一类蜗杆传动啮合方程的研究

本文导出了某一类蜗杆传动的啮合函数一般公式，它适用于轨迹曲面蜗杆（这种蜗杆齿面由一条曲线作刚体运动而产生）传动和化为这种类型的蜗杆传动。文中对加工蜗杆齿面时刀刃曲线的不同形状，依据公式得到了相应蜗杆传动啮合方程的可解规律。工业生产中几种重要的蜗杆传动的啮合方程，都可化为关于某参数的至多四次代数方程。

THE STUDY OF THE MESHING EQUATION OF A KIND OF WORM GEARING

In this paper, a general formula for the meshing function for a kind of worm gearing has been given. It is applicable to the case when the tooth surface of the worm may be generated by a curve moving rigidly in spaces and what can be reduced to this kind of worm gearing. The general formula for the meshing function has been used to analyze, the possibility to express one of the parameters concerned in terms of the other one and the time parameter when the worm surface is generated by the moving edge curve of the cutting tool and how the possibility changes with the shape of the edge curve. As examples for the application of our general formula, the meshing equations for several important kinds of worm gearing in industrial production are obtained. These equations are at most of the fourth degree in one of the parameters, so they can be solved by radicals and treated more easily with the help of computers.