Vibration control of imbalanced Jeffcott rotor by virtual passive dynamic absorber with optimal parameter values

Abstract

Today, dynamic absorbers are widely used to control vibrations of the systems that are being excited by the harmonic forces. In this paper, the usage of the magnetic force as virtual dynamic absorber for vibration control in rotary systems is investigated. In order to examine this new method, two different types of passive dynamic absorber systems are applied to control imbalanced Jeffcott rotor vibrations. In the first type of the absorber system, damper is located between the absorber mass and the disk and in the second type, it is located between the absorber mass and the ground. Then, the optimal parameters of absorber system, stiffness and damping have been analytically achieved by using two fixed points theory. Moreover, for further reduction of the vibration amplitude, combined paths have been designed for rotor frequency response. Finally, in order to evaluate the obtained results, the experimental data of our virtual dynamic absorbers were compared with simulation results and it is found that the vibration amplitude of rotor was efficiently limited in this case. Furthermore, the second type of the absorber system with equal mass ratio to the first type of the absorber system was more efficient than the first one in reduction of the amplitude of vibrations. Our findings show that the second absorber transfer more force than the first one since the second absorber connects chasis of system with damper. Therefore, it is recommended to apply the first absorber after the first resonance.