斜齿轮齿面的修形优化设计及分析

In order to reduce the vibration and noise of helical gears, an optimal design approach of tooth modification was proposed for helical gears.First, the lead modification curve was determined by two fourth-order parabola curves and a straight line, and the profile modification curve was designed as a high-order parabola curve, whose basic profile was determined by the geometrical total contact ratio.Then, the high-order modified tooth surface was constructed by the composition of the standard tooth surface and the surface of deviation obtained by cubic B-splines fitting on the tooth surface grid.Finally, the optimization model was set up based on the LTCA (loaded tooth contact analysis) and the intelligent optimization algorithm, and the final values of the tooth modification were determined via optimizing the ALTE (amplitude of loaded transmission error).Calculation results of the numerical instance show that the values of the concave region on the high-order modification curve are gradually increased with the increasing loads.Furthermore, the ALTE is dramatically reduced after the high-order tooth modification under the three designed loads of the high, middle and low level.However, the ALTE is only significantly reduced after the traditional tooth modification under the designed load of the low level.