• CN：11-2187/TH
• ISSN：0577-6686

• 摩擦学 •

### 基于分形理论的圆弧齿轮滑动摩擦接触力学模型*

1. 四川大学制造科学与工程学院 成都 610065
• 出版日期:2016-08-05 发布日期:2016-08-05
• 作者简介:

马登秋，男，1991年出生。主要研究方向为齿轮传动。

E-mail：ma_dengqiu@sina.com

侯力(通信作者)，男，1956年出生，博士，教授，博士研究生导师。主要研究方向为机电一体化，机械传动。

E-mail：scuhou@126.com

• 基金资助:
* 国家自然科学基金资助项目(51375320); 20150823收到初稿，20160508收到修改稿;

### Sliding Friction Contact Mechanics Model of the Involute Arc Cylindrical Gear Based on Fractal Theory

MA Dengqiu, HOU Li, WEI Yongqiao, CHEN Jian

1. School of Manufacturing Science and Engineering， Sichuan University， Chengdu 610065
• Online:2016-08-05 Published:2016-08-05

Abstract:

：Considering the continuity of deformation and sliding friction between the contacts of involute arc cylindrical gear, a new sliding frictional fractal contact model of two involute arc cylindrical gears is set up through combining the fractal contact model and Hertz contact model. It proves that the frictional fractal contact model is correct by comparing ANSYS WORKBENCH results with the numerical analysis of fractal model. The model shows that relationship between the load and the real contact area is not only affected by the characteristic length scale and fractal dimension, but also by the contact radius and tooth line radius. Meanwhile, Theoretical calculation results show that real contact area increases with the increases of the load when the surface topography is affeeted constant. Contact area decreases with the increases of characteristic length scale, and increases at first and then decreases with the increases of fractal dimension when the load is constant. Friction factor has a little influence on real contact area. The contact mechanics model provides a foundation for study of the working style and strength analysis.