Evaluation of Rolling Bearing Vibration Using Fuzzy Set Theory and Chaos Theory

Abstract:

The optimal fuzzy similarity coefficient based on the phase space is proposed to evaluate the rolling bearing vibration acceleration generated by wear on the surface of the ring raceway. The phase space of the time series of the rolling bearing vibration acceleration is reconstructed via the chaos theory, the fuzzy similarity relation between the phase trajectories is established by the fuzzy set theory, and then the optimal fuzzy similarity coefficient is obtained through a reasonable choice of the embedding dimension and the delay. Experimental investigation shows that with the increase of the fault diameter, the optimal fuzzy similarity coefficient decreases nonlinearly

• Periodical: Advanced Materials Research (Volumes 424-425)
• Pages: 338-341
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.424-425.338
• Online since: January 2012
• Authors: Xiao Chao Sun, Xin Tao Xia, Yan Bin Liu, Lei Lei Gao
• Keywords: Chaos Theory, Fuzzy Set Theory, Rolling Bearing, Time Series, Vibration Acceleration

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DOI: 10.1016/j.measurement.2007.10.008