Dynamic Characteristics Analysis of Gear-Bearing System Considering Dynamic Wear with Flash Temperature

Mathematics

Linlin Wang¹  Xiaopeng Li²  Hexu Yang²  Zemin Yang²  Jinchi Xu²  Renzhen Chen² 

[1] MICAS, Department of Electrical Engineering ESAT, Katholieke Universiteit Leuven (KU LEUVEN), 3001 Leuven, Belgium;School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;

关键词: flash temperature;    Archard theory;    gear;    bearing;    tooth surface wear;    dynamic wear;   

DOI  :  10.3390/math9212739

来源: DOAJ

【 摘 要 】

The influence of the dynamic wear model considering the tooth contact flash temperature on the dynamic characteristics of a gear-bearing system is studied. Firstly, the meshing stiffness model, based on flash temperature theory, is established. Then, the changing of tooth surface temperature and meshing stiffness in the process of gear meshing is analyzed. Next, the initial tooth surface wear is calculated based on the Archard theory, and the dynamic wear model of the system is established. Finally, the effects of initial wear, friction factors, and damping ratio on the system response are studied. The results show that with the increase of fractal dimension D, the uncertainty and the fluctuation amplitude of backlash decrease, and the meshing force decreases. Therefore, the initial tooth surface wear is reduced, and the stability of the system response with a dynamic wear model is improved; with the increase of the friction coefficient, the tooth surface flash temperature rises, and the root mean square value of the vibration displacement of the system amplifies, which indicates that the system tends to be unstable; with the increase of damping ratio, the system changes from unstable quasi-periodic and chaotic motion to the stable periodic motion. The increase of damping accelerates the energy loss of the system and makes the system prone to be stable.

【 授权许可】

Unknown