Dynamics of a vibrating screen with two motor-vibrators

Abstract A method for calculating a vibrating screen with two motor vibrators is proposed. The first part of the article is devoted to the issue of synchronizing the rotation of the rotors of both drives. Their opposite rotation creates a directed force passing through the center of gravity of the screen and perpendicular to the plane of the vibrator axes. The interaction of forces in this plane determines the phase mismatch of the rotation angles of the vibrators θ . An expression is obtained for determining the angle θ depending on the frequency of their rotation vibrators ω . It is shown that at ω > 100 rad/s, motor-vibrators operate in self-synchronizing mode. In the second part of the article a dynamic calculation of the screen was carried out. Linear vibrations in the vertical plane of symmetry of the screen and rotational vibrations around a perpendicular to this plane are investigated. The Lagrange equation of the second kind is compiled without considering inelastic resistances. They are considered at the last stage of the calculation in the form of the imaginary part of the complex modulus of elastic bonds. The amplitude-frequency characteristic of the screen was constructed considering the rotation mismatch angle of the vibrators θ . Stabilization of the oscillation amplitude at high frequencies is shown.