目前，鼓形齿轮齿面成形方法主要有两种：成形方法Ⅰ为滚刀绕位移圆圆心作圆弧运动展成鼓形齿面，成形方法Ⅱ为滚刀绕位移圆圆心作圆弧运动展成鼓形齿面。成形方法决定齿形，进而影响其接触性能。然而，以上两种成形方法生成的齿形差异及影响机制尚不清楚。因此，基于齿面加工仿真，推导了两种成形方法的齿面模型。采用啮合原理和有限元，建立了几何和承载接触分析模型。对比了两种成形方法的齿形、几何及承载接触特性。结果表明，在位移圆半径相等下：随着位移圆半径的增大，成形方法Ⅰ与Ⅱ的齿形偏差逐渐减小，最大偏差251μm；成形方法Ⅰ比Ⅱ的齿间载荷分配更加不均匀，最大载荷比最小载荷多702.8%、451.2%。在鼓形量相等下：成形方法Ⅱ的位移圆半径须大于Ⅰ，两者差200mm；成形方法Ⅰ与Ⅱ的齿间载荷分配接近。

At present, there are two main methods for forming the hub tooth surface of crown gear coupling. Forming method I is that, the hob centre makes circular motion around the centre of the displacement circle. While forming method II is that gear shaper centre also makes circular motion around the centre of the displacement circle. Forming method determines the tooth shape, thereby affecting the meshing performance of crown gear coupling. However, the differences in tooth shape generated by the aforementioned two forming methods and their influencing mechanisms remain unclear. Therefore, based on the simulation method of tooth surface machining, the two kinds of hub tooth surfaces were simulated and modelled respectively. Subsequently, geometric tooth contact analysis and loaded tooth contact analysis models were established using meshing theory and finite element method. Finally, the tooth shape, unloaded and loaded tooth contact characteristics of forming methods I and II were compared and analysed, respectively. The results show that under the condition of the same displacement circle radius, the deviation of tooth profile shape of forming methods I and II gradually decreases with the increase of the displacement circle radius, and the maximum deviation reaches 251μm. Moreover, the load sharing among teeth of forming method I is much more uneven than that of II, and the maximum loads are 702.8% and 451.2% more than the minimum loads, respectively. Under the condition of the same crowning amount, the displacement circle radius of forming method II must be greater than that of I, and the difference between them is 200mm. The load sharing among teeth of forming methods I and II are close.

国家自然科学基金(52205070,52005402)