渐开线直齿圆柱齿轮齿根最小曲率半径研究

Study of Minimum Curvature Radius of Teeth Root of Involute Spur Gear

针对圆柱齿轮的齿根过渡曲线建模较为困难的问题,采用圆柱齿轮展成法加工原理与三心定理相结合的研究方法,推导出圆柱齿轮齿根过渡曲线上各点曲率半径的计算公式。在该公式的基础上,分析多个参数对曲率半径的影响规律,为齿根过渡曲线最小曲率半径的选择和设计提供参考。

The cylindrical gear generating machining principle is used with the triple heart theorem to establish the model of the teeth transition curve of the cylindrical gear and obtain, the calculation formula of the curvature radius of its each point. And the influence of multiple parameters on the curvature radius is analyzed based on the formulation. The reference is provided for the selection and design of the minimum curvature radius of the teeth root transition curve.