Dynamics of a Rigid Body During a Slipping Motion on a Vibratory Conveyor

This paper presents research on the optimisation of a vibratory transport on an assembly line. The study covers a special case of vibratory transport characterised by uninterrupted contact between the transported body and the vibratory trough's surface, and the interaction is modelled using Coulomb's model with stiction. In the first phase of the research, an analysis of external forces acting on the body during relative motion is conducted, and the conditions for non-hopping vibratory regimes are defined. The differential equations of relative motion are derived, and the precise moments at which relative sliding on the vibratory conveyor occurs are analytically determined. The proposed theoretical model of vibratory motion is validated with computer simulations performed in SolidWorks Motion Analysis. The obtained simulation results confirm the analytical predictions and are discussed in detail at the end of the paper.