FAULT DIAGNOSIS APPROACH FOR ROLLER BEARINGS BASED ON EMPIRICAL MODE DECOMPOSITION METHOD AND HILBERT TRANSFORM

Based upon empirical mode decomposition (EMD) method and Hilbert spectrum, a method for fault diagnosis of roller bearing is proposed. The orthogonal wavelet bases are used to translate vibration signals of a roller bearing into time-scale representation, then, an envelope signal can be obtained by envelope spectrum analysis of wavelet coefficients of high scales. By applying EMD method and Hilbert transform to the envelope signal, we can get the local Hilbert marginal spectrum from which the faults in a roller bearing can be diagnosed and fault patterns can be identified. Practical vibration signals measured from roller bearings with out-race faults or inner-race faults are analyzed by the proposed method. The results show that the proposed method is superior to the traditional envelope spectrum method in extracting the fault characteristics of roller bearings.     

Hilbert-Huang变换在滚动轴承故障诊断中的应用

提出了一种新的滚动轴承故障诊断方法——基于小波系数包络信号的局部Hilbert边际谱方法，在Hilbert—Huang变换的基础上介绍了局部Hilbert谱和局部Hilbert边际谱，并将它应用于滚动轴承的故障诊断中。用小波基将滚动轴承故障振动信号分解，对高频段的小波系数用Hilbert进行包络分析得到包络信号，再对包络信号进行Hilbert—Huang变换求出局部Hilbert边际谱，从局部Hilbert边际谱中就可以判断滚动轴承的故障部位和类型。通过对滚动轴承具有外圈缺陷、内圈缺陷的情况下的振动信号的分析，说明该方法比传统的包络分析方法更能有效地提取滚动轴承故障特征。     

An automated procedure for detection and identification of ball bearing damage using multivariate statistics and pattern recognition

This paper suggests an automated approach for fault detection and classification in roller bearings, which is based on pattern recognition and principal components analysis of the measured vibration signals. The signals recorded are pre-processed applying a wavelet transform in order to extract the appropriate high frequency (detailed) area needed for ball bearing fault detection. This is followed by a pattern recognition (PR) procedure used to recognise between signals coming from healthy bearings and those generated from different bearing faults. Four categories of signals are considered, namely no fault signals (from a healthy bearing), inner race fault, outer race fault and rolling element fault signals. The PR procedure uses the first six principal components extracted from the signals after a proper principal component analysis (PCA). In this work a modified PCA is suggested, which is much more appropriate for categorical data. The combination of the modified PCA and the PR method ensures that the fault is automatically detected and classified to one of the considered fault categories. The method suggested does not require the knowledge/determination of the specific fault frequencies and/or any expert analysis: once the signal filtering is done and the PC's are found the PR method automatically gives the answer if there is a fault present and its type.     

基于小波包和AR谱分析的滚动轴承故障诊断

针对滚动轴承故障振动信号的非平稳性,提出了一种基于小波包和AR谱分析的滚动轴承故障诊断方法.该方法对系统输出信号进行小波包分解,然后进行重构,再对重构信号进行AR谱分析,从而提取出故障特征频率.试验结果表明,这种方法能有效地提取滚动轴承的故障特征,诊断其故障.     

改进ILoG算子的故障检测方法

针对强背景噪声干扰下轮对轴承故障特征微弱、难以准确检测的问题,提出了一种自适应改进高斯拉普拉斯(improved Laplacian of Gaussian,简称ILoG)算子的微弱故障检测方法。ILoG算子滤波器具有优良的信号突变特征检测能力,将其用于轮对轴承故障信号的冲击特征检测,同时利用水循环算法(water cycle algorithm,简称WCA)的寻优特性,并行搜寻筛选最佳的ILoG算子影响参数,通过对参数优化后ILoG算子滤波后信号做进一步包络解调分析,提取出轮对轴承微弱的故障特征信息。对实际轮对轴承外圈和内圈故障信号分析的结果表明,该方法可以有效检测出轴承微弱故障特征频率,故障检测效果优于小波阈值和多尺度形态学差值滤波方法。     

Precise measurement of defect width in tapered roller bearing using vibration signal

