Investigation of Rolling Bearing Fault Diagnosis Based on Multi-Fractal and General Fractal Dimension

The calculation formula of general dimension least square method is presented by applying the multi-fractal theory and the general dimension calculation sample analysis of sine signals is achieved. The general dimensions of measured time domain signal of rolling bearing are calculated and analyzed, the sequence value of general dimension is obtained, the box dimension, the information dimension and the correlation dimension are obtained. The fault diagnosis and classification of random under-check signals are realized by using general dimension correlation coefficient method, the fault pattern recognized accords with the real state. The theory and experiment analysis show that the rolling bearings vibration signals have similar fractal dimensions in the same working condition, whereas, the fractal dimensions are different when the working conditions are different, the difference is distinct. All the fractal dimensions extracted from general dimensions are valuable in fault state diagnosing and recognizing, fulfilled the demands maximally in engineering application.