• CN：11-2187/TH
• ISSN：0577-6686

• 摩擦学 •

### 线段齿轮法向接触刚度的改进分形模型研究

1. 合肥工业大学机械工程学院 合肥 230009
• 收稿日期:2017-04-05 修回日期:2017-12-05 出版日期:2018-04-05 发布日期:2018-04-05
• 通讯作者: 赵韩(通信作者),男,1957年出生,博士,教授,博士研究生导师。主要研究方向为汽车设计理论、机构学、机械传动。E-mail:hanzhaoff@qq.com
• 作者简介:刘鹏,男,1988年出生,博士研究生。主要研究方向为分形理论和齿轮传动。E-mail:bn605@hotmail.com
• 基金资助:
国家自然科学基金资助项目（51775156）。

### Research on Normal Contact Stiffness of Micro-segments Gear Based on Improved Fractal Model

LIU Peng, ZHAO Han, HUANG Kang, CHEN Qi, XIONG Yangshou

1. School of Mechanical Engineering, Hefei University of Technology, Hefei 230009
• Received:2017-04-05 Revised:2017-12-05 Online:2018-04-05 Published:2018-04-05

Abstract: The friction factor is introduced to calculate the normal contact stiffness of micro-segments gear accurately, when the contact stiffness, the impact of introducing. The fractal model applicable to micro-segments gear teeth is deduced by correcting the critical area formula friction plastic deformation, stiffness and contact area formula based on existing joint surface normal contact stiffness fractal model and combined with the area distribution formula of cylindrical joint surface. The relationship between the load and the normal contact stiffness is established through this model, analysis results show that:In the absence of friction conditions, the normal contact stiffness shows the maximum, decreases with the increasing friction coefficient. When the friction coefficient is small, the impact of the coefficient of friction on the cylinder normal contact stiffness is also small. The influence factors on surface microstructure normal contact stiffness required to consider the interaction of fractal dimension and fractal roughness amplitude which have a complex relationship. Inner contact form, increasing material parameters and the radius of the cylinder can make normal contact stiffness increases. Finally, a group micro-segments gear of different surface roughness is simulated as a reference for machining method and process selection of micro-segments gear.