Abstract To improve the load capacity and reduce the influence of misalignment, the mathematical model and computerized analysis of spiral bevel gears based on geometric elements have been developed, which are point contact with normal cross-sectional circular arc tooth profiles and established on spherical involute spiral bevel drives, leading to the separability of shaft angle. The meshing theory and numerical model of the meshing pairs are put forward. The contact and meshing performance are discussed in detail, which include the point-contact meshing characteristics, the separability of shaft angle, the sliding characteristics and the contact ratio of the meshing pairs. The formation of contact and bending stress during the cycle of meshing is presented. The influence of misalignment on the contact pattern and transmission errors is analyzed. The proposed ideas have been demonstrated by fabrication and rolling tests of the prototypes to ensure the validity of the meshing theory and manufacturing feasibility of the new design.

中文翻译：

---

基于几何元素的螺旋锥齿轮数学设计与计算机分析

摘要 为提高承载能力，减少不对中的影响，建立了基于几何元素的螺旋锥齿轮的数学模型和计算机分析，其与法向截面圆弧齿廓点接触，建立在球面渐开线螺旋上。斜角驱动，导致轴角的可分离性。提出了啮合副的啮合理论和数值模型。详细讨论了接触和啮合性能，包括点接触啮合特性、轴角分离性、滑动特性和啮合副的接触比。介绍了啮合循环过程中接触应力和弯曲应力的形成。分析了未对准对接触图案和传输误差的影响。