Abstract
This study focuses on a class of dynamic behavior observed in spur gear pairs as a parametrically excited system. Stiffness at the gear contact interface that couples the gear bodies is a periodically time-varying due the fluctuation of number of tooth pairs in contact. In presence of such stiffness fluctuation as part of the excitations, various published studies predicted subharmonic resonances near speeds that are integer multiples of the speed at which the primary resonance occurs, with little or no validation. This study presents an extensive experimental investigation to show such subharmonic resonances and various associated period-n motions (n≥2) under both transient and steady-state conditions. A test set-up and a pair of test gears developed for this purpose are described along with solutions to various measurement and data processing challenges. Two different models of the gear pair, a purely torsional discrete model and a deformable-body model, are employed, and their predictions are compared to the measured period-1 and period-n motions to assess their accuracy.
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