内啮合变厚齿轮副斜向插削工艺的研究

提出了用同一把插齿刀加工一对内啮合变厚齿轮副中内外齿轮的新加工方法。通过对斜插后齿轮的齿面方程的推导和误差分析，详细论证了该加工方法的可行性，并给出了最佳斜向插削角度的计算公式。分析结果表明：该种加工方法所产生的齿形误差很小，且两齿轮分度圆上的压力角基本相同，这就能够保证两齿轮的正确啮合传动。而且通过实例验证了两变厚齿轮斜向插削角度计算公式的正确性。最近利用该加工方法已实际加工出两对内啮合变厚齿轮副，并已应用在一新型减速器中，效果很好。理论和实践证明，该加工方法能够利用国内现有的设备加工出高精度的内啮合变厚齿轮副。

Study on Bevel-Slotting Technology of Manufacturing Internal Bevoloid Gear Pair

A new manufacturing method that a pair of internal bevoloid gears is slotted with the same pinion cutter is put forward. The feasibility of this method is demonstrated in detail by deriving the equation of profile curved surface of bevoloid gears that has been slotted and by error analysis. In addition, the calculating formula of the optimal bevel slotting angle is given. The theoretical results indicate that the profile error resulted from this method is very small and the reference circle pressure angles of both the gears are almost the same, which can ensure the right mesh of both gears. Moreover, the formula of optimal bevel slotting angle has also been checked by an example. Two pairs of internal bevoloid gears using this method have been machined and used in a new type of reducer, and present good performance. The theory and the practice show that this new manufacturing method is able to machine high precision internal bevoloid gear pairs with existing machine tools in China.