• CN：11-2187/TH
• ISSN：0577-6686

• 摩擦学 •

### 考虑摩擦的圆柱面切向接触刚度分形模型研究*

1. 合肥工业大学机械工程学院 合肥 230009
• 出版日期:2016-12-05 发布日期:2016-12-05
• 作者简介:

陈奇，男，1979年出生，博士，副教授，硕士研究生导师。主要研究方向为分形理论及其应用和机械传动与控制。

E-mail：seucq@163.com

张振(通信作者)，男，1989年出生，硕士研究生。主要研究方向为机械传动控制与故障诊断。

E-mail：mediazhangzhen@126.com

• 基金资助:
* 国家自然科学基金资助项目(51305116); 20160104收到初稿，20160711收到修改稿;

### Research on Fractal Model of Tangential Contact Stiffness between Cylindrical Surfaces Considering Friction Factors

CHEN Qi, ZHANG Zhen, LIU Peng, HUANG Shouwu, MA Yunbo

1. School of Mechanical Engineering， Hefei University of Technology， Hefei 230009
• Online:2016-12-05 Published:2016-12-05

Abstract:

In order to precisely calculate tangential contact stiffness (TCS) between cylindrical surfaces, this paper presents the establishment of fractal model for TCS calculation between cylinders considering friction factors. This model is obtained by introducing the equation of critical contact area of elastoplastic deformation with friction and employing the basic theory of TCS, based on the fractal contact model of two cylinders’ surfaces, and by employing the Matlab to simulate the model, the changing law of TCS affected by different parameters (such as: friction coefficient, fractal dimension, roughness amplitude, material propertied parameters and curvature radius of cylinders) and contact type is investigated. The numerical results are as follows: the relationship between TCS and normal load is direct ratio, which appears exponential and linear rule respectively with variation of fractal dimension. TCS is inverse proportional to friction coefficient. Effect of material propertied parameters on TCS changes with size of fractal dimension as well as the value itself. The correlations between fractal dimension and TCS, roughness amplitude and TCS are direct or inverse proportion depending on the value of fractal dimension and material propertied parameters. Furthermore, TCS of inner contact is bigger than that of outer contact; TCS increases with curvature radius of cylinders. The theory here helps to analyze the dynamic characteristics between high-pair’s joint surfaces in the future.