中文摘要：

直齿锥齿轮齿面的加工误差或者微米级的齿面的设计修形量就能改变了直齿锥齿轮的齿面啮合性能。因此，建立精确的齿轮有限元模型是准确分析齿面啮合性能的关键。进行研究了精确的直齿锥齿轮有限元映射网格的建立方法。通过建立齿面刨齿展成加工法的数学模型，精确计算齿面点坐标构造节点。在旋转投影面划分网格，并将其映射到齿面上构建六面体八节点单元，这种直齿锥齿轮轮齿有限元模型可通用于有限元分析软件。将建立的有限元模型信息导入到ANSYS中进行齿面应力分析，计算得到的齿根弯曲应力与经验公式对比，结果基本一致。

英文摘要：

The tooth surface machining error or the tooth surface design of the micron level of straight bevel gears can change the meshing performance of the tooth surface. Therefore, the key to accurately analyze the meshing perforrnance is to establish a precise finite element model of the gear. The thesis studied the precise modeling method of the straight bevel gears finite element of mapping grid. Through establishing the mathematical model of the tooth surface by the gear shaper generative processing method and calculate the tooth surface coordinates structure nodes accurately, it meshed in the rotating plane and mapped it to the tooth surface to building unit of eight-node hexahedrorL This straight bevel gears finite element model can be common used in the finite element analysis software. Imported the finite element model information into the ANSYS to analyze the tooth surface stress, the tooth root bending stress was calculated by the empirical formula and comparison results are basically consistent.