基于曲率修正的弧齿锥齿轮齿面设计

针对弧齿锥齿轮小轮齿面复杂,加工参数调整计算繁琐,根据小轮切齿加工数学模型,构建与小轮齿面具有相对传动关系的共轭大轮齿面。以完全共轭大轮为基准面,提出一种大轮差齿面曲率修正构建方法。对差齿面和完全共轭齿面叠加后得到的大轮目标齿面进行离散齿面接触分析,结果显示,采用临界干涉法可有效判断啮合状态,真实获得离散齿面的啮合印痕和传动误差曲线。弧齿锥齿轮的滚检试验结果表明,利用齿面曲率修正的方法对完全共轭大轮进行Ease-off二阶修形设计,得到的接触区位置和啮合迹线方向符合满足预定的传动性能。设计的目标齿面可以作为弧齿锥齿轮大轮精密锻造的标准齿面,避免了小轮齿面加工参数的二次调整计算。

Tooth surface design of spiral bevel gear based on curvature correction

Due to the complexity of tooth surfaces of a pinion and the calculation of machine tool settings, the conjugate flank with pre-determined transmission relationship relative to the pinion tooth surface was constructed in accordance with the mathematic model based on the milling method. Taking the conjugate gear surface as a reference plane, a methodology for the construction of Ease-off gear surface was presented. The tooth contact analysis for discrete flank was performed for the superposing conjugate tooth surface upon Ease-off one. The simulation results show that the critical interference approach is effective to determine the meshing state, and obtain more truly the contact patterns and corresponding transmission error curve. The experimental results of rolling test show that the location of contact pattern and direction of contact path meet the pre-designed transmission performances by applying the two order Ease-off modification approach based on the curvature correction to the conjugate flank of gear. The target gear surface can be used as the standard surface for gear precision forging, thus avoiding the secondary calculation for pinion tooth surface.