Abstract
As the rotation of roller bearings is carried out under geometrical constraint of the inner ring, outer ring and multiple rollers, the motion error of the bearing should also be resulted from geometric errors of bearing parts. Therefore, it is crucial to establish the relationship between geometric errors of bearing components and motion error of assembled bearing, which contributes to improve rotational accuracy of assembled bearing in the design and machining of the bearing. For this purpose, considering roundness error and dimension error of the inner raceway, the outer raceway and rollers, a prediction method for rotational accuracy of cylindrical roller bearings is proposed, and the correctness of the proposed prediction method is verified by experimental results. The influences of roller's geometric error distribution, roller's roundness error and the number of rollers on the runout value of inner ring are investigated. The results show that, the roller arrangement with different geometric errors has a significant impact on rotational accuracy of cylindrical roller bearings. The rotational accuracy could be improved remarkably when multiple rollers with different dimension error are distributed alternately according to the size error. Even-order roundness error of rollers has a significant effect on the rotational accuracy, and the decrease level depends on the orders of roundness errors of bearing parts and the number of rollers. But odd-order roundness error of rollers has almost no effect on the rotational accuracy. The rotational accuracy of assembled bearing would be significantly improved or decreased when even order harmonic of rollers and the number of rollers satisfy specific relationships. The greater the order of roundness error of the rollers, the more severe the influence of the roller number on rotational accuracy of assembled bearing. The rotational accuracy can not be always improved with the increase of the number of rollers.
Highlights
As the rotation of roller bearings is carried out under geometrical constraint of the inner ring, outer ring and multiple rollers, the motion error of the bearing should be resulted from geometric errors of bearing parts
It is crucial to establish the relationship between geometric errors of bearing components and motion error of assembled bearing, which contributes to improve rotational accuracy of assembled bearing in the design and ma⁃ chining of the bearing
For this purpose, considering roundness error and dimension error of the inner raceway, the outer raceway and rollers, a prediction method for rotational accuracy of cylindrical roller bearings is proposed, and the correctness of the proposed prediction method is verified by experimental results
Summary
式中, θi 为在 xioiyi 坐标系下内圈滚道轮廓上任一 点的位置角;θe 为在 XOY 坐标系下外圈滚道轮廓上 任一点的位置角;θrj 为在 xrjorjyrj 坐标系下滚子轮廓 上任一点的位置角;di,de 和 D 分别为内圈滚道、外 圈滚道和滚子直径;Cin,Cen 和 Crjn 分别为内圈滚道、 外圈滚道和第 j 个滚子表面轮廓第 n 阶谐波幅值; ψin,ψen 和 ψrjn 分别为内圈滚道、外圈滚道和第 j 个滚 子表面轮廓第 n 阶谐波初始相位角。 LCorj;联立(6) 式和(13) 式可计算出第 j 个滚子表面 D 点的轮廓半径 LDorj;利用(11) 式可计算出内圈滚 道上任一点 C 与滚子表面上任一点 D 的距离 LCD;当 Δθi 在一定范围内变化时,在内圈滚道上存在一个 C 点,滚子表面上存在一个 D 点,使 C 点到 D 点的距离 从图 10 看出,当滚子个数为偶数时,滚子表面 圆度误差偶数阶次等于 nZ( n = 1,2,3,...) ,轴承内 圈跳动量取得极大值;滚子表面圆度误差偶数阶次 等于(2n - 1)Z / 2(Z / 2 为偶数时) 或(2n - 1)Z / 2 ± 1(Z / 2 为奇数时),轴承内圈跳动量取得极小值。 当 滚子个数为奇数时,滚子表面圆度误差偶数阶次等
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