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Advanced Fault Detection in Spur Gear Transmission Systems Using Vibration Analysis and Definite Integral-Based Damage Assessment
Tauqir Muhammad Tauqir Muhammada, Shinn- Liang Chang Shinn- Liang Changb and Jen-Yuan Chang Jen-Yuan Changc
aPh.D. student, Department of Power Mechanical Engineering, National Formosa University, Yunlin, Taiwan 632301, ROC.
bProfessor, Department of Power Mechanical Engineering, National Formosa University, Yunlin, Taiwan 632301, ROC.
cProfessor, Department of Mechanical and Computer-Aided Engineering, National Formosa University, Yunlin, Taiwan 632301, ROC, Taiwan 632301, ROC.
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Abstract:
This study focuses on the vibrational characteristics and fault detection in spur gear transmission systems, introducing a novel mathematical approach for damage identification. The method, based on definite integrals, calculates the area under the curve (AUC) of vibration signals for accurate detection gear damage. By comparing AUCs for normal, 2mm tooth-cut, fully tooth-cut gears, and cracked gears, the technique consistently identifies structural damage. Finite element analysis and acoustic isolation were employed to mitigate external disturbances and study system behavior. Fast-Fourier Transformation (FFT) and Frequency Response Function (FRF) techniques were also used to capture resonance frequencies. The findings confirm the method's reliability in detecting gear faults, offering a robust solution for optimizing rotating machinery performance.
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Keywords: Fault detection, Frequency response function (FRF), Fast-Fourier transformation (FFT), Tooth-cut gear, Crack detection, Vibration.
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©
2026
CSME , ISSN 0257-9731
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