A fault diagnosis model based on composite multi-scale bubble entropy was proposed to address the issues of insufficient diagnostic effectiveness and poor generalization of conventional models when dealing with limited fault samples of rolling bearings, multiple damage categories, and uneven distribution of fault samples. Initially, the original signals were decomposed into multiple product components using robust local mean decomposition, Based on the Pearson correlation coefficient, significant components were selected and reconstructed. Subsequently, composite theory and multi-scale theory were incorporated into bubble entropy to develop composite multi-scale bubble entropy, thereby enhancing the feature extraction capability for the reconstructed signals. To improve the recognition performance of the back propagation neural network, the black-winged kite algorithm was employed to optimize its parameters. Through experimental applications on three different bearing datasets, it was found that the model achieved an average diagnostic accuracy higher than 98% under small-sample conditions, with a sample standard deviation of 0.36, demonstrating high diagnostic accuracy and stability. Result provides a novel approach for rolling bearing fault diagnosis with limited samples.
YANG Kun, ZUO Yan-hong, ZHOU Chao, XIA Shi-long.
Small Sample Rolling Bearing Fault Diagnosis Method Based on Composite Multi-scale Bubble Entropy[J].
Science Technology and Engineering, 2026, 26(7): 2895-2903 DOI:10.12404/j.issn.1671-1815.2502885
ShiZ, JingL. An improved planar dynamic model for vibration analysis of a cylindrical roller bearing[J]. Mechanism and Machine Theory, 2020, 153: 103994.
[2]
CaoH, SuS, JingX, et al. Vibration mechanism analysis for cylindrical roller bearings with single/multi defects and compound faults[J]. Mechanical Systems and Signal Processing, 2020, 144: 106903.
DongLunan, DengAidong, FanYongsheng, et al. Rolling bearing fault diagnosis based on VMD and improved denseNet[J]. Journal of Chinese Society of Power Engineering, 2023, 43(11): 1500-1505, 1522.
LiuZhen, PengZhenrui, WangShengjie. Bearing fault diagnosis under few-shot and variable working conditionsusing SE-ResNet and meta-transfer learning[J]. Journal of Vibration Engineering, 2025, 38(6): 1199-1211.
[9]
ZhengX, FengZ, LeiZ, et al. Few-shot learning fault diagnosis of rolling bearings based on Siamese network[J]. Measurement Science and Technology, 2024, 35(9): 095018.
[10]
JiangC, ChenH, XuQ, et al. Few-shot fault diagnosis of rotating machinery with two-branch prototypical networks[J]. Journal of Intelligent Manufacturing, 2023, 34: 1667-1681.
YuHaoshuai, TangBaoping, ZhangKai, et al. Fault diagnosis method of wind turbine gearboxes mixed with attention prototype networks under small samples[J]. China Mechanical Engineering, 2021, 32(20): 2475-2481.
[13]
XieZ, ZhanH, WangY, et al. Meta-learning-based fault diagnosis method for rolling bearings under cross-working conditions[J]. Measurement Science and Technology, 2024, 36(1): 016218.
[14]
LiJ, LiuM, WenL. Forecasting model for short-term wind speed using robust local mean decomposition, deep neural networks, intelligent algorithm, and error correction[J]. Frontiers in Energy Research, 2024, 11: 1336675.
[15]
WangJ, WangW, HuX, et al. Black-winged kite algorithm: a nature-inspired meta-heuristic for solving benchmark functions and engineering problems[J]. Artificial Intelligence Review, 2024, 57(4): 98.
[16]
JiangW, JiangH, YaoR, et al. Energy bubble entropy guided symplectic geometry mode decomposition for rotating machinery incipient fault feature extraction[J]. Measurement Science and Technology, 2024, 35(12): 125124.
[17]
JianX, YiY, WuJ. Analysis of the synergistic complementarity between bubble entropy and dispersion entropy in the application of feature extraction[J]. Frontiersin in Physics, 2023, 11: 1163767.
[18]
MinhasA S, KankarP K, KumarN, et al. Bearing fault detection and recognition methodology based on weighted multiscale entropy approach[J]. Mechanical Systems and Signal Processing, 2021, 147: 107073.
[19]
SunY, WangZ. Remaining useful life prediction of rolling bearing via composite multiscale permutation entropy and Elman neural network[J]. Engineering Applications of Artificial Intelligence, 2024, 135: 108852.
XieFengyun, LiuHui, HuWang, et al. Early fault diagnosis of rolling bearings by using CEEMDAN and parameter-optimized multiscale permutation entropy[J]. Mechanical Science and Technology for Aerospace Engineering, 2023, 42(11): 1912-1918.
YangXuhong, FangHaoxu, WuYaxiong, et al. Control strategy of vienna rectifier based on BP neural network and fractional order PIλDμ[J]. Science Technology and Engineering, 2022, 22(22): 9637-9644.
ShengJiahao, LiuLi, LiuChaohui, et al. Asphalt mixture performance prediction method based on BP neural network optimized by genetic algorithm[J]. Science Technology and Engineering, 2025, 25(3): 1214-1224.
[28]
ZhaoZ, RenZ, HeS, et al. A production prediction model of tight gas well optimized with a back propagation (BP) neural network based on the sparrow search algorithm[J]. Processes, 2024, 12(4): 632.
[29]
LiJ, BianX, ChenJ, et al. Improved neural network model based on dung beetle algorithm to predict CO2-brine interfacial tension[J]. Geoenergy Science and Engineering, 2024, 239: 212957.