A note on the dynamics of a vibromachine with parametric excitation

In this note, the dynamics of a vibration machine with piecewise linear elastic ties under parametric harmonic excitation is further investigated. Attention was concentrated on the dynamical behaviour of the system in the regions of several system parameters, both with and without physically realistic parameters. Based on numerical simulations, several typical motions were found, showing some new and interesting results. Chaos, as well as periodic motion was found readily for physically unrealistic parameters. The route to chaos is shown to be via period-doubling bifurcations. For the physically realistic parameters, however, chaotic motion with small amplitude oscillations was found.