In this paper, the author applied the mathematical theory of gear meshing, developed by Nankai University, to discuss systematically the meshing theory of Involute cylindrical worm gears.

本文应用南开大学齿轮啮合理论研究组提出的“齿轮啮合的数学理论”，系统地研究了渐开线圆柱蜗杆传动的啮合原理。

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Involute cylindrical worm-helical gear transmission is to use helical gears to replace worm wheels in traditional worm wheel transmission so as to form a new worm transmission.

圆柱蜗杆斜齿轮传动是在传统的蜗杆蜗轮传动中用斜齿轮取代蜗轮而形成一种新的蜗杆传动形式。

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A new method is proposed, in which a cylindrical worm is ground by a dressing gear under the condition of two degrees of freedom movement.

首次建立了双自由度运动状态下，用环面砂轮包络加工圆柱蜗杆传动的啮合原理数学模型。

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