The present experimental investigation is focused on establishing a robust signal processing technique to measure the width of the defect present on the outer or inner race of a tapered roller bearing. An experiment has been designed with roller bearings having various widths of seeded faults, on outer and inner races, respectively. The corresponding vibration signals have been investigated with the proposed method. This method initially denoises the vibration signal using un-decimated wavelet transform. The approximation signal has been shown to be effective for further time–frequency analysis using continuous wavelet transform (CWT). It is not only difficult but ambiguous as well to detect the entry and the exit points of the defect. The ambiguity gets reduced by using Symlet wavelet due to its linear phase nature which maintains sharpness in the signal even when there is a sudden change in signal. In the first phase of the measurement, the scalogram generated from CWT is used to measure the time duration that the roller takes to roll over the defect. However, measurement process is dramatically enhanced with the proposed ridge spectrum, which is generated from the CWT scalogram. The vertical strips drawn on the ridge spectrum corroborates well with defect width. Summarizing, the proposed method can be reckoned suitable and reliable in measuring bearing defect width in real-time from vibration signal.     

基于小波包近似熵和SVM的圆柱滚子轴承诊断

为了解决特种车辆变速箱圆柱滚子轴承由于振动信号的非线性、非平稳特征较为微弱,提取的特征量数值不明显且现实中难以获得大量含丰富特征的典型故障样本而难以对其进行准确诊断的问题,应用小波包近似熵和支持向量机对特种车辆变速箱圆柱滚子轴承进行诊断。首先,在自行搭建的模拟实验台上采集某型特种车辆变速箱圆柱滚子轴承正常、外圈磨损、滚动体故障、点蚀和压痕4种典型状态的振动信号;然后,分别提取4种典型状态振动信号的小波包近似熵值作为支持向量机的输入,根据支持向量机的输出结果来确定圆柱滚子轴承是否发生故障和故障类型。结果表明,该方法能有效对某型特种车辆变速箱圆柱滚子轴承的典型状态进行诊断,为其他相似变速箱圆柱滚子轴承的故障诊断提供一种参考途径,具有一定的工程实用价值。     

Transient modeling and parameter identification based on wavelet and correlation filtering for rotating machine fault diagnosis

At constant rotating speed, localized faults in rotating machine tend to result in periodic shocks and thus arouse periodic transients in the vibration signal. The transient feature analysis has always been a crucial problem for localized fault detection, and the key aim for transient feature analysis is to identify the model and its parameters (frequency, damping ratio and time index) of the transient, and the time interval, i.e. period, between transients. Based on wavelet and correlation filtering, a technique incorporating transient modeling and parameter identification is proposed for rotating machine fault feature detection. With the proposed method, both parameters of a single transient and the period between transients can be identified from the vibration signal, and localized faults can be detected based on the parameters, especially the period. First, a simulation signal is used to test the performance of the proposed method. Then the method is applied to the vibration signals of different types of bearings with localized faults in the outer race, the inner race and the rolling element, respectively, and all the results show that the period between transients, representing the localized fault characteristic, is successfully detected. The method is also utilized in gearbox fault diagnosis and the effectiveness is verified through identifying the parameters of the transient model and the period. Moreover, it can be drawn that for bearing fault detection, the single-side wavelet model is more suitable than double-side one, while the double-side model for gearbox fault detection. This research proposed an effective method of localized fault detection for rotating machine fault diagnosis through transient modeling and parameter detection.     

基于PPCA-EWT的滚动轴承轻微故障诊断

针对经验小波变换(empirical wavelet transform,简称EWT)在强背景噪声下对轴承的轻微故障特征提取不足的问题,提出了概率主成分分析(probabilistic principal component analysis,简称PPCA)结合EWT的滚动轴承轻微故障诊断方法。首先,对信号做PPCA预处理,提取信号主要故障特征成分,去除强背景噪声干扰;然后,采用EWT方法分解轴承故障信号,按相关系数-峭度准则选出故障特征较为明显的分量,并将所选分量重构故障信号;最后,对信号采取包络分析,提取出轴承故障特征。仿真和实验结果表明,该方法能够有效地诊断出轴承故障且效果优于对信号进行EWT包络分析。     

基于小波变换的滚动轴承内圈故障诊断

利用小波变换将滚动轴承故障振动加速度信号分解到不同尺度,对包含有故障特征频率的小波系数进行Hirbert变换解调,最后对解调后的信号进行频谱分析获取轴承故障特征信息.实例分析表明,利用小波变换进行滚动轴承内圈故障诊断具有良好的诊断效果.     

