VMD的AR模型和关联维数在齿轮故障特征提取中的应用

针对齿轮故障信号的非线性及常伴有大量噪声干扰的问题,提出一种基于变分模态分解(VMD)的自回归(AR)模型和关联维数相结合的故障特征提取方法。该方法采用VMD将齿轮振动信号分解为一系列固有模态函数(IMF),通过频域互相关系数准则选取对信号特征敏感的IMF分量进行信号重构,对重构信号建立AR模型,并以AR模型自回归参数的关联维数作为特征量对齿轮的工作状态和故障类型进行识别。通过实测齿轮振动信号的分析,证明了所提方法的有效性。     

基于VMD的Volterra模型奇异值熵的转子故障诊断方法

针对转子故障信号的非平稳性以及敏感故障特征无法有效提取的问题,将变分模态分解(variational mode decomposition,VMD)的Volterra模型和奇异值熵相结合,提出一种故障诊断方法。对影响VMD分解准确性的参数选取方法进行了深入研究,给出了相关问题的解决策略。首先,对不同工况下转子实测信号进行VMD分解,利用能量熵增量选取对故障特征敏感的固有模态函数(intrinsic mode function,IMF)进行相空间重构,以建立Volterra自适应预测模型,将模型参数作为初始特征向量矩阵。然后,对初始特征向量进行奇异值分解以获取奇异值熵和奇异值特征向量矩阵,用于描述转子的故障特征。最后,采用模糊C均值(fuzzy c-means,FCM)算法对转子工作状态和故障类型进行识别。试验结果表明,所提方法可有效实现转子故障的特征提取及类型识别。通过同经集合经验模态分解(ensemble empirical mode decomposition,EEMD)相比,证明了该方法具有更有效的故障特征提取性能,是一种可行的方法。     

基于MCKD和改进HHT多尺度模糊熵的齿轮故障诊断方法

针对齿轮故障信号常伴有大量噪声,故障特征难以提取的问题,提出一种基于最大相关峭度解卷积(MCKD)和改进希尔伯特-黄变换(HHT)多尺度模糊熵的故障诊断方法。首先采用MCKD算法对采集到的齿轮振动信号进行降噪处理,以提高信号的信噪比;然后利用自适应白噪声完备经验模态分解(CEEMDAN)对降噪后信号进行分解,获得一系列不同尺度的固有模态函数(IMF),并通过相关系数-能量的虚假IMF评价方法选取对故障敏感的模态分量;最后计算敏感IMF分量的模糊熵,将获得的原信号多尺度的模糊熵作为状态特征参数输入最小二乘支持向量机(LS-SVM)中,对齿轮的故障类型进行诊断。实测信号的诊断结果表明,该方法可实现齿轮故障的有效诊断。     

基于电信号的改进VMD和DBN-DNN液压齿轮泵轮齿故障监测方法研究

液压系统电机电信号中包含丰富的系统运行状态信息,如何准确对电信号中的运行信息进行提取和分类是实现液压系统状态监测的关键。电机电流信号中蕴含的液压齿轮泵早期故障特征微弱,提取困难,用传统时频分析方法难以实现故障特征分离。本文提出基于相关系数和人工蜂群算法(Artificial bee colony,ABC)实现了对变分模态分解(Variational mode decomposition,VMD)参数的优化,同时以信号相关系数和峭度值最大为选取原则,确定有效的本征模态函数(Intrinsic mode function,IMF),并将IMF有效分量的排列熵和均方根值作为高维特征向量输入深度信念网络(Deep belief network,DBN-DNN),实现了对齿轮泵运行状态进行监测。结果表明,该方法能准确稳定地提取电流信号中携带的齿轮泵故障的微弱特征,进行齿轮泵运行状态监测,提高了齿轮故障诊断的准确性。     

基于电机电流经验模态分解的行星轮故障诊断

在故障诊断领域,电机电流信号分析法(MCSA)已经逐渐应用于齿轮故障诊断中,但该方法在诊断行星轮缺齿故障时由于电流基频干扰较大,导致故障特征不明显,难以实现故障诊断。因此提出一种基于电流信号经验模态分解(EMD)的故障诊断方法。通过对电机电流信号进行EMD分解,选取合适的IMF分量经傅立叶变换求其频谱图,根据频谱图中是否存在与故障特征频率相关的频率,实现了对行星轮缺齿故障的有效诊断。并通过实验分析,验证了该方法的有效性。     

