Simulation of two-plane automatic balancing of a rigid rotor Original Research Article

The paper presents analytical and numerical investigations of a two-plane automatic balancing device for equilibration of rigid-rotor unbalance. It includes the derivation of the full system of equations of motion, the stability analysis on the basis of an analytical approximation and results of numerical simulations. The influence of system parameters, such as rotational speed, damping in supports and resistance to the motion of the compensation balls on the operation of device is analysed. The display of the Sommerfeld effect when balls come to move at a speed corresponding to rotor eigenfrequency is demonstrated. The paper contains examples of simulation results and considerations about the optimal values of the regarded parameters.