CN116358871B - Rolling bearing weak signal composite fault diagnosis method based on graph rolling network - Google Patents

Rolling bearing weak signal composite fault diagnosis method based on graph rolling network Download PDF

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CN116358871B
CN116358871B CN202310321870.8A CN202310321870A CN116358871B CN 116358871 B CN116358871 B CN 116358871B CN 202310321870 A CN202310321870 A CN 202310321870A CN 116358871 B CN116358871 B CN 116358871B
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王亚萍
高圣延
许迪
侯德康
葛江华
张祺松
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Harbin University of Science and Technology
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Abstract

The invention discloses a rolling bearing weak signal composite fault diagnosis method of a graph rolling network, which adopts a multi-scale entropy method, signals are segmented into N sections through a sliding window, then the time domain signals of each section are subjected to fine composite multi-scale entropy feature extraction, and different weights are defined for adjacent matrixes in different forms by using a Gaussian kernel function. To achieve fault diagnosis at the graph level, a representation of the entire graph is obtained using a GCN with a pooling layer and a readout layer, upon which standard machine learning techniques can be performed. Experimental verification shows that compared with a node construction method of a time domain or a frequency domain, the fine composite multi-scale entropy considers the cross correlation of all entropy values to evaluate the dynamic conditions in fault detection, and the edge connection mode enables fault information to be transmitted and updated only among fault nodes of the same type, so that the composite fault type of the rolling bearing can be effectively identified, and the fault diagnosis efficiency is improved.

Description

基于图卷积网络的滚动轴承微弱信号复合故障诊断方法Weak signal composite fault diagnosis method for rolling bearings based on graph convolutional network

技术领域Technical field

本发明属于旋转机械故障诊断技术领域,涉及一种滚动轴承故障诊断方法,具体涉及一种基于图卷积网络的滚动轴承微弱信号复合故障诊断方法。The invention belongs to the technical field of rotating machinery fault diagnosis, and relates to a rolling bearing fault diagnosis method, and in particular to a rolling bearing weak signal composite fault diagnosis method based on a graph convolution network.

背景技术Background technique

滚动轴承作为大型旋转机械装备中的关键零部件,广泛地应用于压缩机、风机、汽轮机、涡轮机、发电机、燃气轮机、航空发电机及各种电动机等机械结构中。滚动轴承等关键零部件的轻微故障都有可能间接影响到系统运行,引发一系列连锁反应,出现设备性能衰减,进而引发系统级故障。预测与健康管理(Prognostics and Health Management,PHM)旨在通过数据监测和分析诊断设备的健康状态并预测故障的发生,从而大大提高状态维护的效率。智能诊断和预测作为PHM系统的两个关键组成部分,它已被广泛地应用于旋转机械的监测,如航空发动机、风力涡轮机、直升机和高速列车等。在机械设备中,复合故障是一种典型的故障,机器学习算法也被广泛应用于机械装备复合故障智能诊断中,并且进行了深入的研究。复合故障的智能诊断方法也可以从机器学习和深度学习两方面进行展开。As key components in large rotating machinery equipment, rolling bearings are widely used in mechanical structures such as compressors, fans, steam turbines, turbines, generators, gas turbines, aviation generators and various electric motors. Minor failures of key components such as rolling bearings may indirectly affect system operation, trigger a series of chain reactions, cause equipment performance degradation, and then cause system-level failures. Prognostics and Health Management (PHM) aims to diagnose the health status of equipment and predict the occurrence of failures through data monitoring and analysis, thereby greatly improving the efficiency of condition maintenance. As two key components of the PHM system, intelligent diagnosis and prediction have been widely used in the monitoring of rotating machinery, such as aerospace engines, wind turbines, helicopters and high-speed trains. In mechanical equipment, compound faults are a typical fault. Machine learning algorithms are also widely used in the intelligent diagnosis of compound faults in mechanical equipment, and have been studied in depth. Intelligent diagnosis methods for compound faults can also be developed from two aspects: machine learning and deep learning.

传统机器学习方法主要包括:k-近邻算法、贝叶斯分类器、支持向量机及人工神经网络等。多年以来,国内外学者一直在探索和运用传统的机器学习方法对机械设备进行智能故障诊断。贾民平等人将变分模态分解和排列熵相结合,通过k-近邻识别轴承的复合故障。Sánchez等人提出了k-近邻学习与随机森林联合的复合故障诊断方法,通过特征排序筛选优质特征,实现了滚动轴承及齿轮箱复合故障诊断。Asr等人提出了非朴素贝叶斯分析的复合故障诊断方法,可以准确辨识轴承单一及复合故障。汤宝平等人提出了正交监督线性局部切空间和最小二乘支持向量机相结合的旋转机械多故障诊断方法,实现了轴承的故障识别。吴军等通过集成两个极限学习机和二分类器,实现了旋转机械复合故障的智能诊断。然而,面对工业大数据,基于传统机器学习模型存在模型复杂度较小、诊断准确率的优劣依赖于特征提取与选择且提取特征的有效性很大程度上取决于专家知识,这限制了智能诊断方法在工业中的应用。Traditional machine learning methods mainly include: k-nearest neighbor algorithm, Bayesian classifier, support vector machine and artificial neural network, etc. For many years, domestic and foreign scholars have been exploring and applying traditional machine learning methods to conduct intelligent fault diagnosis of mechanical equipment. Jia Minping et al. combined variational mode decomposition and permutation entropy to identify composite faults of bearings through k-nearest neighbors. Sánchez et al. proposed a compound fault diagnosis method that combines k-nearest neighbor learning and random forest. By selecting high-quality features through feature sorting, they realized compound fault diagnosis of rolling bearings and gearboxes. Asr et al. proposed a composite fault diagnosis method based on non-naive Bayesian analysis, which can accurately identify single and composite faults of bearings. Tang Baoping et al. proposed a multi-fault diagnosis method for rotating machinery that combines orthogonal supervised linear local tangent space and least squares support vector machine to realize bearing fault identification. Wu Jun et al. achieved intelligent diagnosis of compound faults in rotating machinery by integrating two extreme learning machines and binary classifiers. However, in the face of industrial big data, traditional machine learning models have low model complexity, diagnostic accuracy depends on feature extraction and selection, and the effectiveness of extracted features largely depends on expert knowledge, which limits Application of intelligent diagnostic methods in industry.

