Experimental Investigation on the Use of Vibration Signals Combined With Supervised Classification to Predict Radial Load Condition in Roller Element Bearings

I. Abu-Mahfouz, A. Banerjee, Esfakur Rahman
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Abstract

In this work, vibration response of a rolling element bearing under the influence of static radial loading is investigated. Radial loading results in a periodically varying stiffness (or compliance) which causes a cyclic dynamic response of the bearing assembly even under perfect balancing and other operating load conditions. These loads cause high stresses to develop in bearing elements and may cause fatigue, cracks, and spalls that limits the life of these components. A special bearing test rig was designed and manufactured to apply varying levels of radial load and measure the vibration response of the loaded roller bearing. The test is focused on new bearings free from any faults or defects. The radial load is varied in steps and the vibration signal is collected and analyzed at each level for different rotor speeds. The spectral components are analyzed using Fast Fourier Transform (FFT) and time-frequency wavelet transform. Statistical techniques are applied to both the vibration signature obtained using a piezoelectric accelerometer sensor and the wavelet decomposed approximations and details of the original vibration signals. The statistical measures, wavelet approximation and details are first processed for feature set reduction since many of the features are highly correlated. This is done using three feature reduction and subset selection methods — ReliefF, Recursive Feature Extraction (RFE) and Multi-Cluster Feature Selection (MCFS). These features and the original extracted features are used as features to train two classifiers. The classification is used to estimate high and low thresholds for both radial load and running speed. The classifiers used are (1) radial-basis function support vector machine (RBF-SVM), and (2) k-nearest neighbor (kNN). Performance of machine learning algorithms depends on the training data and physical collected datasets are often limited to specific operating conditions, necessitating the use of training with many models using multi-fold cross-validated subsets. In this study we have used ten models using two-fold cross validation for training and validation. The classification results reported are average of these models. In limited experimentation, the RBF-SVM outperforms the kNN classifier and among the feature sets used, the ReliefF set seems marginally superior to the other sets. However, the accuracy, precision, and recall (combined as an F-score) of the original extracted feature set are better than the reduced feature sets; the downside being the relatively high run time in the training phase.
结合振动信号和监督分类预测滚子轴承径向载荷状态的实验研究
本文研究了静态径向载荷作用下滚动轴承的振动响应。径向载荷导致周期性变化的刚度(或顺应性),即使在完美平衡和其他工作载荷条件下,也会导致轴承组件的循环动态响应。这些载荷会在轴承元件中产生高应力,并可能导致疲劳、裂纹和脱落,从而限制这些部件的使用寿命。设计并制造了专用的轴承试验台,用于施加不同程度的径向载荷,测量加载后滚子轴承的振动响应。测试的重点是没有任何故障或缺陷的新轴承。径向载荷是分级变化的,在不同转速下,对每一级的振动信号进行采集和分析。利用快速傅里叶变换(FFT)和时频小波变换对信号的频谱成分进行分析。统计技术应用于压电加速度传感器获得的振动特征和原始振动信号的小波分解近似和细节。由于许多特征是高度相关的,因此首先对统计度量、小波近似和细节进行处理以进行特征集约简。这是通过三种特征缩减和子集选择方法来完成的——ReliefF、递归特征提取(RFE)和多聚类特征选择(MCFS)。这些特征和原始提取的特征作为特征来训练两个分类器。该分类用于估计径向负荷和运行速度的高低阈值。使用的分类器是(1)径向基函数支持向量机(RBF-SVM)和(2)k近邻(kNN)。机器学习算法的性能取决于训练数据,而物理收集的数据集通常仅限于特定的操作条件,因此需要使用使用多重交叉验证子集的许多模型进行训练。在这项研究中,我们使用了十个模型,使用双重交叉验证进行训练和验证。所报道的分类结果是这些模型的平均值。在有限的实验中,RBF-SVM优于kNN分类器,并且在所使用的特征集中,ReliefF集似乎略优于其他集。然而,原始提取的特征集的准确率、精密度和召回率(合并为f分数)优于简化后的特征集;缺点是训练阶段的运行时间相对较长。
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