Applying the vibrational motion A cos (pt+φ) +Bcos 2pt to a conveying deck, the conveying velocity V of the body on the deck is given theoretically
V/pA=-2 εcos (πδ+2φ),
if ε=B/A<<1, δ=μg/A/p<<1. Here p is the fundamental angular velocity of the deck, μ the coefficient of friction, A the amplitude of the fundamental vibration, B the amplitude of 2nd order harmonics and g the acceleration of gravity.
Moreover V/pA for the ordinary values of ε and δ is calculated by analog computer using ε, δ and φ as a parameter. As the result, the maximum value of V/pA is obtained when ε=0.25, δ=0. 2 and φ=80°, 170°. Therefore, a maximum conveying velocity can be required from the above conditions when the velocity amplitude of the deck is constant. Reversely when the velocity is given, a necessary minimum velocity amplitude of the deck can be calculated.
The above theoretical results are ascertained experimentally.