基于经验模态分解包络谱的滚动轴承故障诊断方法

针对滚动轴承故障振动信号的非平稳特征和传统包络分析法的缺陷,提出了一种基于经验模态分解包络谱的滚动轴承故障诊断方法.该方法首先采用经验模态分解将原始信号分解为若干个平稳的固有模态函数之和,然后求出包含主要故障信息的若干个固有模态函数分量的包络谱,再定义包络谱中故障特征频率处的幅值比为特征幅值比,最后以特征幅值比作为故障特征向量,输入神经网络,以神经网络的输出来判断滚动轴承的工作状态和故障类型.对滚动轴承内圈、外圈故障振动信号的分析结果表明,基于经验模态分解包络谱的故障诊断方法能有效地提取滚动轴承的故障特征.     

基于WAEEMD和MSB的滚动轴承故障特征提取

针对调制信号双谱（MSB）方法仅能处理平稳信号的不足,提出了一种基于加权平均集成经验模态分解（WAEEMD）和MSB的滚动轴承故障特征提取方法。首先,利用WAEEMD将滚动轴承的非平稳振动信号分解成一系列具有平稳特性的固有模态函数（IMF）;然后,开发了一种基于Teager能量峭度（TEK）的加权平均方法以强调敏感IMF的重要性,并将加权后的IMF重构为WAEEMD滤波信号;最后,应用MSB分解WAEEMD滤波信号中的调制分量并提取故障特征频率。仿真和实验结果表明,相对于快速谱峭度（FK）和EEMD-MSB方法,WAEEMD-MSB方法能更准确地获取故障特征,从而验证了WAEEMD-MSB方法的有效性。     

基于本征模态函数包络谱的滚动轴承故障诊断

针对滚动轴承故障振动信号非平稳的特征,以及传统傅里叶变换不能反映信号细节的缺陷,引入了一种基于本征模态函数包络谱的方法。首先,采用经验模态分解（empirical mode decomposition,EMD）将滚动轴承故障振动信号分解成若干个本征模态函数（intrinsic mode function,IMF）之和;然后,求出包含主要信息成分的IMF分量的Hilbert包络谱;最后,对照滚动轴承故障特征频率,进而判定故障类型。通过对滚动轴承内圈、外圈故障振动信号的分析处理,表明该方法能有效地提取滚动轴承的故障特征。     

基于LMD和阶次跟踪分析的滚动轴承故障诊断

变转速工况下的滚动轴承故障振动信号具有多分量调制以及故障特征频率受到转频调制的特点,从而导致故障特征提取困难。对此,将局部均值分解(local mean decomposition,简称LMD)与阶次跟踪分析相结合,提出了一种变转速工况下的滚动轴承故障诊断方法。首先,采用阶次跟踪采样将时域滚动轴承故障振动信号转换到角域;然后,对角域信号进行LMD分解得到若干个乘积函数(product function,简称PF)分量;最后,对各个PF分量的瞬时幅值进行频谱分析,判断滚动轴承的故障部位和类型。通过对滚动轴承实验故障振动信号的分析,结果表明该方法能有效地应用于变转速工况下的滚动轴承故障诊断。     

基于参数自适应特征模态分解的滚动轴承故障诊断方法

针对强背景噪声下轴承故障信息难以有效提取的问题,提出一种基于参数自适应特征模态分解的滚动轴承故障诊断方法。首先,为了克服原始特征模态分解(FMD)需要依赖人为经验设定关键参数而不具有自适应性的缺点,提出基于平方包络谱特征能量比(FER-SES)的网格搜索方法自动地确定FMD的模态个数n和滤波器长度L;随后,采用参数优化的FMD将原轴承振动信号划分为n个模态分量,并选取具有最大FER-SES的模态分量为敏感模态分量;最后,通过计算敏感模态分量的平方包络谱来提取故障特征频率,从而判别轴承故障类型。通过仿真信号和工程案例分析验证了提出方法的有效性。与变分模态分解(VMD)和谱峭度方法(SK)相比,提出方法具有更好的故障特征提取性能。     

