Vibratory manipulation of elastically unconstrained part on a horizontal plane

Abstract

Theoretical and experimental investigation of thepart motion on an excited in two perpendicular directionshorizontal plane is analyzed in presented paper. Themathematical models of vibratory displacement, as planemoves along circular or elliptical trajectories, were made.By the simulation and experiments, motion trajectories ofthe parts during positioning and search were investigated.The dependencies of the part displacement, from the initialpoint towards the centre of steady search, on the parametersof the systems and excitation were defined. The part ispositioned during the transient motion regime, while thesearch occurs during the steady motion regime. It was verifiedexperimentally, that the part on the circularly or ellipticallyvibrating plane may be directed to predefined pointand later is able to perform search motion by circular orelliptical trajectory.