关键词: 斜齿轮, 面齿轮传动, 主动修形, 数控加工, 边缘接触

Abstract: For a face gear drive with a helical pinion to pre-control its meshing performance and avoid its edge contact,a method of tooth surface active modification was proposed.The quantitative parameters of geometry meshing performance were applied to establish the mathematical model of the pinion's modified tooth surface.The coefficients of CNC motion rule polynomials were derived according to the pinion generation by CNC machining method,then the sensitive matrix represented the influence of incremental coefficients and unit increment on the position vector variation of tooth surface was established,and the cutting volume of the modified tooth surface respecting with the theoretical one of the pinion formed a sensitive matrix equation,which was iteratively solved by Singular Value Decomposition (SVD) to correct CNC motion rule for generating the active modified tooth surface of the pinion.Numerical example illustrated the application of the proposed method and showed that the method of motion rule correction was feasible,and the modified surface was able to reproduce the pre-designed geometry meshing performance to avoid the edge contact without misalignment,but the edge contact would occurred again with misalignment.

Key words: helical pinion, face gear drives, active modification, CNC machining, edge contact