Liu Youyu, Lu Songsong, Xu Jiao, Yang Siyang, Tao Wanbao
Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment, Ministry of Education, Wuhu, 241000, China.
School of Mechanical Engineering, Anhui Polytechnic University, Wuhu, 241000, China.
Sci Rep. 2022 Oct 13;12(1):17156. doi: 10.1038/s41598-022-22139-7.
The family of elliptical gears with closed pitch curves includes elliptical gears and deformed elliptical gears. Elliptical gears are not only the most widely used non-circular gears but also the research hotspot in the field of non-uniform transmission. However, adjusting the shape of its pitch curve is difficult, which seriously restricts its popularization. This article proposes a piecewise deformed elliptical gear with a closed pitch curve, which realizes the unity of all kinds of elliptical gears in the mathematical model, makes the shape of the pitch curve and gear ratio easier to adjust, and expands the connotation and application scope of the family of elliptical gears. Moreover, the design approach of transmission with piecewise deformed elliptical gear was studied, and the inspection method of transmission performance was provided. The internal relationship between piecewise deformed elliptical gears and the family of elliptical gears was then analyzed. Finally, the method of computer-aided design (CAD) system developed was also provided. Additionally, a case was provided to verify the above theories. The designed conjugate pair can realize a correct meshing and adjust the gear ratio more flexibly, laying a theoretical foundation to expand the application field of non-uniform transmission.
节曲线封闭的椭圆齿轮系包括椭圆齿轮和变形椭圆齿轮。椭圆齿轮不仅是应用最为广泛的非圆齿轮，也是非等速传动领域的研究热点。然而，其节曲线形状调整困难，严重制约了它的推广应用。本文提出一种节曲线封闭的分片变形椭圆齿轮，实现了各类椭圆齿轮在数学模型上的统一，使节曲线形状及传动比更易于调整，拓展了椭圆齿轮系的内涵与应用范围。此外，研究了分片变形椭圆齿轮的传动设计方法，给出了传动性能的检验方法，分析了分片变形椭圆齿轮与椭圆齿轮系的内在联系。最后，给出了所开发的计算机辅助设计（CAD）系统的方法，并通过实例验证上述理论。所设计的共轭副能够实现正确啮合，且更灵活地调整传动比，为拓展非等速传动应用领域奠定了理论基础。
