Nonlinear Dynamic Modelling and Analysis for a High Contact Ratio Spur Gear Pair Considering the Meshing State of Multiple Pairs of Teeth

AbstractThe use of high contact ratio (HCR) gear is an important means to improve the comprehensive performance of transmission system. A meshing cycle of HCR gear can be divided into five stages, i.e., three pairs of teeth meshing, double pairs of teeth meshing, three pairs of teeth meshing, double pairs of teeth meshing and three pairs of meshing. The traditional dynamic model based on a pair of teeth will not be accurate for describing the dynamic behavior of gear system with high contact ratio. Therefore, based on the actual meshing characteristics of each pair of gear teeth, a nonlinear dynamic model of gear pair with high contact ratio considering the meshing state of multiple pairs of teeth is proposed. To accurately obtain the meshing error of each pair of teeth, which is the key to establish the new dynamic model, the TCA (tooth contact analysis) method is employed in this paper. Further, the effects of different factors on dynamic characteristics based on this new model are analyzed. The new dynamic model proposed in this paper lays a foundation for building a more accurate dynamic model of a HCR gear system and analyzing the effect of each pair of meshing teeth on its dynamic behavior.KeywordsGearHigh contact ratioMeshing errorNonlinear dynamicsDynamic characteristics