近年来,以深度学习为核心的智能诊断方法引领了故障诊断和预测性维护方面工业化创新应用的热潮。目前深度神经网络(Deep Neural Networks,DNNs)主要有卷积神经网络、自动编码器、深度信念网络和循环神经网络等。Sohaib等人提出了二维卷积神经网络复合故障诊断模型,能够准确变工况下的轴承复合故障。李志农等人提出了深度卷积神经网络的智能故障诊断方法,实现了轴承多故障识别。Pecht等人提出了一种无监督稀疏特征学习机制,实现了行星齿轮箱的复合故障诊断。沈长青等人提出了改进的卷积深度信念网络模型,通过多层特征融合技术实现了轴承复合故障诊断。为了克服了人工特征提取、选择和分离所产生的不确定性,基于深度学习的复合故障诊断方法,可以实现从原始数据到机械装备健康状态的端到端的学习。但它们中的大多数方法忽略了数据之间的相互依赖关系。In recent years, intelligent diagnosis methods with deep learning as the core have led to an upsurge of industrial innovative applications in fault diagnosis and predictive maintenance. At present, deep neural networks (Deep Neural Networks, DNNs) mainly include convolutional neural networks, autoencoders, deep belief networks, and recurrent neural networks. Sohaib et al. proposed a two-dimensional convolutional neural network composite fault diagnosis model, which can accurately change bearing composite faults under working conditions. Li Zhinong et al. proposed an intelligent fault diagnosis method using deep convolutional neural network to realize multi-fault identification of bearings. Pecht et al. proposed an unsupervised sparse feature learning mechanism to realize compound fault diagnosis of planetary gearboxes. Shen Changqing and others proposed an improved convolutional deep belief network model to achieve bearing composite fault diagnosis through multi-layer feature fusion technology. In order to overcome the uncertainty caused by manual feature extraction, selection and separation, the composite fault diagnosis method based on deep learning can achieve end-to-end learning from raw data to the health status of mechanical equipment. But most of them ignore the interdependence between data.

图神经网络(Graph Neural Networks,GNNs)与传统深度学习方法不同,可以从非规则数据中挖掘节点之间的关系。旨在对图数据进行建模,在图数据中节点之间的关系反映在连接的边上,边的权重反映了关系的强度。卷积神经网络(Convolutional NeuralNetworks,CNNs)中的卷积也具有同样的功能。由于GNNs在图数据中具有很好的局部结构建模和节点交互的能力,使得GNNs在机械装备的健康监测中已得到广泛应用。图神经网络的典型代表主要有图卷积网络(Graph Convolutional Networks,GCNs)、图递归神经网络(Graph Recurrent Neural Networks,GRNNs)、图自动编码器(Graph Auto-Encoders,GAEs)和图注意力网络(Graph Attention Network,GAT)。GNNs可以对三个任务进行建模,包括:1)节点分类,其中GNNs用于获取每个节点的表示并进行节点分类;2)图分类,利用GNNs获得整个图的表示,然后进行图分类;3)边预测,其中GNNs用于挖掘每个节点之间的关系并预测缺失的边缘。最近,由于GNNs能够对数据之间的相互依赖关系进行建模并将其嵌入到提取的特征中,它们逐渐被研究人员应用于PHM。于等人采用小波包分解风力涡轮机齿轮箱的振动信号并获得图形数据集,然后通过提出的快速深度GCNs实现故障分类。李等人将滚动轴承的振动信号转换为水平可见度图,然后应用GNNs对图数据进行建模并实现故障分类。Gao等人提出加权水平可见性图(Weighted Horizontal Visibility Graph,WHVG)和图傅里叶变换方法相结合的滚动轴承故障诊断方法,能有效识别大部分故障冲击分量具有较强的抗干扰能力。Li等人利用WHVG方法转换为图形数据,边通过采样指标之间的差异进行加权,提出一种结合WHVG的图卷积网络用于轴承故障诊断。Yu等人将固有时间尺度分解和图信号处理相结合,能准确有效地识别航空发动机滚动轴承的复合故障。Yang等人利用多传感器数据获取故障信号的频谱,构建邻接矩阵的标签关系图,通过提出深度胶囊图卷积网络用于诊断多种工况下的复合故障。Zhou等人从多传感器振动信号样本中提取奇异值作为样本节点表示从而构建图数据,利用GCNs从图数据中提取特征进行特征融合实现故障分类。Chen等人提出一种将可用测量值与先验知识相结合的GCNs故障诊断方法,将预诊断结果转化为关联图并在GCNs模型中引入权重系数来调整测量值和先验知识的影响,能够实现部分故障标签下的故障诊断。Wang等人针对在实际场景中大量数据是未标记的数据的问题,提出了一种基于振动指标的图卷积网络故障诊断方法,验证了对标记数据较少的轴承故障诊断具有良好的应用前景。通过文献综述可以发现,基于DNNs的方法与基于GNNs的方法的主要区别在于图的构造和模型的设计。因此,如何将原始数据转化为图结构并设计合适的GNNs网络适用于解决滚动轴承复合故障是所面临的问题。Graph Neural Networks (GNNs) are different from traditional deep learning methods and can mine the relationships between nodes from irregular data. It is designed to model graph data in which the relationships between nodes are reflected in the connected edges, and the edge weights reflect the strength of the relationship. Convolutions in Convolutional Neural Networks (CNNs) also have the same function. Because GNNs have good local structure modeling and node interaction capabilities in graph data, GNNs have been widely used in health monitoring of mechanical equipment. Typical representatives of graph neural networks include Graph Convolutional Networks (GCNs), Graph Recurrent Neural Networks (GRNNs), Graph Auto-Encoders (GAEs) and graph attention networks. (Graph Attention Network, GAT). GNNs can model three tasks, including: 1) node classification, where GNNs are used to obtain the representation of each node and perform node classification; 2) graph classification, where GNNs are used to obtain the representation of the entire graph and then perform graph classification; 3) Edge prediction, where GNNs are used to mine the relationships between each node and predict missing edges. Recently, GNNs are gradually used by researchers in PHM due to their ability to model the interdependencies between data and embed them into extracted features. Yu et al. used wavelet packets to decompose the vibration signals of wind turbine gearboxes and obtain graph datasets, and then implemented fault classification through the proposed fast deep GCNs. Li et al. converted the vibration signals of rolling bearings into horizontal visibility maps, and then applied GNNs to model the map data and achieve fault classification. Gao et al. proposed a rolling bearing fault diagnosis method that combines the Weighted Horizontal Visibility Graph (WHVG) and the graph Fourier transform method, which can effectively identify most of the fault impact components and has strong anti-interference ability. Li et al. used the WHVG method to convert into graph data, and the edges were weighted by the difference between sampling indicators, and proposed a graph convolution network combined with WHVG for bearing fault diagnosis. Yu et al. combined intrinsic time scale decomposition and graph signal processing to accurately and effectively identify composite faults of aeroengine rolling bearings. Yang et al. used multi-sensor data to obtain the spectrum of fault signals, constructed a label relationship graph of the adjacency matrix, and proposed a deep capsule graph convolution network to diagnose composite faults under various working conditions. Zhou et al. extracted singular values from multi-sensor vibration signal samples as sample node representations to construct graph data, and used GCNs to extract features from the graph data for feature fusion to achieve fault classification. Chen et al. proposed a GCNs fault diagnosis method that combines available measurement values with prior knowledge. They converted the pre-diagnosis results into correlation graphs and introduced weight coefficients in the GCNs model to adjust the influence of measurement values and prior knowledge, which can Implement fault diagnosis under some fault tags. In order to solve the problem that a large amount of data is unlabeled data in actual scenarios, Wang et al. proposed a graph convolution network fault diagnosis method based on vibration indicators, which verified that it has good application prospects for bearing fault diagnosis with less labeled data. . Through the literature review, it can be found that the main difference between methods based on DNNs and methods based on GNNs lies in the construction of the graph and the design of the model. Therefore, how to convert raw data into a graph structure and design a suitable GNNs network suitable for solving rolling bearing composite faults is a problem faced.

