Simulation Analysis of the Variation of Bearing Vibration Performance Based on Fuzzy Set Theory (Part I: Theory)

Abstract

Based on the fuzzy set theory, a method for bearing vibration performance variation analysis is proposed. Firstly, the original vibration data of the bearing is grouped and the fuzzy similarity relation matrix is constructed by the linear mapping formula. The fuzzy similarity relation matrix in the engineering practice is transformed into the fuzzy equivalence matrix of the spatial vector by the transfer closure method. Then, The equivalence coefficient of the fuzzy equivalence relation matrix is compared with the set threshold to diagnose the variation of bearing vibration performance.