Parametric Simulation of Tooth-Level Barreling Distribution Effects on Transmission Error Modulation and Spectral Characteristics in a Single Gear Pair
Publication Name: Applied Sciences Switzerland
Publication Date: 2026-06-01
Volume: 16
Issue: 11
Page Range: Unknown
Description:
Featured Application: The presented workflow supports early-stage sensitivity analysis of how tooth-level barreling variability influences transmission error and its spectral characteristics. The approach can help identify microgeometry distribution patterns that may increase modulation, sideband activity, and noise, vibration, and harshness (NVH) risk in geared drivetrain systems. Transmission error (TE) is a major excitation source in geared systems, but microgeometry deviations are usually evaluated through nominal amplitudes rather than their tooth-to-tooth spatial distribution. This study investigates how different tooth-level barreling deviation patterns influence TE modulation and spectral characteristics in a controlled single helical gear-pair model. The nominal barreling value was kept constant, while four deviation patterns were imposed on the 23-tooth pinion: harmonic, phase-shifted harmonic, clustered with an outlier, and random. The TE response was evaluated in the time domain and by Fast Fourier Transform (FFT)-based spectral analysis, with particular attention to the gear mesh frequency (GMF) and shaft-frequency-spaced sidebands. The results show that identical nominal barreling levels can produce different TE waveforms and spectral signatures. Harmonic distributions mainly preserve a regular response, whereas phase-shifted and clustered patterns increase waveform asymmetry and sideband activity. The clustered outlier case produced the most fault-like response. The findings indicate that tooth-level spatial distribution should be considered explicitly in simulation-based gear microgeometry and noise, vibration, and harshness (NVH) sensitivity studies.
Open Access: Yes
DOI: 10.3390/app16115248