Abstract

The design flexibility and transmission stability of the non-circular gears can be improved using the helical tooth scheme. Herein, a linkage model was derived for hobbing the helical non-circular gears based on the influence of the axial feed motion of the hob on the motion of the projecting rack on the gear-blank end face. This axial feed motion produces additional motion effects on the rotary axis of the gear-blank and the moving axis of the hob. Further, the accuracy of the linkage model was verified by kinematic simulations. The global convergence characteristics of the transcendental equation used for obtaining the polar angle of the pitch curve were ascertained to derive the interpolation calculation process for the linkage model-based electronic gearbox. The cause of cumulative error during the multi-turn hobbing process of the gear blank was analyzed. The error accumulation was effectively controlled by optimizing the interpolation algorithm. The hobbing experiments and meshing transmission test were conducted using the self-developed non-circular gear hobbing system to verify the effectiveness of the linkage model and interpolation algorithm.

Graphic abstract

中文翻译：

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螺旋非圆齿轮滚齿的联动模型及插补分析

摘要

使用斜齿方案可以提高非圆齿轮的设计灵活性和传动稳定性。在此，基于滚刀的轴向进给运动对齿轮齿端面上的突出齿条的运动的影响，推导了用于对斜齿非圆形齿轮进行滚齿的联动模型。这种轴向进给运动在齿轮坯的旋转轴和滚刀的运动轴上产生附加的运动效果。此外，通过运动学仿真验证了链接模型的准确性。确定用于获得俯仰曲线的极角的先验方程的全局收敛性，以得出基于联动模型的电子变速箱的插值计算过程。分析了齿轮毛坯多圈滚齿过程中累积误差的原因。通过优化插值算法，有效地控制了误差累积。利用自行研制的非圆齿轮滚齿系统进行滚齿试验和啮合传动试验，验证了联动模型和插补算法的有效性。

图形摘要