Displacement of the body on the oscillatory plane

Presented work analyzes characteristics of vibratory displacement of a body on a oscillatory plane with reference to automated assembly of the parts. Mathematical and dynamic models of vibratory displacement are made. Applying MatLab software, programs to solve the equations of motion were written. Characteristics of a body motion on a oscillatory plane depending on the oscillatory angle and oscillation frequencies of the plane, coefficients of rigidity of the spring and phase difference between the excitation plane oscillations were defmed. Existing areas of different modes of motion of the body depending on excitation frequency and oscillation of the plane, on oscillatory angle of the plane and rigidity factor were defmed. It was determined, that motion character of the body depends on oscillatory angle and oscillation frequency of the plane, coefficient of rigidity of the spring and also phase difference between the excitation and oscillation of the oscillatory plane. Obtained trajectories of the body motion on a oscillatory plane can be applied for relative positioning of the mating parts during automated assembly.