A Comprehensive Assessment of Gearbox Tooth Faults Based on Dynamic Modelling and Machine Learning

Vikash Kumar, Subrata Mukherjee, Sanjeev Kumar, S. Sarangi
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Abstract

This paper presents a dynamic model-based gearbox fault diagnosis using machine learning. A single-stage spur gear using an eight-degrees-of-freedom (DOF) dynamic model is developed and investigated with four gear tooth conditions, i.e., healthy tooth, 20 % tooth crack, 40 % tooth crack, and 60 % tooth crack. In the developed model, an analytically improved time-varying mesh stiffness (IAM-TVMS) model, which considers the effects of structural coupling of loaded tooth, nonlinear Hertzian contact stiffness, precise transition curve, and misalignment between base and root circle, and an improved tooth crack model, are incorporated to get a reliable system dynamic response. To make the simulated response more realistic, different levels of negative white Gaussian noise (−2dB to −10dB SNR) are added to the simulated signal. The simulated noisy signals are then segmented, and a total of 12 statistical indicators are calculated on each segmented signal to develop the feature matrix. Four different machine learning algorithms are used to classify the faults from the extracted feature matrix, and their performances are compared and discussed. The results show that the KNN classifier outperformed them all, with a classification accuracy of 90.5 %. The finding shows that the proposed method works well in the presence of intense noise and may help in identifying the faults in the system in quick time without expending too much on experimental test setup.
基于动态建模和机器学习的齿轮箱齿故障综合评估
提出了一种基于动态模型的齿轮箱故障诊断方法。研制了一种基于八自由度动力学模型的单级直齿直齿轮,并对其健康齿、20%齿裂、40%齿裂和60%齿裂四种齿裂工况进行了研究。该模型考虑了受载齿的结构耦合、非线性赫兹接触刚度、精确过渡曲线、齿根圆不对准等因素的解析改进时变啮合刚度(iams - tvms)模型和改进的齿裂模型,得到了可靠的系统动态响应。为了使模拟的响应更加真实,在模拟信号中加入了不同级别的负高斯白噪声(信噪比为- 2dB至- 10dB)。然后对模拟噪声信号进行分割,对每个分割后的信号计算12个统计指标,得到特征矩阵。采用四种不同的机器学习算法从提取的特征矩阵中对故障进行分类,并对其性能进行了比较和讨论。结果表明,KNN分类器的分类准确率达到90.5%,优于所有分类器。结果表明,该方法在强噪声环境下也能较好地识别出系统中的故障,且不需要过多的实验测试设置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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