Investigations into the Recognisability of Gear Damage Sizes in Vibration Signals and Calculation of Appropriate Digital Filter Limits

• Published in: Applied sciences 2022-04, Vol.12 (9), p.4216
• Main Authors: Beering, Andreas, Krieger, Karl-Ludwig
• Format: Article
• Language: English
• Subjects: Coefficients; Cross correlation; digital filter limits; Digital filters; Fourier transforms; gear damage; Gears; Linear prediction; Sensors; signal processing; Spectra; Vibration; vibration analysis
• ISSN: 2076-3417; 2076-3417
• DOI: 10.3390/app12094216

The present work investigates the size of gear damage required for significant recognisable change in the vibration signal and presents a method to determine digital filter limits in order to emphasise the vibration behaviour in the time domain. For this purpose, two gears are artificially damaged to four different degrees. The damage levels are determined by a tactile gear measurement and the gears are inserted into two intact gearboxes. Measurements at different speeds are used to generate a representative dataset. On the one hand, the recorded signals are examined via cross-correlation in the time domain. On the other hand, the occurring frequency components are examined using a windowed fast Fourier transformation. Based on the two observations, a statement is made about the recognisability of the damage levels of the two gears in the vibration signal. Furthermore, smoothed spectra are calculated via linear prediction coefficients (LPC) and an appropriate number of required coefficients is estimated via the Akaike information criterion. Subsequently, the calculated prediction coefficients are used as coefficients of an all-pole filter to calculate difference spectra. Based on the difference spectra, filter limits for a digital filter are derived to emphasise the damaged tooth meshing in the time domain.