| Citation: | Han Yinian, Chen Long, Meng Xiangxu, et al. Fractal analysis of friction torque performance evolution of rolling bearing[J]. Journal of Aerospace Power, 2026, 41(9):20250031 doi: 10.13224/j.cnki.jasp.20250031 |
The time series of the full-cycle friction torque of the bearing were taken as the analysis object, the fractal theory was used as the main analysis method, the optimal delay time was determined through the mutual information method, and the optimal embedding dimension was determined through the observation method, finally the correlation dimension was obtained. The results showed that the friction torque performance of the bearing had chaotic characteristics; the embedding dimension was positively correlated with the nonlinearity and chaos degree of the system, while the correlation dimension was negatively correlated. The correlation dimension can be used as an indicator for measuring the performance of bearings. Bearings A and B can predict bearing failure 120 min and 160 min in advance respectively. Based on the principle of maximum entropy, it was verified that the failure time of bearing A differed from that predicted by the fractal theory by 12 min, accounting for only 10% of the predicted time of 120 min. The deviation error was at a relatively small level, fully verifying the effectiveness and reliability of the fractal theory in characterizing the performance evolution of bearings.
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