综上所述,在机械动力传动系统中,由于故障发生具有随机性、并发性、继发性等特点,使得故障发生的频率高发。传统的深度学习方法主要针对单一故障建立模型。当发生复合故障时,其故障特征表现强度分布不均匀且相互叠加、相互干扰,使得传统的深度学习方法较难判断出是哪种故障类型。无论是传统机器学习还是深度学习其数据都是基于欧氏结构数据进行的相关研究,其将所有样本数据视为一个整体进行学习以达到分类的目的。基于图卷积网络的算法可以有效地深挖传统深度学习方法无法利用的样本之间的关联信息。因此,研发一种基于图卷积网络的滚动轴承复合故障诊断方法十分重要。To sum up, in the mechanical power transmission system, due to the randomness, concurrency, and secondary characteristics of faults, faults occur frequently. Traditional deep learning methods mainly build models for single faults. When a compound fault occurs, the fault characteristic intensity distribution is uneven and superimposes and interferes with each other, making it difficult for traditional deep learning methods to determine which fault type it is. Whether it is traditional machine learning or deep learning, the data are related research based on Euclidean structure data, which treats all sample data as a whole for learning to achieve the purpose of classification. Algorithms based on graph convolutional networks can effectively mine the correlation information between samples that cannot be utilized by traditional deep learning methods. Therefore, it is very important to develop a rolling bearing composite fault diagnosis method based on graph convolutional network.

发明内容Contents of the invention

本发明的目的是通过路图拓扑结构构建精细复合多尺度熵图模型,将精细复合多尺度熵与图卷积网络结合,提供一种图卷积网络的滚动轴承微弱信号复合故障诊断方法。The purpose of this invention is to construct a fine composite multi-scale entropy graph model through the road graph topology, combine the fine composite multi-scale entropy with the graph convolution network, and provide a rolling bearing weak signal composite fault diagnosis method of the graph convolution network.

本发明的目的是通过以下技术方案实现的:The purpose of the present invention is achieved through the following technical solutions:

一种图卷积网络的滚动轴承微弱信号复合故障诊断方法,包括如下步骤:A graph convolution network weak signal composite fault diagnosis method for rolling bearings, including the following steps:

步骤一、通过对时域信号进行分段,再将每段信号进行精细复合多尺度熵特征提取,求出多个尺度下的熵值,将每段信号的熵序列作为路图的一个节点,建立基于精细复合多尺度熵的路图模型;采用高斯核函数加权,对不同形式的邻接矩阵进行不同的权值定义,通过度矩阵和邻接矩阵计算出拉普拉斯矩阵,作为图的矩阵表示;Step 1: Segment the time domain signal, and then extract the fine composite multi-scale entropy feature of each segment of the signal to obtain the entropy value at multiple scales. Use the entropy sequence of each segment of the signal as a node of the road map. Establish a road map model based on fine composite multi-scale entropy; use Gaussian kernel function weighting to define different weights for different forms of adjacency matrices, and calculate the Laplacian matrix through the degree matrix and adjacency matrix as a matrix representation of the graph ;

步骤二、采集滚动轴承不同故障状态下的振动信号数据并计算多尺度下的熵值,将样本当作顶点构造路图并计算其对应的邻接矩阵,将打乱后的数据集和邻接矩阵输入到GCN中,实现图级故障诊断。Step 2: Collect the vibration signal data of the rolling bearing under different fault states and calculate the entropy value at multiple scales. Use the samples as vertices to construct a road map and calculate its corresponding adjacency matrix. Input the scrambled data set and adjacency matrix into In GCN, graph-level fault diagnosis is implemented.

相比于现有技术,本发明具有如下优点:Compared with the existing technology, the present invention has the following advantages:

1、路图本身符合振动信号属于连续时间序列信号,满足振动信号随着时间变化的规律性,因此更能从信号中获取到轴承的振动冲击规律。1. The road map itself conforms to the fact that the vibration signal is a continuous time series signal and satisfies the regularity of the vibration signal changing with time. Therefore, the vibration and impact rules of the bearing can be obtained from the signal.

