Fuzzy Norm Method for Evaluation of Uncertainty in Vibration Performance of Rolling Bearing

Xintao Xia, Wenhuan Zhu, Bin Liu

With the rapid development of science and technology, the performance of current bearings in terms of variations in friction, wear, vibration, temperature rise, etc. is drawing considerable attention. The limited availability of characterization data and a lack of a priori knowledge concerning the probability distribution and trends in bearing performance have rendered it difficult to perform a statistical analysis on this topic. To overcome these limitations, in this paper, we adopt the fuzzy norm method, which integrates fuzzy theory with the norm method. We utilize the fuzzy norm method to assess the uncertainty in rolling bearing vibration performance, which can help to reveal the degree of variation in rolling bearing vibration performance despite the unknown probability distribution and trends, thereby allowing for accurate assessment of the vibration conditions of bearings. The results of an experimental investigation of a specific type of rolling bearing vibration-acceleration time series demonstrate the correctness and effectiveness of the proposed method.