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Using the methods of the small parameter of nonlinear mechanics, the formulas for determining the parameters of the pendulum auto-balancer were obtained in the article. Conditions for the stability of the auto-balancing process of the unbalanced rotor, fastened in the housing on the elastic supports, were also found. It is established that the stable operation of the auto-balancer can be implemented in the angular velocity ranges of the rotor due to the choice of the stiffness characteristics of the elastic supports. Keywords—Housing, Rotor, Auto-balancer, Pendulum, Stability, Elastic supports)

Determination of parameters and stability zones of pendulum auto-balancer of rotor, installed in housing on elastic supports