为揭示表面粗糙度对深沟球轴承弹塑性接触性能的影响，根据该轴承的载荷分布，把滚动体与内滚道接触转变为二次型函数极值问题，并建立考虑表面粗糙度的该轴承弹塑性接触模型，运用半解析法对该模型进行求解，获得了计入表面粗糙度影响的深沟球轴承弹塑性接触性能。数值结果表明：表面粗糙度会使内滚道宽度方向两端处的局部压力减小，同时使内滚道接触压力、von Mises应力、残余应力和残余变形的幅值较光滑情况时增大；同时表面粗糙度导致深沟球轴承中内滚道接触压力和残余变形分布发生波动，易使内滚道次表面产生应力集中，进而影响轴承整体使用寿命。

To reveal the effect of surface roughness on elastoplastic contact performances for a deep groove ball bearing, the contact between the rolling element and inner raceway is reduced as the extremum problem of a quadratic function based on the load distribution of this kind of bearings. The elastoplastic contact model for a rough deep groove ball bearing is modeled, and solved with the proposed semi-analytical method so as to obtain the elastoplastic contact performance for the bearing. Numerical results show that the surface roughness yields decrements in the pressure peaks at the two contact endpoints along the inner raceway's width direction. Meanwhile, the maximum contact pressure, von Mises stress, and residual stress and deformation for the inner raceway are all larger than the corresponding values for the smooth situation. Moreover, the roughness also causes fluctuating distributions of contact pressure and residual deformation, and brings out a stress concentration at the inner raceway's subsurface, which can lead to a decay of the bearing lifetime.

国家自然科学基金资助项目（51775067）；中央高校基本科研业务费专项资金资助项目（106112016CDJZR288805）。