The angular misalignment of cylindrical rollers causes the stress edge effect at roller ends to be aggravated, which would affect bearing capacity and fatigue life of bearings. Therefore, based on the roller angular misalignment, the geometric interference model of the cylindrical contact pair was established in this paper. Thereafter, two types of logarithmic crowning models were theoretically deduced, in which design redundancy was considered through special treatment of pre-pressure. Taking the aero-engine main shaft bearing as an example, contact characteristics of the cylindrical roller with these two logarithmic profiles were studied by the DC-FFT method and the conjugate gradient method (CGM). The results show that two profiles can effectively eliminate the stress edge effect, improve contact pressure distribution and subsurface stress field of the roller in misalignment state, and at the same time ensure fine contact characteristics in alignment state. The research can provide a theoretical basis and reference for finite line contact pairs under angular misalignment.

圆柱滚子的角度未对准会加剧滚子端部的应力边缘效应，从而影响轴承的承载能力和疲劳寿命。因此，基于滚子角不对中，建立了圆柱接触对的几何干涉模型。此后，从理论上推导了两种对数冠状模型，其中通过对预压的特殊处理考虑了设计冗余。以航空发动机主轴轴承为例，通过DC-FFT和共轭梯度法（CGM）研究了圆柱滚子在这两个对数轮廓上的接触特性。结果表明，两个轮廓可以有效消除应力边缘效应，改善了未对准状态下滚子的接触压力分布和表面应力场，同时确保了对准状态下的精细接触特性。该研究可以为角度失准下的有限线接触对提供理论依据和参考。