Timely detection of fatigue cracks is necessary to avoid catastrophic failure of rotating machines which can lead to economical losses and accidental risk. This paper presents an exhaustive literature survey on theoretical and experimental vibration analysis of the rotating shaft in the presence of crack. Various non-destructive methods adopted by several researchers for crack detection in rotating machinery have been discussed. The vibration-based crack detection methods such as vibration-based diagnostics methods and vibration-based signal processing techniques have been broadly categorized along with their advantages and disadvantages. In general, various methodologies such as breathing mechanism, finite-element method, Hilbert–Huang transform, artificial intelligence techniques, wavelet transform and wavelet finite-element transform have been applied to investigate the presence of crack in the rotating shaft. The parameters such as natural frequencies, \(1{\times }\), \(2{\times }\) and \(3{\times }\) harmonic components of dynamic response, critical speeds and whirl orbits have been significantly influenced due to the presence of crack in the rotating shaft. Several studies have been carried out to study variations in these parameters. Still, there is a need of more reliable and accurate modelling approach to detect variations in these parameters. In this paper, an attempt has been made to deliver all the modelling approaches implemented by the various researchers to detect crack within the rotating shaft. The modelling approaches are categorized based on the methodologies adopted by the various researchers to detect crack. Moreover, the critical observations made from the proposed modelling approaches are summarized and presented.

中文翻译：

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裂纹转子的建模与分析：文献综述及其意义

必须及时检测疲劳裂纹，以避免旋转机械发生灾难性故障，这可能导致经济损失和意外风险。本文对存在裂纹的旋转轴的理论和实验振动分析进行了详尽的文献综述。讨论了几种研究人员为检测旋转机械中的裂纹而采用的各种非破坏性方法。基于振动的裂缝检测方法（例如基于振动的诊断方法和基于振动的信号处理技术）已被广泛分类，包括其优点和缺点。一般而言，各种方法都可以使用，例如呼吸机制，有限元方法，希尔伯特-黄变换，人工智能技术，小波变换和小波有限元变换已被用于研究旋转轴中裂纹的存在。诸如自然频率，\（1 {\ times} \），\（2 {\ times} \）和\（3 {\ times} \）由于旋转轴中存在裂纹，因此动态响应，临界速度和涡旋轨道的谐波分量已受到显着影响。已经进行了一些研究来研究这些参数的变化。仍然需要更可靠和准确的建模方法来检测这些参数的变化。在本文中，已尝试提供各种研究人员实施的所有建模方法，以检测旋转轴中的裂纹。建模方法根据各种研究人员采用的检测裂纹的方法进行分类。此外，总结并介绍了从提出的建模方法中得出的关键观察结果。