2、基于图任务的GCN模型比节点任务的GCN识别准确率要高,图任务是将图整体作为模型进行训练,包含了内部节点之间的规律性,分析图与图之间的相似性和差异性,更能够获得信号在一段区间内的特征信息。2. The GCN model based on the graph task has a higher recognition accuracy than the GCN model on the node task. The graph task uses the entire graph as a model for training, including the regularity between internal nodes, and analyzes the similarities and differences between graphs. Difference can better obtain the characteristic information of the signal within a certain interval.

3、基于路图拓扑结构的图卷积网络能够在数据量较少的情况下获得较高的诊断准确率,多尺度熵构建的数据样本在少量样本数据下仍然可以获得较好的诊断准确率,且能够准确识别轴承的复合故障类型。3. The graph convolution network based on the road graph topology can obtain higher diagnostic accuracy with a small amount of data. Data samples constructed with multi-scale entropy can still obtain better diagnostic accuracy with a small amount of sample data. , and can accurately identify composite fault types of bearings.

4、通过实验验证表明,与时域或者频域的节点构建方法相比,精细复合多尺度熵考虑了所有熵值的互相关来评估故障检测中的动态条件,边连接方式使得故障信息只会在相同类型故障节点之间进行传递更新,能够有效识别滚动轴承的复合故障类型,提高故障诊断的效率。4. Experimental verification shows that compared with the node construction method in the time domain or frequency domain, fine composite multi-scale entropy considers the cross-correlation of all entropy values to evaluate the dynamic conditions in fault detection. The edge connection method makes the fault information only Transferring updates between fault nodes of the same type can effectively identify composite fault types of rolling bearings and improve the efficiency of fault diagnosis.

附图说明Description of the drawings

图1为基于图卷积网络滚动轴承复合故障诊断模型;Figure 1 is a composite fault diagnosis model for rolling bearings based on graph convolution network;

图2为滚动轴承10种状态下振动信号时域及频域波形;Figure 2 shows the time domain and frequency domain waveforms of the vibration signal in the 10 states of the rolling bearing;

图3为不同故障诊断方法分类准确率(单故障诊断);Figure 3 shows the classification accuracy of different fault diagnosis methods (single fault diagnosis);

图4为不同故障诊断方法的混淆矩阵(单故障诊断);Figure 4 shows the confusion matrix of different fault diagnosis methods (single fault diagnosis);

图5为动力传动系统实验台;Figure 5 shows the power transmission system test bench;

图6为不同故障诊断方法分类准确率(复合故障诊断);Figure 6 shows the classification accuracy of different fault diagnosis methods (composite fault diagnosis);

图7为不同故障诊断方法的混淆矩阵(复合故障诊断)。Figure 7 shows the confusion matrix of different fault diagnosis methods (composite fault diagnosis).

具体实施方式Detailed ways

下面结合附图对本发明的技术方案作进一步的说明,但并不局限于此,凡是对本发明技术方案进行修改或者等同替换,而不脱离本发明技术方案的精神和范围,均应涵盖在本发明的保护范围中。The technical solution of the present invention will be further described below in conjunction with the accompanying drawings, but it is not limited thereto. Any modification or equivalent replacement of the technical solution of the present invention without departing from the spirit and scope of the technical solution of the present invention shall be covered by the present invention. within the scope of protection.

本发明提供了一种图卷积网络的滚动轴承微弱信号复合故障诊断方法,首先,提出基于精细复合多尺度熵的路图模型构建方法,采用多尺度熵的方法,将信号通过滑窗分段为N段,再将每段的时域信号进行精细复合多尺度熵特征提取,应用高斯核函数对不同形式的邻接矩阵定义不同的权值。最后,提出基于图卷积网络的滚动轴承复合故障诊断模型构建,为了实现图级别的故障诊断,使用具有图池化层和读出层的GCN来获得整个图的表示,获得图表示后,可以在此表示上执行标准机器学习技术。具体实施步骤如下:The present invention provides a rolling bearing weak signal composite fault diagnosis method of a graph convolution network. First, a road map model construction method based on fine composite multi-scale entropy is proposed. The multi-scale entropy method is used to segment the signal through a sliding window into N segments, and then perform fine composite multi-scale entropy feature extraction on the time domain signal of each segment, and apply the Gaussian kernel function to define different weights for different forms of adjacency matrices. Finally, a composite fault diagnosis model for rolling bearings based on graph convolutional networks is proposed. In order to achieve graph-level fault diagnosis, GCN with a graph pooling layer and a readout layer is used to obtain the representation of the entire graph. After obtaining the graph representation, it can be Standard machine learning techniques are performed on this representation. The specific implementation steps are as follows:

步骤一、构建基于精细复合多尺度熵的路图模型Step 1. Construct a road map model based on fine composite multi-scale entropy

步骤一一、基于精细复合多尺度熵的路图模型的构建:Step 11. Construction of road map model based on fine composite multi-scale entropy:

将时域信号通过滑窗分段为N段,l为原始数据的样本长度,n为子样本长度,再将每段的时域信号进行精细复合多尺度熵特征提取,求出多个尺度下的熵值,将每个滑窗下的熵序列作为路图的一个节点,建立基于精细复合多尺度熵的路图模型。Segment the time domain signal into N segments through the sliding window, l is the sample length of the original data, n is the sub-sample length, and then the time domain signal of each segment is extracted with fine composite multi-scale entropy features to obtain the entropy values at multiple scales, and the entropy sequence under each sliding window is As a node of the road map, a road map model based on fine composite multi-scale entropy is established.

步骤一二、路图模型的邻接矩阵加权方式:Step 12: Adjacency matrix weighting method of road graph model:

采用高斯核函数加权,对不同形式的邻接矩阵进行不同的权值定义,高斯核函数加权下的连接边权重能有效降低顶点间的差异性,通过度矩阵和邻接矩阵计算出拉普拉斯矩阵,从而对图进行表示。Gaussian kernel function weighting is used to define different weights for different forms of adjacency matrices. The connecting edge weights under Gaussian kernel function weighting can effectively reduce the differences between vertices. The Laplacian matrix is calculated through the degree matrix and adjacency matrix. , thereby representing the graph.

