Dynamic Analysis of an Automatic Double-race Ball-balancer under the Gyroscopic Effect and Optimization of its Parameters Using the Genetic Algorithm

An automatic ball balancer can automatically balance the rotors with varying unbalance and doesnt need a control system to balance the rotor. These devices are used in rotating machineries that may be switched on/off several times a day, therefore reducing the balancing time becomes a necessary task. Also in practice, due to the offset of the rotor from the shaft mid-span, the gyroscopic effect is created. In one race auto-balancer, impact between balls may cause fracture of the balls and produce malfunction of the auto-balancer. These deficiencies solved by using double-race auto-balancer. Considering pervious researches reveal that the dynamic behavior of automatic double-race ball balancer under the gyroscopic effect as well as optimization of its parameters has not been investigated. In regard these, here, the dynamic behavior of automatic double-race ball balancer under the gyroscopic effect is investigated. The effect of damping ratio and the mass of balls of the automatic dynamic ball balancer on the stability and balancing of the system under the gyroscopic effect have been studied. Finally, using the genetic algorithm, the optimum values of these parameters to minimize the balancing time and converging the Euler angles to zero are obtained.