Actively controlling a rotating blade vibrations excited by a superharmonic force

In this paper, the multiple scales perturbation (MSP) method is being used to examine controlling the compressor rotatingblade oscillations at superharmonic resonance. We apply position with velocity feedback controller on this dynamicalsystem to reduce its oscillations. The vibrational dual modes of are powerfully coupled with a linear ratio 1:1, so we haveapplied the controller to only one mode and the other coupled mode follows it. The overall nonlinear system behavior withand without control is studied. The system (pre and post control) is investigated via time response and other responsesto show the controller effect.