步骤二、构建基于图卷积网络的滚动轴承复合故障诊断模型Step 2: Construct a rolling bearing composite fault diagnosis model based on graph convolution network

步骤二一、采集数据并计算邻接矩阵:Step 21. Collect data and calculate the adjacency matrix:

采集滚动轴承不同故障状态下的振动信号数据,对其进行精细复合多尺度熵处理获得多尺度下的熵值;将所有样本当作顶点构造路图,利用高斯核函数距离运算公式计算出对应的邻接矩阵,并将数据集划分为训练集和测试集并随机打乱。Collect vibration signal data of rolling bearings under different fault states, perform fine composite multi-scale entropy processing on them to obtain entropy values at multiple scales; use all samples as vertices to construct a road map, and use the Gaussian kernel function distance calculation formula to calculate the corresponding adjacency matrix, and divide the data set into a training set and a test set and randomly shuffle them.

步骤二二、图卷积网络的滚动轴承复合故障诊断:Step 22. Composite fault diagnosis of rolling bearings using graph convolution network:

将步骤二一中的邻接矩阵和数据集输入到训练过的GCN网络中,使用前向传播模型对未知标签的滚动轴承测试样本进行故障诊断,最后的故障类型通过Softmax分类器的输出,实现图级故障诊断。Input the adjacency matrix and data set in step 21 into the trained GCN network, use the forward propagation model to perform fault diagnosis on the rolling bearing test sample with unknown label, and the final fault type is passed through the output of the Softmax classifier to achieve graph level Troubleshooting.

实施例:Example:

本实施例中,基于图卷积网络的滚动轴承微弱信号复合故障诊断方法包括如下步骤:In this embodiment, the weak signal composite fault diagnosis method of rolling bearings based on graph convolution network includes the following steps:

步骤一、构建基于精细复合多尺度熵的路图模型;Step 1: Construct a road map model based on fine composite multi-scale entropy;

步骤二、构建基于图卷积网络的滚动轴承复合故障诊断模型。Step 2: Construct a rolling bearing composite fault diagnosis model based on graph convolution network.

本实施例所提出的基于图卷积网络滚动轴承复合故障诊断模型如图1所示,采用CWRU数据集中的轴承故障数据,凯斯西储大学轴承实验平台主要由异步电动机、扭转传感器、交流电力测功机和示功器组成。被测轴承为靠近电机的驱动端6205SKF深沟球轴承。轴承内圈、外圈以及滚动体故障损伤尺寸为0.1778mm、0.3556mm、0.5334mm,转速为1797r/min,采样频率为12kHz。每类故障状态下采集200组,每组包含2048个样本点。首先需要采用最大最小归一化方法进行归一化处理,按照公式∏=[(x1,y1),(x2,y2),…,(xN,yN)]将输入信号分成几个子样本,其中:Π是获得的样本集,x表示子样本,y表示标签,N表示子样本的数量,l为原始数据的样本长度,n为子样本长度。为每个子样本分配相应的标签,利用长度为2048的滑动窗口来截断原始信号而不重叠。其中每个子样本的长度d被设置为2048。然后,可以得到10个样本。在路图的构造过程中,每10个子样本构造一个图数据按从0到9的顺序编号,每个子样本按时间顺序连接。将原始数据通过精细复合多尺度熵后获得总样本数为50000,包含10类轴承故障,每个故障又包含5000个加权熵样本。因此其路图结构的数据表示为一个图由10个节点、9条边所构成,一个节点又由1×25维的向量组成,因此样本总节点数为2000。每个数据集随机抽取其中80%作为训练集,剩余20%作为测试集。迭代次数100,初始学习率为0.01,采用SGD作为优化算法,其中SGD的动量为0.9。批处理规模为64个,每个模型训练100个周期用于故障诊断,学习速率衰减策略也被用来调整学习速率,并且权重衰减值被初始化为0.0005,损失函数为交叉熵不同故障部位及不同故障尺寸进行特征提取实验分析。轴承的具体参数及故障特征频率如表1所示。不同故障状态实验参数设置如表2所示。10种不同故障类型的时域及频域波形如图2所示。The composite fault diagnosis model of rolling bearings based on graph convolution network proposed in this embodiment is shown in Figure 1. Using the bearing fault data in the CWRU data set, the Case Western Reserve University bearing experimental platform mainly consists of an asynchronous motor, a torsion sensor, and an AC power measurement system. It is composed of power machine and power indicator. The bearing under test is a 6205SKF deep groove ball bearing close to the driving end of the motor. The damage dimensions of the bearing inner ring, outer ring and rolling elements are 0.1778mm, 0.3556mm, 0.5334mm, the rotation speed is 1797r/min, and the sampling frequency is 12kHz. 200 groups are collected under each type of fault state, and each group contains 2048 sample points. First, the maximum and minimum normalization method needs to be used for normalization processing, and the input signal is divided into Several subsamples, among which: Π is the obtained sample set, x represents the subsample, y represents the label, N represents the number of subsamples, l is the sample length of the original data, and n is the subsample length. Each subsample is assigned a corresponding label, and a sliding window of length 2048 is utilized to truncate the original signal without overlapping. The length d of each subsample is set to 2048. Then, 10 samples can be obtained. In the construction process of the road map, a graph is constructed for every 10 subsamples. The data is numbered from 0 to 9, and each subsample is connected in chronological order. After passing the original data through fine composite multi-scale entropy, the total number of samples is 50,000, including 10 types of bearing faults, and each fault contains 5,000 weighted entropy samples. Therefore, the data of its road graph structure is represented as a graph consisting of 10 nodes and 9 edges, and each node is composed of a 1×25-dimensional vector, so the total number of nodes in the sample is 2,000. 80% of each data set is randomly selected as the training set, and the remaining 20% is used as the test set. The number of iterations is 100, the initial learning rate is 0.01, and SGD is used as the optimization algorithm, where the momentum of SGD is 0.9. The batch size is 64, and each model is trained for 100 cycles for fault diagnosis. The learning rate attenuation strategy is also used to adjust the learning rate, and the weight attenuation value is initialized to 0.0005. The loss function is cross entropy for different fault locations and different The fault size is analyzed through feature extraction experiments. The specific parameters and fault characteristic frequencies of the bearings are shown in Table 1. The experimental parameter settings for different fault states are shown in Table 2. The time domain and frequency domain waveforms of 10 different fault types are shown in Figure 2.

