Abstract This paper presents a mathematical model of convexo-concave helical bevel Novikov gear mesh. The usefulness of the designed mathematical model for tooth contact analysis was demonstrated. Moreover, a number of simulations were carried out aiming at evaluation of the influence of gear position errors as well as gear parameters on contact pattern and transmission error. Obtained results were compared with a conventional spiral bevel gear pair generated by duplex helical method. For the example provided, the Novikov one was shown to have greater instantaneous contact area and therefore reduced contact stress value.

中文翻译：

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凸凹斜面斜锥诺维科夫齿轮啮合数学模型及齿面接触分析

摘要 本文提出了凸凹斜面斜锥Novikov齿轮啮合的数学模型。证明了设计的数学模型对牙齿接触分析的有用性。此外，还进行了大量模拟，旨在评估齿轮位置误差以及齿轮参数对接触模式和传动误差的影响。获得的结果与通过双螺旋方法产生的传统螺旋锥齿轮副进行了比较。对于提供的示例，Novikov 显示出具有更大的瞬时接触面积，因此降低了接触应力值。