基于多特征参数和概率神经网络的滚动轴承故障诊断方法

针对滚动轴承故障振动信号的非平稳特性,提出了一种基于多特征参数和概率神经网络的滚动轴承故障诊断方法。首先利用经验模态分解（EMD）方法将采集到的滚动轴承原始振动信号分解为有限个固有模式函数（IMF）之和,然后提取表征故障信息的若干个IMF的能量、峭度和偏度作为概率神经网络的输入参数来进行故障分类。试验结果表明,该方法可以准确、有效地识别滚动轴承的工作状态和故障类型,是一种可行的滚动轴承故障诊断方法。     

Defect diagnostics of roller bearing using instantaneous frequency normalization under fluctuant rotating speed

We investigated the feasibility of utilizing the normalized characteristic frequencies for diagnosing the defective roller bearings in case of fluctuant rotating speeds. The time-frequency distributions of the envelope signals of the vibration data were constructed through the Empirical mode decomposition (EMD) as well as the instantaneous frequency calculation. The bearing defect-related frequencies were then normalized with respect to the instantaneous rotation frequency of the shaft so that the factor of the rotating speed fluctuation was removed; thus the characteristic frequencies of bearing malfunctions could be observed in terms of constant values. The magnitude distributions of the marginal envelope spectra at the corresponding normalized bearing defect-related frequencies were extracted as the feature vectors. The Support vector machine (SVM) was used to classify the extracted feature vectors of different bearing fault classes. A test rig of roller bearing system was performed to illustrate the different bearing faults, including different levels of inner race defect, outer race defect and roller defect. The analysis results demonstrate the capability and effectiveness of the proposed approach for accurately identifying the bearing defects in case of fluctuant rotating speed.     

基于EMD和多特征组合的液压信号辨识方法

液压信号具有非平稳性、非线性、特征信息相近时难以正确辨识的特点 。针对该特点提出了一种经验模态分解（EMD）和多特征组合的信号辨识方法。该方法将信号自适应分解为若干个固有模态函数（IMF）;提取各IMF分量的能量、裕度、峰度、波动系数等特征参数,规范化后组合形成全局特征向量,并输入支持向量机（SVM）中学习和辨识。通过对液压主管压力信号处理表明：该方法能有效辨识特征信息相近的压力信号,在小样本下仍然具有较好的辨识率。     

POVMD与包络阶次谱的变工况滚动轴承故障诊断

针对变转速滚动轴承故障特征提取较难的问题,提出一种基于参数优化变分模态分解(parameter optimized variational mode decomposition,简称POVMD)与包络阶次谱的变工况滚动轴承故障诊断方法。首先,采用POVMD对变转速滚动轴承振动信号进行分解,得到若干个本征模态函数之和;其次,对各个分量的时域信号进行角域重采样,将时变信号转化为平稳信号处理,再利用Hilbert变换估计重采样后的平稳信号的包络;最后,对得到的包络信号进行阶比分析,从谱图中读取故障特征信息。将POVMD方法与经验模态分解进行了对比,仿真信号分析结果表明了POVMD方法的优越性。将提出的变转速滚动轴承故障诊断方法应用于试验数据分析,分析结果表明,所提出的方法能够实现变转速滚动轴承的故障诊断,而且诊断效果优于现有方法。     

运用BF-HHT的转子径向碰摩故障特征提取方法

针对现有希尔伯特-黄变换(HHT)方法在进行特征提取时,估算部分多频固有模式函数(IMF)瞬时频率不准确的问题,提出了一种基于带通滤波的希尔伯特-黄变换算法(BF-HHT)。该算法首先确定信号主要能量所在频率;然后以这组主要能量所在频率为中心频率设计一组带通滤波器,对原信号进行滤波;最后用HHT方法提取信号的时频特征。转子试验台和实际机组的径向碰摩故障信号的试验与分析结果表明,BF-HHT算法不仅能准确提取到转子径向碰摩故障信号中出现的频率成分,而且能对故障特征频率出现或消失的时刻精确定位,其特征提取效果明显优于HHT方法。     

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.     

