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Manifold regularized support higher-order tensor machines for semi-supervised fault diagnosis of planetary gearboxes
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Cheng YANG1, 2, Qingbo HE1, Minping JIA2, Zhinong LI3, Zhike PENG1, 4
Journal of Vibration Engineering | 2025, 38(1) : 78 - 87
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Journal of Vibration Engineering | 2025, 38(1): 78-87
Manifold regularized support higher-order tensor machines for semi-supervised fault diagnosis of planetary gearboxes
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Cheng YANG1, 2, Qingbo HE1, Minping JIA2, Zhinong LI3, Zhike PENG1, 4
Affiliations
  • 1.State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2.School of Mechanical Engineering, Southeast University, Nanjing 211189, China
  • 3.Key Laboratory of Nondestructive Testing of Ministry of Education, Nanchang Hangkong University, Nanchang 330063, China
  • 4.School of Mechanical Engineering, Ningxia University, Yinchuan 750021, China
Published: 2025-01-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.01.009
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In this study, a novel semi-supervised fault diagnosis of planetary gearboxes based on manifold regularized support higher-order tensor machines (MRSHTM) is proposed. In the MRSHTM, CANDECOMP/PARAFAC (CP) decomposition is introduced to exploit the intrinsic structural information of tensor data, and tensor-based inverse multiquadric kernel function (Tensor-IMKF) is defined to construct a Laplacian operator. The constructed graph matrix can better describe the manifold structure between tensor data. Besides, the one-versus-rest (OVR) strategy is introduced into the MRSHTM model for multi-class fault diagnosis of planetary gearboxes. Hierarchical multiscale permutation entropy (HMPE) is adopted to extract the three-order tensor features “channel×hierarchical layer×scale”, and then the extracted HMPE values are fed into OVR-MRSHTM for automatic fault identification. The results suggest that the proposed method can achieve semi-supervised fault diagnosis of planetary gearboxes in tensor space.

semi-supervised fault diagnosis  /  planetary gearboxes  /  tensor learning  /  manifold regularization
Cheng YANG, Qingbo HE, Minping JIA, Zhinong LI, Zhike PENG. Manifold regularized support higher-order tensor machines for semi-supervised fault diagnosis of planetary gearboxes[J]. Journal of Vibration Engineering, 2025 , 38 (1) : 78 -87 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.01.009
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.01.009
  • Receive Date：2023-03-13
  • Online Date：2026-02-11
  • Published：2025-01-10
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History
  • Received：2023-03-13
  • Revised：2023-12-21
Funding
Affiliations
    1.State Key Laboratory of Mechanical Systems and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
    2.School of Mechanical Engineering, Southeast University, Nanjing 211189, China
    3.Key Laboratory of Nondestructive Testing of Ministry of Education, Nanchang Hangkong University, Nanchang 330063, China
    4.School of Mechanical Engineering, Ningxia University, Yinchuan 750021, China
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表12种不同金属材料的力学参数
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Number of
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Number of
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小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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