Abstract Optimising the hob used to manufacture gears is an attractive approach for minimizing the gear tooth root stress. However, currently available approaches often require modifying the hob for every gear case, which limits their practical application and increases design and manufacturing costs. In this study, two sets of Bezier curve parameters for gear hobs were developed to minimize the tooth root stress: one for standard hobs and the other for protuberance hobs. The two parameter sets can be used to modify any hob and effectively reduce the gear bending stress, and they are widely applicable to all common gear cases. Calculation with the finite element method indicated that the first-best parameter set for standard hobs reduced the stress of most gear cases by 6%–10%. The second-best parameter set for protuberance hobs reduced the stress of almost all gear cases by 7%–15%. The average optimisation potential was 10.73%. Meanwhile, the manufacturing cost is very low because an optimised hob can be applied to producing other gears. These two parameter sets are a significant contribution to the optimisation and manufacture of gears.

中文翻译：

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降低齿轮齿根应力滚刀优化的最佳标准参数研究

摘要 优化用于制造齿轮的滚刀是最小化齿轮齿根应力的一种有吸引力的方法。然而，目前可用的方法通常需要针对每个齿轮箱修改滚刀，这限制了它们的实际应用并增加了设计和制造成本。在这项研究中，为齿轮滚刀开发了两组贝塞尔曲线参数，以最小化齿根应力：一组用于标准滚刀，另一组用于凸起滚刀。这两个参数集可用于修改任何滚刀并有效降低齿轮弯曲应力，它们广泛适用于所有常见齿轮箱。用有限元方法计算表明，标准滚刀的最佳参数组使大多数齿轮箱的应力降低了 6%–10%。凸起滚刀的次佳参数组将几乎所有齿轮箱的应力降低了 7%–15%。平均优化潜力为 10.73%。同时，由于优化的滚刀可以应用于生产其他齿轮，因此制造成本非常低。这两个参数集对齿轮的优化和制造做出了重大贡献。