表1 6205轴承参数及故障特征频率Table 1 6205 bearing parameters and fault characteristic frequency

表2不同故障状态实验参数设置Table 2 Experimental parameter settings for different fault states

(1)不同分类模型下的滚动轴承单故障诊断对比实验验证(1) Comparative experimental verification of single fault diagnosis of rolling bearings under different classification models

为了验证本发明所提方法的有效性,分别采用支持向量机(support vectormachines,SVM)、最邻近分类算法(K-Nearest Neighbor,KNN)、多层感知机(MultilayerPerceptron,MLP)、CNN、长短期记忆(Long Short-Term Memory,LSTM)、GCN模型一共六种诊断方法进行验证。共分为以下三种情况:第一种情况,为了验证传统机器学习模型SVM、KNN,采用精细复合多尺度熵通过高斯核函数构建图模型后进行SVM和KNN分类。第二种情况,为了验证深度学习模型MLP、CNN、LSTM,采用精细复合多尺度熵构建一维数据集,数据样本为1×100的数据结构进行故障分类。第三种情况,为了验证本发明所提方法,通过精细复合多尺度熵通过路图构建图模型,并采用GCN模型进行故障分类。不同故障诊断方法分类准确率如图3所示。In order to verify the effectiveness of the method proposed in this invention, support vector machines (SVM), nearest neighbor classification algorithm (K-Nearest Neighbor, KNN), multilayer perceptron (MLP), CNN, long and short term are respectively used. A total of six diagnostic methods including Long Short-Term Memory (LSTM) and GCN model were used for verification. It is divided into the following three situations: In the first situation, in order to verify the traditional machine learning models SVM and KNN, fine composite multi-scale entropy is used to construct a graph model through the Gaussian kernel function and then perform SVM and KNN classification. In the second case, in order to verify the deep learning models MLP, CNN, and LSTM, fine composite multi-scale entropy is used to construct a one-dimensional data set, and the data sample is a 1×100 data structure for fault classification. In the third case, in order to verify the method proposed by the present invention, a graph model is constructed through the road map through fine composite multi-scale entropy, and the GCN model is used for fault classification. The classification accuracy of different fault diagnosis methods is shown in Figure 3.

从不同故障诊断方法10次迭代下的分类准确率图3中可知,精细复合多尺度熵作为图模型的输入在GCN模型中故障诊断达到100%的识别准确率。与SVM、KNN、MLP、CNN、LSTM模型相比迭代收敛速度更快,模型更加稳定。基于精细复合多尺度熵的深度学习方法故障识别准确率都得到提高。精细复合多尺度熵的特征提取方式使得不同轴承故障类型保持在一定的熵值区间内波动,而且采样路图的拓扑结构考虑的节点和节点之间的关系,考虑了整个轴承故障数据在所有尺度上的变化情况。在图级故障诊断中,采用GCN模型可以获得更好的结果。It can be seen from Figure 3 of the classification accuracy of different fault diagnosis methods under 10 iterations that fine composite multi-scale entropy is used as the input of the graph model to achieve 100% recognition accuracy in fault diagnosis in the GCN model. Compared with SVM, KNN, MLP, CNN, and LSTM models, the iterative convergence speed is faster and the model is more stable. The fault identification accuracy of deep learning methods based on fine composite multi-scale entropy has been improved. The feature extraction method of fine composite multi-scale entropy keeps different bearing fault types fluctuating within a certain entropy value range, and the topology of the sampling road map considers the relationship between nodes and the entire bearing fault data at all scales. changes in the situation. In graph-level fault diagnosis, better results can be obtained by using the GCN model.

为了直观地评价模型的分类效果,采用混淆矩阵进行可视化分析。根据每个故障类别的分类情况,不同故障诊断方法的测试集诊断精确率如表3所示,并绘制了不同故障诊断方法测试样本的混淆矩阵如图4所示。In order to intuitively evaluate the classification effect of the model, a confusion matrix is used for visual analysis. According to the classification of each fault category, the diagnostic accuracy of the test set of different fault diagnosis methods is shown in Table 3, and the confusion matrix of the test samples of different fault diagnosis methods is drawn as shown in Figure 4.

表3不同故障诊断方法的诊断精确率Table 3 Diagnostic accuracy rates of different fault diagnosis methods

通过图4和表3可知,在SVM模型上,滚动体中度故障样本被错误识别为滚动体轻度故障,滚动体中度故障识别精度为51%。内圈中度故障样本被错误识别为内圈重度故障,内圈中度故障识别精度为84%,模型总体识别精度为93.5%。在KNN模型上,滚动体轻度故障样本被错误识别为中度故障,滚动体轻度故障识别精度为92%,模型总体识别精度为99.19%。在MLP模型上,内圈重度故障样本被错误识别为正常,内圈重度故障识别精度为90%。外圈重度故障样本被错误识别为滚动体轻度故障,外圈重度故障识别精度为90%,模型总体识别精度为97%。在CNN模型上,滚动体中度故障样本被错误识别为外圈中度故障,滚动体中度故障识别精度为90%。外圈重度故障样本被错误识别为滚动体重度故障,外圈重度故障识别精度为90%,模型总体识别精度为98%。在LSTM模型上,滚动体重度故障样本被错误识别为外圈中度故障,滚动体重度故障识别精度为80%。内圈重度故障样本被错误识别为外圈中度故障,内圈重度故障识别精度为90%,外圈重度故障样本被错误识别为外圈中度故障,外圈重度故障识别精度为90%,模型总体识别精度为96%。GCN模型在整体和局部故障识别精度均为100%,具有较高的辨识精确率。It can be seen from Figure 4 and Table 3 that on the SVM model, samples with moderate rolling element faults are incorrectly identified as rolling element mild faults, and the identification accuracy of moderate rolling element faults is 51%. The moderate fault sample of the inner ring was mistakenly identified as a severe inner ring fault. The identification accuracy of the moderate fault of the inner ring was 84%, and the overall identification accuracy of the model was 93.5%. On the KNN model, samples with mild rolling element faults were incorrectly identified as moderate faults. The recognition accuracy of mild rolling element faults was 92%, and the overall recognition accuracy of the model was 99.19%. On the MLP model, samples with severe inner ring faults were incorrectly identified as normal, and the identification accuracy of severe inner ring faults was 90%. The sample with a severe outer ring fault was mistakenly identified as a minor rolling element fault. The identification accuracy of the severe outer ring fault was 90%, and the overall recognition accuracy of the model was 97%. On the CNN model, samples with moderate rolling element faults were incorrectly identified as moderate faults in the outer ring, and the identification accuracy of moderate rolling element faults was 90%. The severe fault sample of the outer ring was mistakenly identified as a severe fault of the rolling body. The identification accuracy of severe outer ring faults was 90%, and the overall identification accuracy of the model was 98%. On the LSTM model, the rolling body severe fault sample was incorrectly identified as a moderate outer ring fault, and the rolling body severe fault identification accuracy was 80%. A sample with a severe fault in the inner ring was mistakenly identified as a moderate fault in the outer ring, and the identification accuracy of a severe fault in the inner ring was 90%. A sample with a severe fault in the outer ring was mistakenly identified as a moderate fault in the outer ring, and the identification accuracy of a severe fault in the outer ring was 90%. The overall recognition accuracy of the model is 96%. The GCN model has 100% accuracy in overall and local fault identification, and has a high identification accuracy rate.

