Abstract: Based on the static elastic-contact theory，a model to describe the mechanical contact between the roller and the race is established under misalignment and skewing conditions，and the fast Fourier transform (FFT) and the conjugate gradient method are employed to obtain the elastic deformation and the contact stress，respectively．Then，the influences of different parameters on the contact stress distribution are analyzed． The results show that (1) at a constant skewing angle，both the misaligned load effect and the edge effect remarkably improve with the increase of the misalignment angle; (2) at a constant misaligned angle，the skewing phenomenon becomes more obvious with the increase of the skewing angle，and the misalignment angle helps to weaken the edge effect caused by the contact between the roller and the inner race，while the misaligned load effect and the skewing phenomenon both become worse when the roller is contacted with the outer race; and (3) with the increase of the length-to-dia-meter ratio，both the misaligned load effect and the skewing phenomenon become more obvious． In addition，a crowning design method considering both the misalignment and the skewing of the roller is presented to improve the anti-misalignment and anti-skewing ability of roller bearings．

Key words: roller, friction pair, misalignment, skewing, contact stress, crowning design