Since the rotary motion of a rolling bearing is implemented by bearing components under geometric constraints, the motion accuracy of an assembled bearing should also be the result of interaction among geometric errors of bearing components. Therefore, it is significant to understand the relationship between the geometric errors of bearing components and motion accuracy of an assembled bearing for the design of high accuracy bearing. Based on quasi-static analytical method, a mathematical model for motion error of cylindrical roller bearings is established considering the roundness error of outer raceway. The motion error of a rolling bearing is affected by the amplitude and harmonic order of the roundness error of outer raceway, number of rollers and the operating conditions such as radial load, rotary speed of outer ring. The effects of above parameters are analyzed. The results show that the motion accuracy of a cylindrical roller bearing degrades with the increase of amplitude of the roundness error of outer raceway and the rotary speed of outer ring. The variation of the radial displacement of outer ring varies periodically with the increase of the harmonic order of the roundness error of outer raceway, and its period is equal to the roller number. With the increase of the roller number, the variation of radial displacement of the outer ring fluctuates. The larger the radial load is, the smaller the variation of radial displacement of outer ring is. The results would be helpful to reduce the production costs by controlling the distribution of machining tolerance of bearing components.

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