Chaotic resonance in a fractional-order oscillator system with application to mechanical fault diagnosis

Yuzhu He, Yuxuan Fu, Zijian Qiao and Yanmei Kang

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: This paper is to generalize the research on chaotic resonance (CR) towards fractional-order chaotic systems and then develop a new technique for detecting weak signals embedded in strong background noise. For illustration, a fractional-order Duffing oscillator system is evaluated by means of bifurcation analysis, revealing the phenomenon of chaotic resonance, with the optimal driving amplitude falling within a chaotic interval. It is found that the weak signal can be amplified by the intrinsic fluctuations in the chaotic system instead of stochastic noise. Based on this investigation, a novel weak signal detection method is developed and successfully applied to mechanical fault diagnosis without the need of signal preprocessing. Extensive numerical results show that the signal-to-noise ratio of the incipient fault signal of machinery can be greatly improved.

Keywords: Chaotic resonance; Fractional-order Duffing oscillator; Mechanical fault diagnosis; Weak signal detection (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920309280

DOI: 10.1016/j.chaos.2020.110536

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