Conveying Velocity of a Particle on a Vibratory Conveyor

Abstract

This paper treats the conveying velocity of a particle on a vibratory conveyor. The velocity of the particle is not uniform throughout one period of vibration due to the intermittent sticking and slipping motions. The mean velocity v of the particle can be calculated analytically, and the conveying velocity factor V can also be calculated.
V is defined by
V=2πωv/μg cos θ
in which
μ : coefficient of friction,
θ : inclination of the conveying surface,
ω : circular frequency of vibration of the surface,
g : gravitational acceleration.
It is the function of three dimensionless quantities Q_a, Q_b and Θ, which are determined by the conveying condition and were discussed already in the previous report. The relation between the conveying velocity and conveying condition is shown by equi-V-curve on Q_a-Q_b plane (Θ : parameter). In this diagram, the coordinate (Q_a, Q_b), giving the maximum value of V, lies on the critical line drawn for the jumping motion. Referring to these analytical results, the optimum conveying condition is obtained.
It has been confirmed that the above theoretical results agree well with experimental studies.