Balancing of dynamically unbalanced rotor considering imperfections of autobalancing devices

Abstract

A dynamically unbalanced rotor equipped with two-plane automatic ball balancer is considered. It is assumed that both the ABB’s cages are planted on the rotor shaft with some eccentricity. The equations of motion of the system in the stationary and rotating coordinate systems, as well as the equations describing stationary modes of motion, are obtained. The possibility of existence of two different types of unbalanced stationary modes is demonstared for two-plane ABB with two balls in each of the ABB’s cages. The steady state mode with a constant residual vibration amplitude, which is independent of the angular velocity, is proposed to call half-balanced. The solution corresponding to half-balanced mode is built analytically; the conditions of its existence are obtained. Unbalanced modes of motion of the rotor when it rotates at a constant and a variable angular velocity are investigated using numerical methods. Refs 9. Figs 5.

Keywords:

two-plane automatic ball balancer, dynamically unbalanced rotor