(2)不同分类模型下的滚动轴承复合故障诊断对比实验验证(2) Comparative experimental verification of rolling bearing composite fault diagnosis under different classification models

采用XJTU Gearbox实验平台,由驱动电机、控制器、行星齿轮箱、平行轴齿轮箱和制动器组成,如图5所示。其中,电机类型为三相3马力电机,电源为三相交流。两级行星齿轮箱由两级行星轮系构成,第一级为太阳轮带3个行星轮,第二级为太阳轮带4个行星轮,总体传动比为27:1,行星轮轴承为滚动轴承61800,被测轴承安装在行星齿轮箱的行星轮支撑座上。在行星齿轮箱的X和Y方向上安装两个1加速度传感器PCB352C04,用于采集振动信号,并使用Y方向的信号。在实验中,在行星齿轮箱上预制了四种类型轴承故障模式,包括滚动体故障、内圈故障、外圈故障和复合故障。与正常状态一起,共采集了5种振动信号。此外,在实验期间,电机速度设置为1800r/min,采样频率设置为20.48kHz。The XJTU Gearbox experimental platform is used, which consists of a drive motor, a controller, a planetary gearbox, a parallel axis gearbox and a brake, as shown in Figure 5. Among them, the motor type is a three-phase 3-horsepower motor, and the power supply is a three-phase AC. The two-stage planetary gearbox is composed of a two-stage planetary gear train. The first stage is a sun gear with 3 planetary gears, and the second stage is a sun gear with 4 planetary gears. The overall transmission ratio is 27:1, and the planetary gear bearings are rolling bearings. 61800, the bearing under test is installed on the planet wheel support seat of the planetary gearbox. Install two 1 acceleration sensors PCB352C04 in the X and Y directions of the planetary gearbox to collect vibration signals and use the signals in the Y direction. In the experiment, four types of bearing failure modes were prefabricated on the planetary gearbox, including rolling element failure, inner ring failure, outer ring failure and composite failure. Together with the normal state, a total of 5 vibration signals were collected. In addition, during the experiment, the motor speed was set to 1800r/min and the sampling frequency was set to 20.48kHz.

样本的选取方式与上述CWRU数据集一致,并将原始数据通过精细复合多尺度熵后获得总样本数为25000,包含5类轴承故障,每个故障又包含5000个熵样本。因此其路图结构的数据表示为一个图由10个节点、9条边所构成,一个节点又由1×25维的向量组成,因此样本总节点数为1000。每个数据集随机抽取其中80%作为训练集,剩余20%作为测试集。迭代次数100。分别采用SVM、KNN、MLP、CNN、LSTM、GCN模型一共六种诊断方法进行验证。共分为以下三种情况:第一种情况,为了验证传统机器学习方法SVM、KNN与图模型相结合的效果,采用精细复合多尺度熵通过高斯核函数构建图模型后进行故障分类。第二种情况,为了验证深度学习模型MLP、CNN、LSTM,采用精细复合多尺度熵构建一维数据集,数据样本为1×100的数据结构进行故障分类。第三种情况,为了验证本文所提方法,通过精细复合多尺度熵通过路图构建图模型,并采用GCN模型进行故障分类。不同故障诊断方法分类准确率如图6所示。The sample selection method is consistent with the above-mentioned CWRU data set, and the original data is passed through fine composite multi-scale entropy to obtain a total sample number of 25,000, including 5 types of bearing faults, and each fault contains 5,000 entropy samples. Therefore, the data of its road graph structure is represented as a graph consisting of 10 nodes and 9 edges, and each node is composed of a 1×25-dimensional vector, so the total number of nodes in the sample is 1,000. 80% of each data set is randomly selected as the training set, and the remaining 20% is used as the test set. The number of iterations is 100. A total of six diagnostic methods including SVM, KNN, MLP, CNN, LSTM, and GCN models were used for verification. It is divided into the following three situations: In the first situation, in order to verify the effect of combining traditional machine learning methods SVM, KNN and graphical models, fine composite multi-scale entropy is used to construct a graphical model through Gaussian kernel function and then perform fault classification. In the second case, in order to verify the deep learning models MLP, CNN, and LSTM, fine composite multi-scale entropy is used to construct a one-dimensional data set, and the data sample is a 1×100 data structure for fault classification. In the third case, in order to verify the method proposed in this article, a graph model is constructed through the road map through fine composite multi-scale entropy, and the GCN model is used for fault classification. The classification accuracy of different fault diagnosis methods is shown in Figure 6.

