平面内齿轮包络凸环面蜗杆传动啮合性能分析

提出一种新型蜗杆传动形式——平面内齿轮包络凸环面蜗杆传动。以微分几何和空间啮合理论为基础建立该传动的啮合函数、齿面方程的数学模型。分析该传动的各种传动形式,研究其母平面倾角对啮合性能的影响规律。研究结果表明:母平面倾角决定传动副的接触线分布;平面内齿轮一次包络凸环面蜗杆传动具有良好的润滑性能;平面内齿轮二次包络凸环面蜗杆传动具有较高的承载能力。为研制承载能力高、润滑性能好、体积小的新型动力蜗杆传动形式提供理论基础。

Meshing performance analysis of planar internal gear enveloping crown worm driving

A new worm driving,i.e. planar internal gear enveloping crown worm driving,is presented. Its mathematical model of meshing functions and teeth surface equations are established basing on the theory of differential geometry and gear mesh. Various types of the driving,the macroscopic meshing performance and the microcosmic meshing performance are analyzed. The results show that the inclination angle of generating plane determines the distribution of contact lines,the planar internal gear primary-enveloping crown worm driving has ideal lubrication property,and the planar internal gear second-enveloping crown worm driving has high loading capacity. The studies are practicably instructive for developing new worm driving with high loading capacity,ideal lubrication and small volume.