变分模态分解在转子故障诊断中的应用

针对转子故障诊断问题,提出一种基于变分模态分解(variational mode decomposition,简称VMD)的信号处理方法。该方法在获取分解分量的过程中通过迭代搜寻变分模型最优解来确定每个分量的频率中心及带宽,从而能够自适应地实现信号的频域剖分及各分量的有效分离,对各单分量信号进行希尔伯特变换,即可得到瞬时的频率和幅值信息。对仿真信号和典型转子故障信号进行VMD方法和经验模态分解(empirical mode decomposition,简称EMD)方法的分析比较,以验证所提方法的有效性。仿真信号的分解结果表明,变分模态能够准确分离出信号中的固有模态分量且不存在模态混叠;转子故障实验信号的分析结果表明,所提方法能够有效提取出明显的故障特征,从而准确诊断出转子存在的故障。     

运用EMD和GA SVM的齿轮故障特征提取与选择

针对齿轮故障特征提取,首先将齿轮箱振动信号进行经验模态分解,得到一组固有模态函数.计算各固有模态函数的能量和矩阵的奇异值,采用Shannon熵和Renyi熵度量能量和奇异值分布,构成原始特征子集.再采用遗传算法和最小二乘支持向量机的Wrapper方法选择最优特征子集.该方法能够利用较少的特征参数集准确判别齿轮故障,提高了齿轮故障诊断的精度与效率.     

Early fault feature extraction of bearings based on Teager energy operator and optimal VMD

As the fault shock component in vibration signals is extremely sparse and weak, it is difficult to extract the fault features when large-scale, low-speed and heavy-duty mechanical equipment is in the early stage of failure. To solve this problem, an early fault feature extraction method based on the Teager energy operator, combined with optimal variational mode decomposition (VMD) is presented in this study. First, the Teager energy operator was used to strengthen the weak shock component of the original signal. Next, a logistic–sine complex chaotic mapping with variable dimensions was constructed to enhance the global search ability and convergence speed of the pigeon-inspired optimization (PIO) algorithm, which is named the variable dimension chaotic pigeon-inspired optimization (VDCPIO) algorithm. Then, the VDCPIO algorithm is used to search for the optimal combination value of key parameters of VMD. The enhanced vibration signal is decomposed into a set of intrinsic mode functions (IMFs) by the optimized VMD, and then kurtosis for every IMF and mean kurtosis of all IMFs are extracted. According to the average kurtosis, several IMFs, whose kurtosis value is greater than the average kurtosis value, are selected to reconstruct a new signal. Then, envelope spectrum analysis of the reconstructed signal is carried out to extract the early fault features. Finally, experimental verification of the method was performed using the simulated signal and measured signal from a rolling bearing; the experimental results indicate that the method presented in this paper is more effective to extract the early fault features of this kind of mechanical equipment.     

Health condition identification of planetary gearboxes based on variational mode decomposition and generalized composite multi-scale symbolic dynamic entropy

This paper proposes a novel fault diagnosis method based on variational mode decomposition (VMD) and generalized composite multi-scale symbol dynamic entropy (GCMSDE) to identify the different health conditions of planetary gearboxes. First, VMD is adopted to remove the noises and highlight the fault symptoms. Second, GCMSDE is utilized to extract the fault features from the denoised vibration signals. Third, the Laplacian score (LS) approach is employed to refine the fault features. Finally, the new features are fed into Softmax regression to identify the health conditions of planetary gearboxes. The proposed method is numerically and experimentally demonstrated to be able to differentiate seven localized fault types on the sun gear, planet gear and ring gear of planetary gearboxes.     

EEMD与HMM在齿轮故障诊断方法中的研究

为了解决EMD方法存在的模态混叠的问题,更加精确有效的利用振动信号进行齿轮的故障识别和诊断,提出一种将总体平均经验模态分解(EEMD)和隐马尔科夫模型(HMM)结合的齿轮故障诊断方法。首先对采集到的原始齿轮振动信号进行EEMD处理,获得包含主要故障信息的各阶固有模态函数(IMF)分量,以能量为元素,提取并构造特征向量,对特征向量进行HMM模型训练和诊断测试,来识别齿轮的工作状态和故障类型,实验结果表明,该方法可以有效提高齿轮的故障诊断准确率和精度。     

