Abstract The tooth strength performance of face-hobbed and face-milled hypoid gears under the same work condition is a controversial research hotspot. In this paper, the load capacity of face-hobbed and face-milled hypoid gears has been studied based on finite element analysis method and conventional international standards. The stress comparison for contact and bending stress between two types of gears have been conducted. The accurate mathematical model of face-hobbed and face-milled hypoid gear were established based on the generating and forming process. The statistical method was used to assess the contact and bending stress. Results show that the values of bending stress of face-milled gear are about 20–30% larger than those of face-hobbed gear. For the contact area with high stress (800–1300 MPa), the proportion of face-milled hypoid gear is much more than that of face-hobbed gear. The standard deviation values of contact point stress for face-milled hypoid gear are 7.1% higher than those of face-hobbed gear. The strength results by standards and finite element analysis results can verify with each other consistently. Both results contribute that face-hobbed hypoid gear has better tooth strength under the same condition.

中文翻译：

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端面滚齿面铣准双曲面齿轮接触和弯曲应力研究

摘要 平面滚齿和面铣准双曲面齿轮在相同工况下的轮齿强度性能是一个有争议的研究热点。在本文中，基于有限元分析方法和国际常规标准，研究了面滚齿和面铣准双曲面齿轮的承载能力。对两种齿轮的接触应力和弯曲应力进行了应力比较。基于齿轮的生成和成形过程，建立了平面滚齿和面铣准双曲面齿轮的精确数学模型。统计方法用于评估接触和弯曲应力。结果表明，面铣齿轮的弯曲应力值比端面滚齿齿轮的弯曲应力值大约20-30%。对于高应力（800-1300 MPa）的接触区域，面铣准双曲面齿轮的比例远远大于平面滚齿齿轮。面铣准双曲面齿轮接触点应力的标准偏差值比端面滚齿齿轮高7.1%。标准强度结果与有限元分析结果可以一致地相互验证。这两个结果都有助于在相同条件下平面滚齿准双曲面齿轮具有更好的轮齿强度。