The Mathematical Model of Curve-Face Gear and Time-Varying Meshing Characteristics of Compound Transmission

Applied Sciences

Chunjiang He¹  Shuo Li²  Zhiqin Cai³  Yongquan Yu⁴  Yanan Hu⁴  Chao Lin⁴ 

[1] School of Mechanical and Power Engineering, Chongqing University of Science & Technology, Chongqing 401331, China;The International Joint Laboratory for Light Alloys (Ministry of Education), College of Materials Science and Engineering, Chongqing University, Chongqing 400045, China;The School of Aeronautics and Astronautics, Xiamen University, Xiamen 361102, China;The State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China;

关键词: curve-face gear;    mathematical model;    spatial finite helical motion;    point contact;    reciprocity;    relative displacement;   

DOI  :  10.3390/app11188706

来源: DOAJ

【 摘 要 】

The curve-face gear pair is a new type of gear pair with variable transmission ratio for spatial finite helical motion. In this paper, mathematical models of a new developed curve-face gear were simplified and obtained directly by the standard shaper. The subsequent studies on the curve-face gear compound transmission characteristics were further analyzed by the combinations of the principle of space gearing and screw theory. Firstly, the conjugate tooth surface geometry as well the point contact traces of curve-face gears were derived. Secondly, the geometric relationships between gear pair and the corresponding meshing characteristics were evaluated by several basic geometric elements, including instantaneous screw, axodes, striction curve, and conjugate pitch surface. Based on that analysis, it was found that the tooth contact normal was reciprocal to the instantaneous twist, which demonstrated that the conjugate motion with the desired transmission ratio could be realized in current curve-face gear compound transmission. Moreover, the time-varying slip characteristics of the curve-face gear pair were also revealed, that is, rolling and sliding action coexist at all contact on the tooth surfaces. In brief, this work provided the theoretical basis for following researches on machining curve-face gear with standard shaper.

【 授权许可】

Unknown