Mathematical modeling and forming method of rake face of toroidal worm gear hob based on conical production surface
Mathematical modeling and forming method of rake face of toroidal worm gear hob based on conical production surface
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DOI：
10.1177/16878132221131298
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发表时间：
2022-11
影响因子：
2.1
通讯作者：
Jie Yang;Saixuan Chen;G. Cui;Zhenshan Zhang
中科院分区：
文献类型：
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作者：
Jie Yang;Saixuan Chen;G. Cui;Zhenshan Zhang
为了提高超环面蜗轮滚刀的切削性能和滚切蜗轮的齿面精度，控制各刀齿侧前角的绝对值较小且左右更加平衡，提出了一种利用圆锥形加工面展开螺旋槽超环面蜗轮滚刀前刀面的方法。根据齿轮啮合合理性理论，建立了前刀面的数学模型。分析和计算实例结果表明，两侧前角的绝对值随传动比系数的变化而变化。通过研究这一变化规律，得到最佳铣削传动比系数k = 0.886。同时，对应的前角绝对值在±4.5°之间，有效地减小了刀齿两侧前角的绝对值，使左右两侧前角更加均衡。在仿真软件中对螺旋槽进行了仿真，并测量了螺旋槽的前角。实测结果与计算结果一致，证明了该方法的正确性。
In order to improve the cutting performance of toroidal worm gear hob and the tooth surface accuracy of hobbing worm gear, to control the absolute value of the side rake angle of each cutter tooth to be smaller and more balanced on the left and right sides, a method of developing the rake face of toroidal worm gear hob with spiral groove by using conical production surface is proposed. According to the theory of gear meshing rationality, the mathematical model of the rake face is established. The analysis and calculation example results show that the absolute value of the rake angle on both sides changes with the transmission ratio coefficient. By studying this change law, the optimal milling transmission ratio coefficient k = 0.886 is obtained. Meanwhile, the corresponding absolute value of the rake angle is between ±4.5°, which reduce the absolute value of the rake angles on both sides of the cutter teeth effectively and make the rake angles on the left and right sides be more balanced. The spiral groove was simulated, and the rake angle was measured in the simulation software. The measured results are consistent with the calculated results, which prove the correctness of this method.