渐开线环形齿球传动中齿面曲率及曲率半径研究

Research of the Curvature and the Curvature-Radius on Involutes Spherical Gear

首先从渐开线环形齿球齿轮的形成原理出发,导出环形渐开面参数方程式;然后利用微分几何原理推导了齿球齿轮传动的齿面主曲率与主方向,得出面齿轮传动中诱导法曲率的两个主值;分析了传动中的主要参数对曲率的影响,所获得的结论对面齿轮传动的接触强度计算与分析具有参考价值。

The tooth flank parameter equation was deduced based on the generating principle of spherical—gear,and the master curvature and orientation of the tooth flank were derived based on the essential principle of differential geometrically.It puts foreword valuable parameters for contact problem's analysis and calculation.