Model-Based Diagnosis of an Eccentricity Fault in a Dynamic Gear System

Model-Based Diagnosis of an Eccentricity Fault in a Dynamic Gear System
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© 2025 by IJETT Journal
Volume-73 Issue-6
Year of Publication : 2025
Author : Yakeu Happi Kemajou Herbert, Tchomeni Kouejou Bernard Xavier, Alfayo Anyika Alugongo
DOI : 10.14445/22315381/IJETT-V73I6P141

How to Cite?
Yakeu Happi Kemajou Herbert, Tchomeni Kouejou Bernard Xavier, Alfayo Anyika Alugongo, "Model-Based Diagnosis of an Eccentricity Fault in a Dynamic Gear System," International Journal of Engineering Trends and Technology, vol. 73, no. 6, pp.496-507, 2025. Crossref, https://doi.org/10.14445/22315381/IJETT-V73I6P141

Abstract
This paper employs a nine-degree-of-freedom dynamic model, considering torsional and lateral motions, to analyse the dynamic characteristics of a two-stage spur gear system. The model incorporates gear eccentricity faults and dynamic transmission errors by establishing a mesh stiffness model. The differential vibration equations for the spur gear system are derived using the Lagrangian method. Numerical simulations are conducted using a combination of the Short-Term Fourier Transform (STFT), 3D Waterfall FFT (Fast Fourier Transform), and RPM-frequency mapping technique under various operating scenarios. Analysing the responses imposed by the system under both regular and chaotic vibrations reveals that gear eccentricity faults significantly impact the system's performance. The frequency content changes over time and 3D plots provide a more detailed frequency-RPM representation, allowing the detection of transient faults in gears compared to the time domain and frequency domain. Theoretical analysis confirms the effectiveness of the STFT and 3D Waterfall FFT-based frequency-RPM transmission error detection approach.

Keywords
Eccentricity Fault, Gear Mesh Stiffness, RPM-Frequency map – STFT, 3D Waterfall FFT, Transmission Error, Two-Stage Spur Gear System.

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