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Vibration signals show effects of coupled cracks in gear systems

By Shi H et al.·2026·College of Mechanical and Electrical Engineering, China·View original on Europe PMC

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Original publication title: Vibration Response Signal Analysis of Gear Transmission System Considering the Influence of Coupled Crack Fault.

Plain-English summary

This study looks at how cracks in gear systems can affect their performance, especially when multiple cracks happen at the same time. Researchers created a model to simulate how these cracks impact the gears' ability to mesh properly, which is important for preventing serious mechanical failures. They found that when cracks are coupled, the gears experience more significant vibrations compared to when there is just one crack, and this can lead to noticeable changes in how the gears operate. The findings suggest that understanding these coupled cracks can help in diagnosing issues in gear systems more accurately. Overall, the research shows that the model used is effective in predicting the behavior of gear systems with multiple cracks.

Abstract

Accurate fault diagnosis of gear transmission systems is crucial for ensuring mechanical reliability and preventing catastrophic failures. However, existing research predominantly focuses on single-gear crack faults, often overlooking the complex coupling effects when cracks occur simultaneously on meshing gears in practical engineering scenarios. To address this research gap, a multi-degree-of-freedom dynamic model incorporating time-varying mesh stiffness under normal, single-crack, and coupled-crack conditions is established. Experimental validation is conducted based on an FZG closed test rig for power flow. The results indicate that the mesh stiffness under coupled-crack conditions is generally lower than that under single-crack conditions. In the time-domain vibration response, the periodic impact amplitudes induced by coupled cracks are significantly amplified, with the impact period jointly influenced by the rotational speeds of both the driving and driven gears. According to frequency-domain analysis, coupled cracks result in a notable increase in harmonic peaks of the mesh frequency, enhanced sideband amplitudes, and a modulation period that is between the rotational frequencies of the driving and driven gears. The simulation results from the dynamic model show high consistency with the experimental signals in terms of time-frequency characteristic trends and time-domain indicators such as the crest factor, thereby validating the effectiveness of the dynamic model. This study elucidates the unique influence mechanism of coupled cracks on the dynamic behavior of gear systems and can provide theoretical guidance for the accurate diagnosis and condition assessment of multi-tooth faults in subsequent research.

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Original publication on Europe PMC: https://europepmc.org/article/MED/41829574