摆线齿准双曲面齿轮齿面主动设计

Active tooth surface design of cycloid hypoid gears

为预控双面法加工的摆线齿准双曲面齿轮的啮合性能,用大轮理论齿面展成与之共轭的小轮共轭齿面,将小轮共轭齿面沿啮合线方向和接触迹线方向分别进行修形,得到满足预置传动误差曲线以及接触印痕的目标齿面,计算出目标齿面与小轮理论齿面的法向偏差。建立以小轮加工参数调整量为变量,小轮两侧齿面与目标齿面法向偏差平方和最小为目标的优化模型,并采用序列二次规划算法求解该模型。以某高速车桥齿轮副为例进行验证,结果表明:加工参数调整后小轮两侧齿面与各自目标齿面的最大法向偏差分别为-4.7μm和-4.67μm,两侧啮合转换点传动误差与预置值分别相差6.67%和4%,两侧接触迹线最大偏差分别为0.275mm和0.177mm,基本符合预置条件。

In order to pre-control the meshing performance of cycloid hypoid gears, a conjugate pinion tooth surface was generated by gear theoretical tooth surface. The pinion target tooth surface that meets the preconditions was obtained by modifying the conjugate tooth surface along the contact path and the contact line. The sum of tooth surface normal square errors between pinion theoretical and target tooth surface was calculated. The optimal model was built, setting the modifications of pinion machining parameters as variables and the least sum of square errors between pinion tooth surface and pinion target tooth surface on both sides as object. This optimization model was solved via sequence quadratic program. The validity of this modification method was demonstrated by using a numerical example of a high speed axle gear pair. The results show that the max normal errors on both sides are -4. 7μm and -4. 67μm, the transmission error deviations are 6.67% and 4%, the max contact path deviations are 0. 275 mm and 0. 177 ram, the results are found in line with the preconditions.