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Peer-reviewedCC BY 4.0Fractal and Fractional

Quantitative Fault Diagnosis of Railway Wheel Polygonization Based on Fractional-Order-Enhanced Transform-Domain Multi-Instance Learning and FiLM Modulation

4 affiliations
  1. 1School of Transportation and Electrical Engineering, Hunan University of Technology, Zhuzhou 412007, China
  2. 2National Key Laboratory for Heavy-Duty High-Power Electric Locomotives Zhuzhou, Zhuzhou 412001, China
  3. 3CRRC Zhuzhou Locomotive Co., Ltd., Zhuzhou 412001, China
  4. 4Zhuzhou Times New Material Technology Co., Ltd., Zhuzhou 412007, China

Abstract

Wheel polygonization is a typical out-of-roundness fault in high-speed trains, and multi-order roughness spectra can quantitatively describe its fault condition. Variations in operating speed, wheel diameter, and reprofiling state cause differences in axle-box vibration responses, making the diagnosis of multi-order roughness amplitudes difficult. A fractional-order-enhanced transform-domain multi-instance learning method with FiLM modulation is proposed for quantitative fault diagnosis of wheel polygonization. First, axle-box vibration acceleration, operating speed, and measured roughness data are jointly processed to construct multi-instance samples containing angular-domain time series, order-domain spectra, vibration statistics, and operating-condition information. Second, a model integrating transform-domain multi-instance learning and FiLM modulation is constructed, combining a state-adaptive multi-regression mechanism with order-aware correlation mapping to achieve quantitative diagnosis of roughness amplitudes across orders 1–32. Finally, the Grünwald–Letnikov fractional-order difference is introduced into the loss function to enhance the model’s ability to learn inter-order correlations and overall spectral-shape features, thereby reducing diagnostic errors in multi-order roughness amplitudes. Experimental results show that the proposed method achieves an RMSE of 1.157 dB, 60.5% lower than that of CNN-LSTM, the best-performing comparison method, providing a quantitative diagnostic method for high-speed train wheel condition assessment and reprofiling evaluation.

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BibTeX
@article{li2026quantitative,
  title = {{Quantitative Fault Diagnosis of Railway Wheel Polygonization Based on Fractional-Order-Enhanced Transform-Domain Multi-Instance Learning and FiLM Modulation}},
  author = {Tao Li and Xuyuan Gao and Zhoncheng Jiang and Wei Liu and Dengke Li and Xuancheng Yuan and Bowen Yao},
  journal = {Fractal and Fractional},
  year = {2026},
  month = nov,
  doi = {10.3390/fractalfract10110774},
  url = {https://www.mdpi.com/2504-3110/10/11/774},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Quantitative Fault Diagnosis of Railway Wheel Polygonization Based on Fractional-Order-Enhanced Transform-Domain Multi-Instance Learning and FiLM Modulation
AU  - Tao Li
AU  - Xuyuan Gao
AU  - Zhoncheng Jiang
AU  - Wei Liu
AU  - Dengke Li
AU  - Xuancheng Yuan
AU  - Bowen Yao
PY  - 2026
DA  - 2026/11/05
JO  - Fractal and Fractional
DO  - 10.3390/fractalfract10110774
UR  - https://www.mdpi.com/2504-3110/10/11/774
AB  - Wheel polygonization is a typical out-of-roundness fault in high-speed trains, and multi-order roughness spectra can quantitatively describe its fault condition. Variations in operating speed, wheel diameter, and reprofiling state cause differences in axle-box vibration responses, making the diagnosis of multi-order roughness amplitudes difficult. A fractional-order-enhanced transform-domain multi-instance learning method with FiLM modulation is proposed for quantitative fault diagnosis of wheel polygonization. First, axle-box vibration acceleration, operating speed, and measured roughness data are jointly processed to construct multi-instance samples containing angular-domain time series, order-domain spectra, vibration statistics, and operating-condition information. Second, a model integrating transform-domain multi-instance learning and FiLM modulation is constructed, combining a state-adaptive multi-regression mechanism with order-aware correlation mapping to achieve quantitative diagnosis of roughness amplitudes across orders 1–32. Finally, the Grünwald–Letnikov fractional-order difference is introduced into the loss function to enhance the model’s ability to learn inter-order correlations and overall spectral-shape features, thereby reducing diagnostic errors in multi-order roughness amplitudes. Experimental results show that the proposed method achieves an RMSE of 1.157 dB, 60.5% lower than that of CNN-LSTM, the best-performing comparison method, providing a quantitative diagnostic method for high-speed train wheel condition assessment and reprofiling evaluation.
SN  - 2504-3110
ER  -