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Journal of ZheJiang University (Engineering Science)  2019, Vol. 53 Issue (11): 2092-2101    DOI: 10.3785/j.issn.1008-973X.2019.11.006
Mechanical Engineering     
Adaptive feature extraction method for slewing bearing based on Wavelet leader and optimized isometric mapping method
Xiang-long ZHAO1(),Jie CHEN1,2,*(),Rong-jing HONG1,2,Hua WANG1,2,Yuan-yuan LI3
1. College of Mechanical and Power Engineering, Nanjing Tech University, Nanjing 211816, China
2. Jiangsu Key Laboratory of Digital Manufacturing for Industrial Equipment and Control Technology, Nanjing 211816, China
3. Minth Group, Ningbo 315806, China
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Abstract  

Multi-fractal adaptive feature extraction method based on Wavelet leader method and isometric mapping method optimized by hybrid grey wolf optimization algorithm (HGWO-ISOMAP) was proposed, in order to solve the problem that the vibration signal of slewing bearing is weak and the feature information is difficult to extract. Wavelet leader is utilized to calculate the multi-fractal features, mine the geometric structure information of vibration data, and construct a high-dimensional multi-fractal feature matrix. Adaptive feature selection of high-dimensional feature matrix is carried out through ISOMAP method optimized by HGWO. The selected feature matrix is input into the least squares support vector machine (LSSVM) optimized by genetic algorithm (GA) for fault state identification. A full life experiment of a certain type of slewing bearing was carried out by using self-developed comprehensive performance test platform of slewing bearing, in order to verify the superiority of the proposed method. Results show that compared with general time domain, time-frequency domain and frequency domain feature extraction methods, the proposed method can improve the recognition accuracy and reduce the calculation time, providing a new effective way for feature extraction of slewing bearing.



Key wordsslewing bearing      feature extraction      multi-fractal feature      Wavelet leader      hybrid grey wolf optimization algorithm (HGWO)      isometric mapping (ISOMAP)     
Received: 11 September 2018      Published: 21 November 2019
CLC:  TH 133  
  TN 911  
Corresponding Authors: Jie CHEN     E-mail: 2390698155@qq.com;nj_tech_cj@163.com
Cite this article:

Xiang-long ZHAO,Jie CHEN,Rong-jing HONG,Hua WANG,Yuan-yuan LI. Adaptive feature extraction method for slewing bearing based on Wavelet leader and optimized isometric mapping method. Journal of ZheJiang University (Engineering Science), 2019, 53(11): 2092-2101.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2019.11.006     OR     http://www.zjujournals.com/eng/Y2019/V53/I11/2092


基于Wavelet leader和优化的等距映射算法的回转支承自适应特征提取

为了解决回转支承振动信号微弱,特征信息不易提取的问题,提出基于Wavelet leader方法和经混合灰狼算法优化的等距映射算法(HGWO-ISOMAP)的多分形自适应特征提取方法. 利用Wavelet leader计算多分形特征,挖掘振动数据的几何结构信息,构造高维特征矩阵;通过HGWO优化后的ISOMAP算法对高维特征矩阵进行自适应特征筛选;将筛选后的特征矩阵输入到经遗传算法(GA)优化的最小二乘支持向量机(LSSVM)中进行故障状态识别. 为了验证所提方法的优越性,采用课题组自主研发的回转支承综合性能试验台对某型号回转支承进行全寿命实验. 结果表明,相比一般时域、时频域、频域特征提取方法,所提方法能提高识别精度,缩短计算时间,为回转支承特征提取提供新的有效途径.


关键词: 回转支承,  特征提取,  多分形特征,  Wavelet leader,  混合灰狼优化算法(HGWO),  等距映射(ISOMAP) 
Fig.1 Flow chart of adaptive feature extraction method of slewing bearing
Fig.2 Physical map of slewing bearing test rig
Fig.3 System structure flow chart of slewing bearing test rig
参数 数值 参数 数值
滚道中心直径/mm 1 000 滚珠数目 71
齿数 96 螺栓个数 36
滚珠直径/mm 40 轴/径向间隙/mm 0.05~0.20
外圈外径/mm 1 185.6 内圈内径/mm 878
钢球材料 GCr15 内/外圈材料 42GMo
Tab.1 Structural parameters of a certain type of slewing bearing
Fig.4 Acceleration signal map of slewing bearing
Fig.5 Comparison of vibration signal before and after noise reduction
Fig.6 Multifractal feature map in three states
Fig.7 Multifractal spectrum-singular exponential graph of a single sample
Fig.8 Statistical results of special point distribution in three states
状态 初始点范围 最高点范围 终止点范围
正常状态 0.05~0.15 0.22~0.29 0.32~0.40
螺栓破坏 0.04~0.07 0.07~0.10 0.12~0.20
外圈破坏 0.35~0.54 0.57~0.65 0.72~0.88
Tab.2 Statistical results of special point distribution intervals
Fig.9 Dimension reduction results of HGWO-ISOMAP method
Fig.10 Data visualization after dimensionality reduction
Fig.11 Optional three-dimensional data visualization after dimensionality reduction
Fig.12 Classification results of LS-SVM method
分类器 方法 Rc/% t/s
LSSVM HGWO-ISOMAP-Wavelet leader 99.33 361.453
降维前-Wavelet leader 96.67 560.643
f1-f2-f3 98.00 374.419
f1-f2-f4 98.67 360.888
f2-f3-f4 88.00 366.519
Tab.3 Recognition results of proposed method
分类器 方法 Rc/% t /s
LSSVM 时域特征 85.33 377.801
频域特征 88.00 366.634
时频域特征 89.33 352.214
时域-频域-时频域混合特征 92.00 417.547
BP神经网络 HGWO-ISOMAP-Wavelet leader 88.67 30.158
降维前-Wavelet leader 82.67 217.013
f1-f2-f3 86.00 28.765
f1-f2-f4 88.45 29.127
f2-f3-f4 67.33 29.333
时域特征 66.00 17.497
频域特征 66.67 21.377
时频域特征 68.67 20.046
时域-频域-时频域混合特征 75.33 23.223
Tab.4 Recognition results of other methods
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