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基于小波包散布熵与Meanshift概率 密度估计的轴承故障识别方法研究
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Research on Bearing Fault Identification Method Based on Wavelet Packet Dispersion Entropy and Meanshift Probability Density Estimation
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    摘要:

    为提升轴承故障特征提取精度和运行状态评估准确性,提出一种基于小波包散布熵与Meanshift概率密度估计的诊断方法. 首先,采用小波包变换对轴承振动信号数据进行升维,通过计算每个子带的散布熵构建特征矩阵;然后,利用PCA对多维矩阵进行可视化降维,采用Meanshift无参估计得到训练样本的概率密度最大位置作为聚类中心;最后,通过计算测试样本散布熵坐标与各聚类中心的欧式距离判定测试样本类别归属. 采用CWRU和QPZZ-II轴承实验台不同故障类型和故障程度样本数据对所提方法进行验证,结果表明,得益于小波包完备的理论模型和信号频带分解稀疏性,结合散布熵指标对数据样本良好的鲁棒性,所构造的特征矩阵具有较好的类内聚集性和较大的类间距离,同时,Meanshift以概率密度最大化为目标自适应迭代聚类中心和隶属度,可以有效实现对不同数据样本的分类识别.

    Abstract:

    In order to improve the accuracy of bearing fault feature extraction and operation condition evaluation,a diagnosis method based on wavelet packet dispersion entropy and Meanshift probability density estimation is proposed. Firstly,wavelet packet transform is used to increase the dimension of bearing vibration signal data,and the dispersion entropy (DE) of each sub-band is calculated to construct the characteristic matrix. Then,PCA is used to reduce the dimension of multi-dimensional matrix visually. Meanshift nonparametric estimation is used to obtain the maximum probability density position of training samples as the clustering center. Finally,the Euclidean distance between the test sample distribution entropy coordinates and each cluster center is calculated to determine the test sample category. The experimental data of CWRU and QPZZ-II are used to verify the effectiveness of the proposed method for identifying different fault types and fault degrees. Due to the complete theoretical model of wavelet packet and the ability of signal band decomposition sparsity,combined with the good robustness of the DE index,the constructed feature matrix has good aggregation and large inter-class distance. At the same time,Meanshift aims at maximizing probability density,and can effectively classify different data samples by adaptive iterative clustering center and membership.

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张雄,张逸轩,张明,万书亭,何玉灵,豆龙江.基于小波包散布熵与Meanshift概率 密度估计的轴承故障识别方法研究[J].湖南大学学报:自然科学版,2021,48(8):133~140

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  • 在线发布日期: 2021-09-06
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