从图6中可知,精细复合多尺度熵作为图模型的输入在GCN模型中故障诊断达到100%的识别精度。与SVM、KNN、MLP、CNN、LSTM模型相比迭代收敛速度更快,模型更加稳定。精细复合多尺度熵的特征提取方式使得不同轴承故障类型保持在一定的熵值区间内波动,路图的拓扑结构考虑的节点和节点之间的关系,考虑了整个轴承故障数据在所有尺度上的变化情况。在图级故障诊断中,采用GCN模型可以获得更好的结果。为了直观地展示每个故障类别的分类情况,绘制了不同故障诊断方法的测试样本的混淆矩阵如图7所示,不同故障诊断方法的测试集诊断精确率如表4所示。It can be seen from Figure 6 that fine composite multi-scale entropy is used as the input of the graph model to achieve 100% recognition accuracy in fault diagnosis in the GCN model. Compared with SVM, KNN, MLP, CNN, and LSTM models, the iterative convergence speed is faster and the model is more stable. The feature extraction method of fine composite multi-scale entropy keeps different bearing fault types fluctuating within a certain entropy value range. The topological structure of the road map considers the relationship between nodes and the entire bearing fault data at all scales. Changes. In graph-level fault diagnosis, better results can be obtained by using the GCN model. In order to visually display the classification of each fault category, the confusion matrix of test samples for different fault diagnosis methods is drawn as shown in Figure 7. The diagnosis accuracy of the test set for different fault diagnosis methods is shown in Table 4.

表4不同故障诊断方法的诊断精确率Table 4 Diagnostic accuracy rates of different fault diagnosis methods

通过图7和表4可知,在SVM模型上,滚动体故障样本被错误识别为复合故障,滚动体故障识别精度为98%。外圈故障样本被错误识别为复合故障,外圈故障识别精度为95%。复合故障样本被错误识别为外圈故障,复合故障识别精度为94%。模型总体识别精度为97.38%。在KNN模型上,复合故障样本被错误识别为内圈故障,复合故障识别精度为99%,模型总体识别精度为99.75%。在MLP模型上,滚动体故障样本被错误识别为外圈故障,滚动体故障识别精度为90%。内圈故障样本被错误识别为滚动体故障,内圈故障识别精度为90%。复合故障样本被错误识别为外圈故障,复合故障识别精度为90%,模型总体识别精度为94%。在CNN模型上,滚动体故障样本被错误识别为复合故障,滚动体故障识别精度为90%,模型总体识别精度为98%。在LSTM模型上,滚动体故障样本被错误识别为复合故障,滚动体故障识别精度为90%,模型总体识别精度为98%。GCN模型在整体和局部故障识别精度均为100%,具有较高的辨识精确率。It can be seen from Figure 7 and Table 4 that on the SVM model, the rolling element fault samples are incorrectly identified as composite faults, and the rolling element fault identification accuracy is 98%. The outer ring fault sample was incorrectly identified as a composite fault, and the outer ring fault identification accuracy was 95%. The composite fault sample was incorrectly identified as an outer ring fault, and the composite fault identification accuracy was 94%. The overall recognition accuracy of the model is 97.38%. On the KNN model, the composite fault sample was incorrectly identified as an inner ring fault, the composite fault identification accuracy was 99%, and the overall model identification accuracy was 99.75%. On the MLP model, the rolling element fault sample was incorrectly identified as an outer ring fault, and the rolling element fault identification accuracy was 90%. The inner ring fault sample was mistakenly identified as a rolling element fault, and the inner ring fault identification accuracy was 90%. The composite fault sample was incorrectly identified as an outer ring fault. The composite fault identification accuracy was 90%, and the overall model identification accuracy was 94%. On the CNN model, the rolling element fault sample was incorrectly identified as a composite fault, the rolling element fault identification accuracy was 90%, and the overall model identification accuracy was 98%. On the LSTM model, the rolling element fault sample was incorrectly identified as a composite fault, the rolling element fault identification accuracy was 90%, and the overall model identification accuracy was 98%. The GCN model has 100% accuracy in overall and local fault identification, and has a high identification accuracy rate.

Claims (1)

1. A rolling bearing weak signal composite fault diagnosis method of a graph rolling network is characterized by comprising the following steps:
step one, segmenting a time domain signal, extracting fine composite multi-scale entropy characteristics of each segment of signal, solving entropy values under multiple scales, taking an entropy sequence of each segment of signal as a node of a road map, and establishing a road map model based on fine composite multi-scale entropy; different weight definitions are carried out on adjacent matrixes in different forms by adopting Gaussian kernel function weighting, and a Laplacian matrix is calculated through a degree matrix and the adjacent matrix and is used as matrix representation of a graph, and the method comprises the following specific steps of:
step one, constructing a road map model based on fine composite multi-scale entropy:
the time domain signal is segmented into N segments by sliding windows,l is the sample length of the original data, n is the sub-sample lengthCarrying out fine composite multi-scale entropy feature extraction on the time domain signals of each section, solving entropy values under a plurality of scales, taking the entropy sequence under each sliding window as a node of a road map, and establishing a road map model based on fine composite multi-scale entropy;
step two, a neighbor matrix weighting mode of a road map model:
different weight definitions are carried out on adjacent matrixes in different forms by adopting Gaussian kernel function weighting, the connection edge weight under the Gaussian kernel function weighting can effectively reduce the difference between vertexes, and a Laplace matrix is calculated through a degree matrix and the adjacent matrix, so that the graph is represented;
collecting vibration signal data of the rolling bearing in different fault states, calculating entropy values under multiple scales, constructing a road map by taking a sample as a vertex, calculating a corresponding adjacent matrix, inputting a disturbed data set and the adjacent matrix into the GCN, and realizing map-level fault diagnosis, wherein the method comprises the following specific steps of:
step two, collecting data and calculating an adjacency matrix:
collecting vibration signal data of the rolling bearing in different fault states, and performing fine composite multi-scale entropy processing on the vibration signal data to obtain entropy values in multiple scales; constructing a road map by taking all samples as vertexes, calculating a corresponding adjacency matrix by utilizing a Gaussian kernel function distance operation formula, dividing a data set into a training set and a testing set, and randomly disturbing the training set and the testing set;
step two, rolling bearing compound fault diagnosis of the graph rolling network:
and step two, inputting the adjacency matrix and the data set in the step two into a trained GCN network, performing fault diagnosis on the rolling bearing test sample of the unknown label by using a forward propagation model, and outputting the final fault type through a Softmax classifier to realize image level fault diagnosis.
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