ABSTRACT
ABSTRACT: A simple mechanical model of a towed rigid wheel is constructed in which the elasticity of the king pin is considered in both the longitudinal and the lateral directions. The equations of motion are derived and presented for the rolling case. The cornering manoeuvre of the towed wheel is investigated with respect to the linear stability and the non-linear vibrations. Linear stability boundary of the uniform motion is determined for different cornering radii. The sense of the related Hopf bifurcation is determined by numerical continuation technique. Bifurcation diagrams are composed to show the basin of attraction of the stable uniform motion.
