Contribuições para o balanceamento eletrônico de rotores.

Abstract

This work is inserted in the context of active attenuation of rotor vibrations. These vibrations are caused by the rotor's own unbalance and have a frequency equal to the rotor's rotation frequency. The unbalance can be modeled as a rotating disturbance force, and a well-known technique for cancelling the effect of such a disturbance is the so-called active balancing, also known as synchronous unbalance compensation or synchronized regulation. The present dissertation brings two contributions to the theme. The first one is the simplification of the synchronous compensator through considerations of rotor symmetry and bearing isotropy, and the second one is to obtain the exact model of the discrete system resulting from the application of the synchronous compensation methodology. These contributions make use of the model described in complex coordinates. The transformation from real coordinates to complex coordinates is defined as a complexification. Thus, the complexification of the model allows the division in half of the dimension of the system variables (states, inputs and outputs), as well as giving a physical sense to the separation between forward disturbances (case of the rotor unbalance) and backward disturbances. This complexification reduces the time of identification of the influence matrix made in active balancing, and the complexified model obtained through symmetry and isotropy hypotheses allows the completely uncouple of the forward disturbances compensation from the backward disturbances compensation.