基于改进EMD和谱峭度法滚动轴承故障特征提取

针对滚动轴承故障信号的强背景噪声特点,提出一种基于改进经验模态分解(empirical mode decomposition,简称EMD)与谱峭度法的滚动轴承故障特征提取方法.首先,利用EMD方法对原故障信号进行分解,得到若干平稳固有模态分量(intrinsic mode function,简称IMF);然后,采用灰色关联度与互信息相结合方法剔除传统EMD分解结果中存在的虚假分量;最后,运用谱峭度法和包络解调方法对真实IMF分量进行分析,提取故障特征频率.通过对实际滚动轴承故障信号的应用表明,该方法可有效地提取滚动轴承故障特征,且能够取得比传统包络解调分析更好的效果.     

随机共振降噪下的齿轮微弱故障特征提取

针对强背景噪声下的齿轮微弱故障特征提取问题,提出了一种将级联单稳随机共振与经验模式分解(EMD)-Teager能量算子解调方法相结合的特征提取方法。首先对含噪故障信号进行随机共振输出,降噪后再进行经验模式分解,分解得到具有不同特征时间尺度的固有模态函数(IMFs),最后通过Teager能量算子解调方法求取每个有效IMF分量的幅频信息,从而提取齿轮微弱故障特征。仿真分析和实际测试结果均表明,通过随机共振降噪后,该方法能有效检测出齿轮局部损伤故障特征频率。     

综合改进奇异谱分解和奇异值分解的齿轮故障特征提取方法

针对齿轮故障特征微弱,在强背景噪声下难以有效提取的问题,提出了一种改进奇异谱分解（ISSD）结合奇异值分解（SVD）的齿轮故障特征提取方法。针对奇异谱分解（SSD）算法中模态参数需凭经验选取的缺陷,基于散布熵优化算法对SSD算法进行了改进,在得到既定的一组奇异谱分量的基础上,根据峭度值最大准则筛选出了最佳奇异谱分量并进行了SVD处理,采用奇异值能量标准谱自适应地确定了信号重构阶数以还原信号和提高降噪效果。最后对信号进行包络解调以提取齿轮故障特征,将所提方法运用到仿真信号和齿轮实测信号中,并同传统包络谱、SSD包络谱以及经验模态分解结合SVD(EMD-SVD)方法进行了对比分析,结果表明,所提方法的降噪和特征提取效果更佳,能够更加有效地实现齿轮故障的判别。     

Application of EEMD and improved frequency band entropy in bearing fault feature extraction

Ensemble empirical mode decomposition (EEMD) is widely used in condition monitoring of modern machine for its unique advantages. However, when the signal-to-noise ratio is low, the de-noising function of it is often not ideal. Thus, a new fault feature extraction method for rolling bearing combining EEMD and improved frequency band entropy (IFBE) is proposed, i.e., EEMD–IFBE. According to the problem of multiple intrinsic mode functions (IMFs) generated by EEMD, how to select the sensitive IMF(s) that can better reflect fault characteristics, a novel method based on FBE for sensitive IMF is proposed. In addition, since the bandwidth parameter is set empirically when the band-pass filter is designed based on the original FBE, a novel bandwidth parameter optimization method based on the principle of maximum envelope kurtosis is proposed. First, the original vibration signal is subjected to EEMD to obtain a series of IMFs; Then, the FBE values are obtained for the original signal and each IMF component, and the bandwidth of the band-pass filter (empirically) is designed as the characteristic frequency band at the minimum entropy value, and the affiliation between the characteristic frequency band of each IMF and the characteristic frequency band of the original signal is compared, and then selecting the sensitive IMF(s) that reflects the characteristics of the fault; Third, due to the influence of background noise, it is difficult to accurately obtain the fault frequency from the selected IMF(s). Therefore, the band-pass filter designed based on FBE is used, and the bandwidth parameter is optimized based on the principle of envelope kurtosis maximum, and then the selected sensitive IMF is band-pass filtered. Finally, the envelope power spectrum analysis is performed on the filtered signal to extract the fault characteristic frequency, and then the fault diagnosis of the bearing is realized. The method is successfully applied to simulated data and actual data of rolling bearing, which can accurately diagnose fault characteristics of bearing and prove the effectiveness and advantages of the method.     

