Motion of a part on a horizontally vibrating plane

Abstract

Motion of a part on an excited in two perpendicu-lar directions horizontal plane is analyzed in the paper. Both the mathematical and dynamic models for vibratory search, when the plane moves along circular, elliptic or complex closed trajectories, were formed. Using MatLab software the programs for equations solving were written and motion characteristics of the body moving on circu-larly excited plane, depending on friction coefficient and both on excitation frequency and amplitude, were deter-mined. The regimes of part motion were distributed into 5 groups and the zones were determined, where those motion regimes exist. For moving the body along elliptic trajec-tory, were determined dependencies of the length of major axis of the ellipse and tilt angle of the ellipse on coefficient of friction and excitation parameters. Motion trajectories were determined for the plane excited in perpendicular directions by the vibrations of different frequencies. It was noticed, that character of the trajectories depends both on the phase angle between the components of excitation and on coefficient k, which determines the relationship be-tween the excitation frequencies.