Grinding and shot peening produce large residual stresses on the gear teeth. Research on the calculation of contact stress and fatigue life of rough gear teeth considering the residual stress has not been published in the literature. The influence of residual stress and rough surface on contact fatigue is difficult to be ignored, so the research of the paper is of significance. Based on the finite element modeling method of rough surface contact and multiaxial fatigue criterion, the gear contact stress and fatigue life under the action of rough surface and residual stress is obtained. The study found that residual compressive stress can reduce the high stress area of the near-surface and lead to a low-stress area between the near-surface and the sub-surface. In addition, residual compressive stress can reduce the near-surface fatigue failure depth (NFFD) and make the sub-surface fatigue failure area tend to be deeper while increasing the contact stiffness of the tooth surface. The logarithmic value log₁₀(2N_f) of the sub-surface fatigue life is quantitatively related to the roughness Sq and the residual stress amplitude σ_rs, and the fitting polynomial of the three variables is obtained, which provides a theoretical reference for the prediction and calculation of the contact fatigue life of the tooth sub-surface.

磨削和喷丸在轮齿上产生很大的残余应力。考虑残余应力的粗齿轮齿接触应力和疲劳寿命计算研究尚未见文献发表。残余应力和粗糙表面对接触疲劳的影响是不可忽视的，因此本文的研究具有重要意义。基于粗糙面接触和多轴疲劳准则的有限元建模方法，得到了粗糙面和残余应力作用下的齿轮接触应力和疲劳寿命。研究发现，残余压应力可以减少近地表的高应力区，导致近地表与次地表之间的低应力区。此外，残余压应力可以降低近表面疲劳失效深度（NFFD），使亚表面疲劳失效区域趋于更深，同时增加齿面的接触刚度。对数值 log₁₀ (2 N _f ) 的亚表面疲劳寿命与粗糙度Sq和残余应力幅值σ _rs定量相关，得到了三个变量的拟合多项式，为预测计算提供了理论参考。齿次表面的接触疲劳寿命。