EEMD和TFPF联合降噪法在齿轮故障诊断中的应用

为了消除噪声对齿轮传动系统故障特征提取的影响,提出了一种基于集成经验模态分解(ensemble empirical mode decomposition,简称EEMD)和时频峰值滤波(time-frequency peak filtering,简称TFPF)相结合的降噪方法。针对TFPF算法在窗长的选择方面受到限制的问题,采用了EEMD方法对其进行改进,使得信号在噪声压制和有效信号保真两方面得到权衡;含噪声的信号经过EEMD分解后,得到一系列频率成分从高到低的本征模态函数(intrinsic mode functions,简称IMFs),计算出各IMFs间的相关系数,判断需要滤波的IMFs。对不同的IMFs选择不同的窗长进行TFPF滤波,把过滤后的IMFs和剩余的IMFs重构得到最终的降噪信号。用模拟仿真信号和齿轮齿根故障信号对该方法进行验证,可见EEMD+TFPF能有效地去除噪声,成功提取齿根裂纹故障特征。     

基于频谱分析和卷积神经网络的高速轴向柱塞泵空化故障诊断

针对高速轴向柱塞泵不同空化故障等级诊断依赖人工特征提取、识别准确率低的问题,提出了一种融合振动信号频谱分析和卷积神经网络的诊断方法。采集不同空化等级情况下柱塞泵壳体振动信号,对连续的振动数据进行切片并作频谱分析,获得频谱图作为数据集;利用二维卷积神经网络对不同空化等级的信号频谱图进行分类。为提高所提方法的鲁棒性,采用带通滤波的方法抑制频谱图中的噪声频率。试验结果表明:对于不同信噪比的振动信号输入,均能准确地识别出柱塞泵的空化故障等级。     

Weak fault feature extraction of rolling bearing based on cyclic Wiener filter and envelope spectrum

In vibration analysis, weak fault feature extraction under strong background noise is of great importance. A method based on cyclic Wiener filter and envelope spectrum analysis is proposed. Cyclic Wiener filter exploits the spectral coherence theory induced by the second-order cyclostationary signal. The original signal is duplicated and shifted in the frequency domain by amounts corresponding to the cyclic frequencies. The noise component is optimally filtered by a filter-bank. The filtered signal is analyzed by performing envelope spectrum. In the envelope spectrum, characteristic frequencies are quite clear. Then the most impactive part is effectively extracted for further fault diagnosis. The effectiveness of the method is demonstrated on both simulated signal and actual data from rolling bearing accelerated life test.     

基于经验模态分解的滚动轴承故障诊断方法

提出了一种基于经验模态分解的滚动轴承故障诊断方法，并定义了能量熵的概念。从不同状态的滚动轴承振动信号的能量熵值中发现，当滚动轴承发生故障时，各频带的能量会发生变化。为了进一步对滚动轴承的状态和故障类型进行分类，再从若干个包含主要故障信息的IMF分量中提取能量特征参数作为神经网络的输入参数来识别滚动轴承的故障类型。对滚动轴承的正常状态、内圈故障和外圈故障振动信号的分析结果表明，以经验模态分解为预处理器提取各频带能量作为特征参数的神经网络诊断方法比以小波包分析为预处理器的神经网络诊断方法有更高的故障识别率，可以准确、有效地识别滚动轴承的工作状态和故障类别。     

基于LMD包络谱熵及SVM的天然气管道微小泄漏孔径识别

针对管道泄漏信号的非平稳特征以及管道泄漏孔径大小难以识别的问题,提出一种基于局域均值分解包络谱熵及支持向量机的识别方法。该方法对管道泄漏信号进行局域均值分解,得到若干个瞬时频率具有物理意义的乘积函数(production Function, PF)分量;计算各PF分量的峭度值并据此选出包含主要泄漏信息的分量作为主PF分量,对这些分量进一步采用小波包分解能量法进行分析并重构;再对重构后的主PF分量进行希尔伯特变换求取包络谱,结合信息熵的概念提出包络谱熵并计算熵值;将归一化包络谱熵作为泄漏信号特征输入支持向量机分类器中,用以区分不同的泄漏孔径,完成对泄漏孔径的识别。通过试验采集大量的管道泄漏信号进行处理及分析,试验结果表明该方法能有效识别不同泄漏孔径类别。