文摘
Spatial cracks may occur in the gear tooth fillet region due to the presence of non-uniform load distribution, local non-homogeneity of material quality, and potential misalignment of gear shafts and bearings, among other things. Previous researchers have discussed the tooth plastic inclination deformation due to a uniform depth planar crack. To the best of the authors’ knowledge, the non-uniform depth spatial crack has not been included in previous analyses. This paper presents a tooth plastic inclination model to analytically calculate the three-dimensional distributions of tooth plastic deformations due to spatial cracks based on the slicing principle. In addition, their influence on the dynamic performance of a spur gear pair was studied by building six-degrees-of-freedom model. The simulated results reveal that the non-uniformity of the crack depth along the tooth width direction could lead to uneven dynamic load distributions on the cracked tooth flank, which may excite a tilting motion of the gears. The larger the tooth plastic inclination angle, the higher the amplitude of the tilting motion that would be excited.