改进小波去噪Teager算子的齿轮微弱故障提取方法

针对齿轮箱在强噪声背景下齿轮微弱故障振动信号的特征不易被提取的问题,提出将改进小波去噪和Teager能量算子相结合的微弱故障特征提取方法。采用改进小波阈值函数对振动信号进行去噪处理,与形态学滤波和传统小波阈值函数相比能够有效地提高信号的信噪比。对去噪后的信号进行集合经验模态分解(ensemble empirical mode decomposition,简称EEMD)得到若干本征模式函数(intrinsic mode function,简称IMF),计算各IMF分量与原信号的相关系数并结合各IMF分量的频谱剔除虚假分量。对有效的IMF分量计算其Teager能量算子,并重构得到Teager能量谱,对重构信号进行时频分析并将其结果与原信号的希尔伯特黄变换(HilbertHuang transform,简称HHT)得到的边际谱进行对比。实验研究结果表明,本研究方法相比HHT能够对齿轮微弱故障特征进行更为有效地提取,验证了本研究方法在齿轮箱微弱故障诊断中的可行性。     

基于最优 IMF 分量和 K-SVD 的滚动轴承故障声音信号特征提取

针对滚动轴承声音信号中周期性冲击故障特征难提取的问题,提出了基于最优 IMF 分量与 K-SVD 字典学习相结合的轴承故障特征提取方法。首先,利用 VMD 分解原始信号获得一系列 IMF 分量;其次,利用 SAF 指标自适应选取最优 IMF 分量,并作为训练信号;最后,利用 K-SVD 字典学习方法训练出字典库,通过正交匹配追踪算法( OMP )对原始信号处理得到稀疏信号,并对稀疏信号进行包络谱分析。仿真及实验结果表明,对比传统 K-SVD 字典学习方法,该方法得到的稀疏信号信噪比( SNR )更高,能更准确地提取滚动轴承周期性冲击,增强了轴承故障特征。     

基于LCD的自适应小波脊线解调及齿轮故障诊断

针对最佳小波参数的设定和齿轮裂纹故障振动信号频率成分复杂、信噪比低等问题,将遗传优化算法、小波脊线解调与局部特征尺度分解(local characteristic-scale decomposition,简称LCD)相结合,提出了基于LCD的自适应小波脊线解调方法。首先,采用LCD方法将原始信号分解为若干个内禀尺度分量(intrinsic scale component,简称ISC),并通过选择蕴含特征信息的ISC来实现信号降噪;然后,以小波能量熵为目标函数,采用遗传算法优化小波参数,得到自适应小波;最后,通过自适应小波分析提取ISC的小波脊线,从而实现对原始信号的解调分析。通过齿轮裂纹故障诊断实例验证了该方法的有效性和优越性。     

基于变分模态分解和PSO-SVM的起重机齿轮箱故障诊断

起重机齿轮箱的振动信号具有信噪比低、非线性的特点,需要一定的专业知识和经验才能实现故障诊断。为了实现起重机齿轮箱的智能故障诊断,提出了一种基于变分模态分解(Variation?al modal decomposition,VMD)改进小波降噪和粒子群算法(Particle swarm optimization,PSO)优化支持向量机(Support vector machine,SVM)的智能故障诊断方法。首先,利用VMD将振动信号分解,得到不同尺度的本征模态函数(Intrinsic mode function,IMF),将分解的高频分量进行改进小波降噪后和低频分量完成信号重构;然后,提取重构信号的特征参数构建特征向量,使用核主分量分析(Ker?nel principal component analysis,KPCA)对向量降维处理实现特征信息融合;最后,利用PSO优化后的SVM进行故障识别分类。实验验证表明,基于VMD改进小波信号预处理和PSO算法优化SVM的模型具有很高的识别准确率,能够有效、准确地对起重机齿轮箱的故障类型进行识别和分类。     

基于多元经验模态分解的旋转机械早期故障诊断方法*

针对旋转机械早期微弱故障诊断问题,提出了基于多元经验模态分解的旋转机械早期故障诊断新方法。首先将多个加速度传感器合理布置在轴承座的关键位置,同步采集多通道振动信息;再利用多元经验模态分解同时对多通道振动信号进行自适应分解,得到一系列多元IMF分量;最后,依据峭度准则和相关系数从中选取包含故障主要信息的IMF分量进行信号重构,提取故障特征。多元经验模态分解方法克服了EMD等方法在进行多通道数据融合时缺乏理论依据的局限性。仿真信号和旋转机械故障信号的实验结果表明,该方法明显优于EEMD方法,对齿轮和滚动轴承故障的检测精度更高,可以在强背景噪声情况下更好地提取出故障冲击特征。     

VMD能量熵与随机森林相结合的齿轮故障诊断

针对齿轮故障的非线性、非稳定性特点和单个分类器在故障诊断中准确率低的问题,提出了一种基于变分模态分解(VMD)和随机森林(RF)的齿轮故障识别方法。首先,采用变分模态分解将振动信号分解成有限个本征模态函数(IMFs),并与总体平均经验模态分解对比其分解效果;其次,计算各模态函数的能量熵,将能量熵作为评判齿轮状态的标准,构建特征向量;最后,将特征向量输入随机森林进行故障分类。结果表明,与支持向量机(SVM)识别方法对比,该方法具有较强的学习能力以及较高的诊断精度。     

