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Unknown fault diagnosis of planetary gearbox based on optimal rank nonnegative matrix factorization and improved stochastic resonance of bistable system

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Abstract

Planetary gearboxes are widely used in modern industrial fields due to the characteristics of large transmission ratio and high transmission efficiency, etc. A new diagnosis method is proposed in this work to identify the unknown fault of planetary gearbox under the strong noise background. Firstly, an optimal rank estimation strategy based on signal spectrum clustering results, a prerequisite for using the nonnegative matrix factorization (NMF) method, is proposed to guide the NMF process of original signal spectrum matrix. Secondly, consider the interpretability of decomposition results, the basis matrix generated by NMF is interpreted as the spectrum feature selection library of the original signal. Meanwhile, the basis vector with the largest kurtosis value in the basis matrix is selected to participate in the filtering of the original signal, and the envelope of filtered signal is obtained. Then, the excellent ability of stochastic resonance to amplify weak signals is utilized. A quantitative index independent of the prior fault knowledge is constructed to evaluate the stochastic resonance response of envelope signal. Finally, the fault mode of planetary gearbox is determined by the structural characteristics of resonance response spectrum. Simulation and experimental results confirm the effectiveness and robustness of the proposed method. It has good performance in pattern recognition of the unknown faults of planetary gearbox.

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Acknowledgements

The project was supported by the National Key Research and Development Program of China (Grant No. 2019YFB2004600).

Funding

Funding was provided by National Key Research and Development Program of China (Grant No.: 2019YFB2004600).

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  1. School of Mechanical Engineering, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Chen Yang, Hongkun Li & Shunxin Cao

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  1. Chen Yang
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Correspondence to Hongkun Li.

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Yang, C., Li, H. & Cao, S. Unknown fault diagnosis of planetary gearbox based on optimal rank nonnegative matrix factorization and improved stochastic resonance of bistable system. Nonlinear Dyn 111, 217–242 (2023). https://doi.org/10.1007/s11071-022-07846-0

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