Unbalance is one of the most common mechanical faults in rotating machines. Different balancing methods to stabilize the unbalanced rotor are investigated in this paper. One approach of using solely the accelerometers data and intricate vibration theories is discussed. Although the method can eliminate the need of balancing equipment, and the amplitude and phase of the machine’s vibrations can be identified, it needs numerous measurements, and in some cases is impossible to be implemented. Therefore, a novel approach with reduced number of required measurements is proposed. Our method only requires two measurements, one from the original unbalanced condition, and the other from modified situation after adding an arbitrary trial mass to a marked location on the rotor. The rotating rotor is being video recorded during this process. The goal is to identify the position of the marked area whenever the amplitude of the sinusoidal vibration response reaches the maximum. To demonstrate the effectiveness of our method, an experiment is setup. Vibration of healthy and unbalanced flywheel attached on a three-phase induction motor is analyzed in both time and frequency domains. The rotation of the motor is video recorded under original unbalanced and modified situations. The correction mass and its adding location are calculated using proposed method. The vibration analysis of balancing result demonstrated that the system got dynamically balanced by adding right value and location of a mass. The method proposed and developed in this paper is more cost effective with the same accuracy as the other contested balancing techniques.
Quantum Walks on Two-Dimensional Grids with Multiple Marked Locations