Detection of signal transients based on wavelet and statistics for machine fault diagnosis

This paper presents a transient detection method that combines continuous wavelet transform (CWT) and Kolmogorov–Smirnov (K–S) test for machine fault diagnosis. According to this method, the CWT represents the signal in the time-scale plane, and the proposed “step-by-step detection” based on K–S test identifies the transient coefficients. Simulation study shows that the transient feature can be effectively identified in the time-scale plane with the K–S test. Moreover, the transients can be further transformed back into the time domain through the inverse CWT. The proposed method is then utilized in the gearbox vibration transient detection for fault diagnosis, and the results show that the transient features both expressed in the time-scale plane and re-constructed in the time domain characterize the gearbox condition and fault severity development more clearly than the original time domain signal. The proposed method is also applied to the vibration signals of cone bearings with the localized fault in the inner race, outer race and the rolling elements, respectively. The detected transients indicate not only the existence of the bearing faults, but also the information about the fault severity to a certain degree.     

SINGULARITY ANALYSIS USING CONTINUOUS WAVELET TRANSFORM FOR BEARING FAULT DIAGNOSIS

In this paper, wavelet transform is applied to detect abrupt changes in the vibration signals obtained from operating bearings being monitored. In particular, singularity analysis across all scales of the continuous wavelet transform is performed to identify the location (in time) of defect-induced bursts in the vibration signals. Through modifying the intensity of the wavelet transform modulus maxima, defect-related vibration signature is highlighted and can be easily associated with the bearing defect characteristic frequencies for diagnosis. Due to the fact that vibration characteristics of faulty bearings are complex and defect-related vibration signature is normally buried in the wideband noise and high frequency structural resonance, simple signal processing cannot be used to detect bearing fault. We show, through experimental results, that the proposed method has the ability to discriminate noise from the signal significantly and is robust to bearing operating conditions, such as load and speed, and severity of the bearing damage. These properties are desirable for automatic detection of machine faults.     

基于LMD和增强包络谱的滚动轴承故障分析

针对滚动轴承发生故障时振动信号幅值分布的峭度和歪度都会发生变化的特点,提出基于峭度-歪度的局部均值分解分量筛选准则,将峭度值和歪度绝对值最大的分量筛选出来并重构故障信号,以达到降噪的目的。对降噪后的信号进行增强包络谱分析,得到故障的特征频率。应用提出的新方法对实测的滚动轴承外圈、滚动体和内圈发生故障时的振动信号分别进行了分析。结果表明,基于峭度-歪度的局部均值分解分量筛选准则有效地降低了信号中的噪声,在此基础上应用增强包络谱有效地减少带内噪声影响,从而使故障特征信息凸现出来,有利于对滚动轴承的各种故障进行诊断。     

基于余弦调频小波变换的滚动轴承故障研究

针对滚动轴承故障振动信号的特点，构造余玄调频小波，采用连续小波变换的方法来提取滚动轴承故障振动信号的特征，在此基础上提出了一种滚动轴承故障诊断方法：时间一小波能量谱自相关分析法。通过对滚动轴承具有缺陷的情况下振动信号的分析，说明时间一小波能量谱自相关分析法不仅能检测到滚动轴承故障的存在，而且能有效地识别滚动轴承的故障模式。     

小波包分析在轴承早期故障诊断中的应用

为了识别轴承早期损伤引起的故障信号,利用小波包对轴承的振动信号进行处理。小波包分析的实质是对小波分解的结果作进一步细分,因而具有比小波分解高得多的频域分辨能力。文中用小波包分析了两个存在早期轻微损伤的轴承的振动信号,并比较了自然序、Gray序以及移频算法的处理结果。这些分析结果表明,小波包分析能够有效地将隐藏在正常振动信号之中的早期弱故障信号提取出来,从而发现轴承的早期损伤。     

基于小波包变换与样本熵的滚动轴承故障诊断

针对滚动轴承振动信号的不规则性和复杂性可以反映轴承故障的发生和发展,提出一种基于小波包变换与样本熵的轴承故障诊断方法。样本熵可以较少地依赖时间序列的长度,将轴承振动信号进行3层小波包分解,利用分解得到的各个频带的样本熵值作为特征向量,利用支持向量机对轴承故障进行分类。对轴承内圈故障、滚动体故障和外圈故障3种故障及不同损伤程度的实测数据进行实验,结果表明该方法取得较高的识别率,具有一定的工程应用价值。     

