弧齿锥齿轮低敏感性修形

为了改善航空弧齿锥齿轮的啮合稳定性,提出了齿面低敏感性修形.基于齿面误差和误差敏感性矩阵,建立齿面误差修正模型,用广义逆矩阵的最小二乘法求解超越方程组,获得机床调整参数的修正量;对齿面进行3段抛物线修形,将修形后的齿面作为目标齿面,采用齿面误差修正的方法求得相应的机床调整 参数;仿真算例表明:经过低敏感性修形,降低了齿面印痕的误差敏感性、提高了齿轮副的容差范围,但齿根弯曲强度下降了4.28%.因此,通过合理选择齿面修形系数,可降低齿根强度的变化,改善齿轮副啮合稳定性.

Low sensitivity modification for spiral bevel gears

The methodology of low sensitivity modification was proposed for improving the meshing stability of spiral bevel gears used in aerospace application.Based on tooth surface error and error sensitivity matrix,the model of tooth surface error modified can be developed,the generalized inverse matrix with least square method was adopted to solve the transcendental equations,and the correction quantities can be obtained.Tooth surface modification with three segments parabolic was conducted,and the tooth surface correction model and the relative solutions were applied to obtain correspondingly machine-tool settings adjustment quantities by considering the modified tooth surface as the objective surface.A numerical example presents that the error sensitivity of the contact patterns and the misalignment tolerances can be enhanced by the low sensitivity modification with the root bending strength descending to 4.28%.Therefore,the change of tooth root strength can be fall down and the meshing stability can improved by the properly determination of tooth modification coefficients.