Imbalance analysis is essential in the rotating machine. However, some problems still remain in the aspects of computational efficiency and accuracy. In the present paper, a new method was proposed for estimating the mass imbalance of a rotating shaft by using the vibration signals. This is a new method for the detection of a mass imbalance and its phase position. Based on the signal processing with FFT, an estimator was designed to detect the mass of imbalance. And an improved Lissajous diagram was also introduced with statistical analysis, which make it possible to compute the phase position of the mass imbalance efficiently and arranged at a certain location of the shaft. The proposed method was demonstrated and validated through several test examples.
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