椭圆弧齿圆柱齿轮的一种铣削加工方法

A Milling Method for Elliptic-arc-tooth-trace Cylindrical Gear

在研究圆弧齿线圆柱齿轮的基础上,提出了全齿宽啮合型椭圆弧齿圆柱齿轮的铣削加工方法。通过分析其理想几何参数,推导了齿轮齿面及啮合重合度方程。利用齿轮齿条模型分析了刀具与椭圆齿线的形成过程,提出椭圆弧齿圆柱齿轮的铣削加工原理,并进行了齿轮的铣削加工。斜安装的刀具加工形成的齿轮在径向截面上都是渐开线齿廓,齿线在分度圆柱面的展开曲线为椭圆的一部分,凸齿面齿线与凹齿面齿线具有相同的几何形状参数。该加工原理可以完成椭圆弧齿圆柱齿轮的高效铣削,也适用于该齿轮的磨削。

On the basis of the study on the circular-arc-tooth-trace cylindrical gear,the milling method of the elliptic-arc-tooth-trace cylindrical gear which can realize whole teeth width meshing is proposed. By analyzing the ideal geometric parameters,the equations of tooth surface and contact ratio are deduced. The forming processes of the machining tools and elliptic-arc-tooth-trace are analyzed by the rack and pinion model,and the milling principle is put forward according to which the milling of the gear is completed. The profiles of the gear machined by the oblique mounting tools are all involute in the radial sections,and the expansion curve of the tooth trace on the reference cylindrical surface is part of the ellipse. The convex and the concave tooth trace have the same geometric parameters. The processing principle can completes the high-efficiency milling of the gear,and also can be used for grinding.