Radial stiffness analysis of cylindrical roller bearing
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摘要:
为了揭示滚子凸度和轴承转速对圆柱滚子轴承径向刚度的影响规律，采用隐函数微分方法，建立了考虑滚子凸度和轴承转速的圆柱滚子轴承径向刚度解析模型。分析了滚子凸度、轴承转速、径向游隙、径向载荷等因素对轴承径向刚度的影响规律，并与其他文献方法进行比较，验证了所建立解析模型的正确性。研究结果表明：圆柱滚子轴承径向刚度随滚子凸度、径向游隙的增加而减小，随着轴承转速、径向载荷的增加而增加；随着径向载荷的增大，滚子凸度、轴承转速、径向游隙等因素对轴承径向刚度的影响减弱。
Abstract:To reveal the effect of roller convexity and bearing speed on the radial stiffness of cylindrical roller bearing, an analytical model of cylindrical roller bearing radial stiffness considering roller convexity and bearing speed was established. The influences of factors such as roller convexity, bearing speed, radial clearance and radial load on the radial stiffness of the bearing were analyzed. The established model was compared with other literature methods to verify the correctness. The research results showed that the radial stiffness of cylindrical roller bearings decreased with the increase of roller convexity and radial clearance, and increased with the increase of bearing speed and radial load. With the increase of radial load, the influences of roller convexity, bearing speed and radial clearance on the radial stiffness of the bearing were weakened.
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图 1 径向载荷和离心力产生的内滚道中心位移
Figure 1. Displacement of center of inner ring by radial load and centrifugal force
图 8 轴承径向刚度随轴承转速变化曲线
Figure 8. Variation of radial stiffness of bearing with bearing speed
图 9 轴承径向位移及径向刚度随滚子凸度变化曲线
Figure 9. Variation of radial displacement and radial stiffness of bearing with roller convexity
图 10 轴承载荷分布及径向刚度随径向游隙变化曲线
Figure 10. Variation of load distribution and radial stiffness of bearing with radial clearance
图 11 径向载荷和径向游隙对轴承径向刚度的影响
Figure 11. Effect of radial load and radial clearance on radial stiffness of bearing
图 13 径向载荷和滚子凸度对轴承径向刚度的影响
Figure 13. Effect of radial load and roller convexity on radial stiffness of bearing
图 14 径向载荷和轴承转速对轴承径向刚度的影响
Figure 14. Effect of radial load and bearing rotating speed on radial stiffness of bearing
表 1 圆柱滚子轴承A结构参数
Table 1. Structural parameter of cylindrical roller bearing A
参数 数值 滚子个数 13 节圆直径/mm 39 滚子长度/mm 9 滚子有效长度/mm 8.6 滚子直径/mm 7.5 轴承宽度/mm 15 径向间隙/mm 0.04 
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表 2 圆柱滚子轴承B结构参数
Table 2. Structural parameter of cylindrical roller bearing B
参数 数值 滚子个数 14 节圆直径/mm 39 滚子直径/mm 34.8 轴承宽度/mm 58 径向间隙/mm 0.05 滚子最大凸度/mm 0.0045
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表 3 圆柱滚子轴承C结构参数
Table 3. Structural parameter of cylindrical roller bearing C
参数 数值 滚子数目 22 轴承外径/mm 122 轴承内径/mm 82 滚子直径/mm 10 滚子长度/mm 10 滚子有效长度/mm 9
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表 4 圆柱滚子轴承D结构参数
Table 4. Structural parameter of cylindrical roller bearing D
参数 数值 轴承外径/mm 75 轴承内径/mm 55 滚子数目 14 滚子直径/mm 10 滚子长度/mm 10 滚子有效长度/mm 9.6
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