基于信号共振稀疏分解与包络谱的齿轮故障诊断

当齿轮出现断齿、裂纹等局部故障时,其振动信号会出现周期性冲击脉冲。在齿轮故障早期,由于冲击脉冲微弱,常淹没在齿轮的啮合频率、转频等谐波成分以及噪声中,因此,对于齿轮早期故障,直接对齿轮振动信号做包络谱分析以诊断齿轮局部故障通常效果不佳。针对这一问题,将信号共振稀疏分解方法与包络谱分析相结合,提出了基于信号共振稀疏分解与包络谱的齿轮故障诊断方法。该方法采用信号共振稀疏分解将冲击脉冲从齿轮振动信号中分离出来,然后对冲击脉冲做Hilbert包络分析,获取冲击脉冲出现的周期,进而对齿轮状态和故障进行识别。仿真算例和应用实例证明了该方法的有效性。     

Incipient fault detection of rolling bearing using maximum autocorrelation impulse harmonic to noise deconvolution and parameter optimized fast EEMD

Incipient Fault Detection of Rolling Bearing with heavy background noise and interference harmonics is a hot topic. In this paper, a new method based on parameter optimized fast EEMD (FEEMD) and Maximum Autocorrelation Impulse Harmonic to Noise Deconvolution (MAIHND) method is proposed for detecting the incipient fault of rolling bearing. Firstly, the FEEMD method with parameters optimization is used to reduce the noise and eliminate the interference harmonics of the fault signal. As a noise assistant improved method, the FEEMD can reduce the mode mixing and enhance the calculation efficiency significantly. Secondly, a new indicator is developed to select the sensitive IMF. Finally, a novel MAIHND method is employed to extract impulse fault feature from the sensitive IMF. Simulation and experiments results indicated that the proposed parameter optimized FEEMD–MAIHND method can effectively identify the weak impulse fault feature of rolling bearing. Moreover, the excellent performance of the proposed indicator for sensitive IMF component selection and MAIHND method is verified.     

Incipient fault feature extraction of rolling bearings based on the MVMD and Teager energy operator

Aiming at the problems that the incipient fault of rolling bearings is difficult to recognize and the number of intrinsic mode functions (IMFs) decomposed by variational mode decomposition (VMD) must be set in advance and can not be adaptively selected, taking full advantages of the adaptive segmentation of scale spectrum and Teager energy operator (TEO) demodulation, a new method for early fault feature extraction of rolling bearings based on the modified VMD and Teager energy operator (MVMD-TEO) is proposed. Firstly, the vibration signal of rolling bearings is analyzed by adaptive scale space spectrum segmentation to obtain the spectrum segmentation support boundary, and then the number K of IMFs decomposed by VMD is adaptively determined. Secondly, the original vibration signal is adaptively decomposed into K IMFs, and the effective IMF components are extracted based on the correlation coefficient criterion. Finally, the Teager energy spectrum of the reconstructed signal of the effective IMF components is calculated by the TEO, and then the early fault features of rolling bearings are extracted to realize the fault identification and location. Comparative experiments of the proposed method and the existing fault feature extraction method based on Local Mean Decomposition and Teager energy operator (LMD-TEO) have been implemented using experimental data-sets and a measured data-set. The results of comparative experiments in three application cases show that the presented method can achieve a fairly or slightly better performance than LMD-TEO method, and the validity and feasibility of the proposed method are proved.     

A method for the compound fault diagnosis of gearboxes based on morphological component analysis

An improved morphological component analysis (MCA) method is proposed for the compound fault diagnosis of gearboxes. When gear fault and bearing fault occur simultaneously, the compound fault signal of the gearbox contains meshing components (related to the gear fault) and periodic impulse components (related to the bearing fault). The corresponding fault characteristics can be separated by MCA according to the morphological differences of the components. In the proposed method, the optimal dictionary, which can represent the characteristics of bearing faults, is first selected based on the principle of minimum information entropy. Then, the compound fault signal is decomposed into the meshing component and the periodic impulse component using MCA. Finally, the separated components are subjected to the Hilbert envelope spectrum analysis. The faults of the gear and the bearing can be diagnosed according to the envelope spectra of the separated fault signal components. Simulation and experimental studies validate the effectiveness of the proposed method for the compound fault diagnosis of gearboxes.