Considering the wide use of bevel gear, a new bevel gear type with variable transmission ratio has been proposed. Based on the manufacturing and generating theory of gear, the mathematical equations for the tooth surface of this gear type has been established with two different methods: lead crowning, which meets the commonly used industrial methods with higher efficiency, lower cost and the method with rack cutter shows much clear relationship of gear meshing process. The contact points and characteristics of transmission errors with different misalignment conditions have been presented. Also the feature of contact area on the tooth surface in a whole cycle was developed in this paper. Compared the contact results of elliptical bevel gear with curve face gear, the former has less misalignments sensitivity and better loaded capability.

中文翻译：

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不同偏心度的椭圆锥齿轮齿面接触分析

考虑到锥齿轮的广泛应用，提出了一种新型的可变传动比锥齿轮。基于齿轮的制造和生成理论，该齿轮类型的齿面数学方程建立了两种不同的方法：铅冠法，满足常用的效率更高，成本更低的工业方法和齿条方法刀具显示出齿轮啮合过程中非常清晰的关系。介绍了不同错位条件下传输错误的接触点和特征。本文还开发了整个循环中齿面接触面积的特征。椭圆锥齿轮与曲线面齿轮的接触结果相比，前者的错位敏感性更低，承载能力更好。