Abstract: A method for correcting tooth flank errors of spiral bevel gears is investigated. Based on the mathematical model of tooth flanks, the tooth surface is discretized and then the radius vector and normal vector of discrete points is presented. The expression of tooth flank errors of modified tooth surface relative to theoretical one is established. According to the measuring data of tooth flank errors of real tooth surface, the difference surface is deduced. On the basis of setting up the relationship between the characteristic parameters of difference surface and proportional change parameters obtained from machine tool setting calculation, an error correction method based on proportional change parameters and the values of tooth flank errors of real tooth surface is proposed. By applying optimization algorithm, the coefficients of proportional change parameters are computed and then the correction values of machine tool settings are obtained. The tooth flank errors can be corrected by utilizing modified machine tool settings. The correction method of tooth flank errors is validated through practical tooth grinding and measurement of tooth flank.

Key words: dynamic balance, pressure control, transfer coefficient, work chamber of shield machine, Error correction, Proportional change parameters, Spiral bevel gear, Tooth flank errors