Abstract: A modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm aiming at hypoid gears with wear of tooth surfaces is proposed. Above of all, the discrete data of real tooth surfaces, which are measured by 3D coordinate-measure-machine, is segmented by segmentation based non-geometric-feature. The wear areas of tooth surfaces are identified. In addition, a revised interpolation algorithm is applied to interpolation partial tooth surfaces. Finally, on the basis of traditional fairing algorithm for scattered point data, the revised fairing algorithm is proposed. By comparing the instance, this method not only reduces the amount of interpolation algorithm calculation, but also improves the accuracy of interpolation data points, and improved the smoothness of digital gear tooth surfaces. The digitization construction of real tooth surfaces of hypoid gears with wear lays the foundation for its dynamic performance prediction.

Key words: hypoid gears, interpolation algorithm, segmentation based on non-geometric-feature, wear of tooth surface