斜齿圆柱齿轮齿面磨损建模与数值分析

Modeling and Numerical Simulation of Surface Wear for Helical Gears

综合运用Hertz接触理论和Archard磨损公式,建立斜齿圆柱齿轮齿面磨损模型,并对其齿面磨损特性进行数值仿真。仿真表明,理想工况下,斜齿轮副的齿面沿齿宽方向非均匀磨损,其在节圆附近的磨损量最小,在小齿轮靠近齿根部位的磨损量最大。在此基础上,进一步分析负载工况和磨损循环次数对齿面磨损量的影响。分析表明,负载转矩和循环次数对齿面磨损量影响显著。当以减磨延寿为齿轮设计目标时,必须计入负载工况和齿轮寿命的影响。

A surface wear model for helical gears was developed based on Hertz＇contact theory and Archard＇s formula to investigate the wear behaviors of tooth surface numerically. Simulation results show that in the ideal operation conditions, the wear depth distributes unevenly along the tooth lead while varies along the tooth profile. The surface wear depth claims its minimum value at the pitch circle and reaches its maximum value near the tooth root of the pinion. Based on the above analyses, the effects of load level and cycle number on wear depth were further investigated to indicate that the torque load and cycle number influence wear depth significantly. The effects of the operational parameters such as load and cycle number must be considered during helical gear design aimed at slow wear and long life-span.