Optimization and application of non-smooth variable scale-convex-peak frequency identification method

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (6) : 143-151.

LI Haiping1,2，TIAN Ruilan1,3，XUE Qiang1,3，ZHANG Yangkun1,3，ZHANG Xiaolong1,3

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Abstract

Based on the nonlinear topological characteristics of non-smooth variable scale Smooth and Discontinuous(SD) limit system, the non-smooth variable scale crest frequency identification method is optimized and applied to the early fault signal detection of bearing. Using the periodicity of homoclinic-like orbit, the non-smooth random subharmonic-like Melnikov function is derived, which leads to the necessary and sufficient conditions for the occurrence of simple zeros in the mean square sense. The effects of non-smooth and noise coupling factors on the chaotic threshold of non-smooth variable scale SD limit system are revealed. The numerical simulation results show that the initial phase of weak signal leads to the deviation or unrecognizability of non-smooth variable scale-convex-peak method. When there is a deviation in frequency identification, a linear correction formula is given by using the geometric characteristics of the data; When the frequency is unrecognizable, the detection equations are constructed to make the convex peak frequency identification method still effective. Through an example of early fault of wheel set bearing of high-speed train, the possible fault location of wheel set bearing is determined by using the optimized non-smooth variable scale convex peak frequency identification method. The results show that the non-smooth variable scale convex peak frequency identification method can accurately identify the frequency of early fault signal of wheel set bearing, and the method is simple and accurate.

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SD limit systems / non-smooth variable scale-convex-peak frequency identification method / stochastic subharmonic-like Melnikov method / phase

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LI Haiping1,2，TIAN Ruilan1,3，XUE Qiang1,3，ZHANG Yangkun1,3，ZHANG Xiaolong1,3. Optimization and application of non-smooth variable scale-convex-peak frequency identification method[J]. Journal of Vibration and Shock, 2023, 42(6): 143-151

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