compared to previous vehicle
vibration studies. Ultimately, this research provides novel insights that can
inform future suspension design, as well as help develop effective control
strategies to prevent rollovers and ensure lateral stability.