基于刀倾法的弧齿锥齿轮齿面失配啮合分析

以汽车驱动桥弧齿锥齿轮为对象,研究了齿面失配啮合分析方法。首先,建立了刀倾法加工数学模型,根据啮合方程推导出了摇台角,简化了齿面方程的数学表达。其次,基于齿轮啮合数学模型(TCA)中单位法向矢量相等推导出了齿轮啮合转角,简化了TCA求解方程。在此基础上,通过计算小轮实际齿面和与大轮完全共轭的小轮基准齿面之间的偏差,计算出齿面啮合失配量,通过图形化表达构建了齿面Ease off失配拓扑。该方法相对传统的齿面啮合分析方法,不仅方程数目减少,使算法更趋于稳健,而且构建的Ease off图形可以直观地展示出全齿面啮合状态,完善了现有的齿面TCA输出结果。

Tooth Flank Mismatch Meshing Analysis for Spiral Bevel Gear Based on Tilt Cutting Method

The analysis method of tooth flank mismatch meshing is studied for the spiral bevel gear of automobile drive axle.Firstly,the mathematical model of tilt cutting method is established,and the cradle angle is derived according to the meshing equation,so the tooth flank equation can be simplified.Secondly,the gear meshing angle is derived based on the equality unit normal vector of the gear meshing mathematical model (TCA),so the TCA solving equations can be simplified.On this basis,the tooth flank mismatch values are calculated by calculating the deviations between the pinion actual tooth flank and pinion reference tooth flank which is fully conjugated with the gear,and the tooth flank Ease off topology is constructed by graphical expression. Compared with the traditional tooth flank meshing analysis method,the proposed method not only reduces the number of equations,but also makes the algorithm more stable.The Ease off topology can visually display the whole tooth flank mesh state and improve the current TCA output.