A fault diagnosis approach for roller bearing based on VPMCD under variable speed condition

Essentially the fault diagnosis of roller bearing is a process of pattern recognition. However, existing pattern recognition method failed to capitalize on the nature of multivariate associations between the extracted fault features. Targeting such limitation, a new pattern recognition method – variable predictive model based class discriminate (VPMCD) is introduced into roller bearing fault identification. The VPMCD consider that all or part of the feature values will exhibit interactions in nature and these associations will have different performances between different classes, which is always true in practice when faults occur in roller bearings. Target to the characteristics of non-stationary and amplitude-modulated and frequency-modulated (AM–FM) of vibration signal picked up under variable speed condition, a fault diagnosis method based upon the VPMCD, order tracking technique and local mean decomposition (LMD) is put forward and applied to the roller bearing fault identification. Firstly, LMD and order tracking analysis method are combined to extract the fault features of roller bearing vibration signals under variable speed condition; Secondly, the feature values are regard as the input of VPMCD classifier; finally, the working condition and fault patterns of the roller bearings are identified automatically by the output of VPMCD classifier. The analysis results from experimental signals with normal and defective roller bearings indicate that the proposed fault diagnosis approach can distinguish the roller bearing status-with or without fault and fault patterns under variable speed condition accurately and effectively.     

滚动轴承故障特征提取的EMD频谱自相关方法

首先,在论述频谱自相关方法(spectrum auto-correlation,简称SAC)的特点、经验模态分解(empirical mode decomposition,简称EMD)分析过程和轴承故障机理的基础上,指出了在故障信号不占主导作用时频谱自相关方法在轴承故障诊断中的局限性,并得到仿真算例验证;然后,提出了基于经验模态分解和频谱自相关的轴承故障特征提取方法,将经验模态分解得到的各分量进行分析比较,再对适合的分量进行频谱自相关分析,可有效提出轴承故障频率;最后,分别在轴承故障试验台实测了深沟球轴承和圆柱滚子轴承内外圈故障振动数据,结果表明,EMD-频谱自相关分析方法可以很好地提取轴承故障信号,较单一EMD分解、频谱自相关和峭度等方法效果更好,为轴承故障诊断提供了新思路。     

Weak fault detection method of rolling bearing based on testing signal far away from fault source

In some cases, because of the complex internal structure of the machines, the positions of the vibration sensors are far away from the rolling bearings, such as in an aeroengine, causing the fault features to become extremely weak, which brings great challenge to the detection of rolling bearings. To address this problem, an integrated detection method is proposed. First, a method named MEDL is proposed to determine the optimal filter length in minimum entropy deconvolution (MED) to enhance the periodic fault impulse component in the weak signal, which accuracy is 1. After that, the MEDL is combined with variational mode decomposition (VMD) and autocorrelation to extract fault features from strong background noise. A series of fault simulation experiments for rolling bearings were conducted by using an aeroengine rotor experimental rig with casing. The results verify that the accuracy of the integrated detection method is 100 % in different measuring points, speeds and fault types. At the same time, it compared with spectral kurtosis (SK) and empirical wavelet transform (EWT). It proves that the integrated detection method is more robust in extracting the weak fault characteristic of rolling bearings from the casing signals effectively.     

Identification of faults through wavelet transform vis-à-vis fast Fourier transform of noisy vibration signals emanated from defective rolling element bearings

Fault diagnosis of rolling element bearings requires efficient signal processing techniques. For this purpose, the performances of envelope detection with fast Fourier transform (FFT) and continuous wavelet transform (CWT) of vibration signals produced from a bearing with defects on inner race and rolling element, have been examined at low signal to noise ratio. Both simulated and experimental signals from identical bearings have been considered for the purpose of analysis. The bearings have been modeled as spring-mass-dashpot systems and the simulated signals have been obtained considering transfer functions for the bearing systems subjected to impulsive loads due to the defects. Frequency B spline wavelets have been applied for CWT and a discussion on wavelet selection has been presented for better effectiveness. Results show that use of CWT with the proposed wavelets overcomes the short coming of FFT while processing a noisy vibration signals for defect detection of bearings.