Discrete optimization of rigid rotor balancing

This work deals with the discrete optimization problem of rotor two-plane balancing. The best balancing configuration is searched for two discrete parameters: allowed standard masses and predefined angular positions on the balancing planes. The objective is to minimize the residual unbalancing effects (such as reactions in supports) thanks to an optimal location of several accurately selected masses on each balancing plane. The corresponding optimization problem is solved using genetic algorithm. A simple model of a rigid rotor mounted on rigid supports is investigated in numerical examples. The optimization efficiency and the influence of the number of applied balancing masses are discussed. The experimental tests have validated the developed balancing approach.