Wavelet application research on tooth surface of spherical involute spiral bevel gear

Abstract

In order to improve the machining accuracy of spiral bevel gears, a scheme based on the cubic B-spline wavelet was proposed. Based on the principle of spherical involute formation, a program was made in MATLAB to obtain the coordinate data of discrete points of the tooth surface. Furthermore, the high frequency information of discrete point data was eliminated, low frequency information was reserved based on the wavelet theory, and a set of new discrete points on the tooth surface was reconstructed. When these new discrete points were accurately fitted through the cubic NURBS surface, a tooth surface with lower curvature and lower complexity was obtained. The digital model of the tooth surface obtained through this method was machined by CNC, and the finishing tooth surfaces were measured using a three-coordinate measuring instrument. These experiments have proven that tooth surfaces processed by the wavelet had higher machining accuracy, when compared with the original one. A new method was provided to improve the machining accuracy of the spiral bevel gear by reconstructing its digital model.