Contact load analysis of the duplex angular contact ball bearings with local defects
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摘要:
建立了外滚道含局部缺陷的成对角接触球轴承（DACBBs）准静态力学模型，并考虑了缺陷深度、周向宽度以及轴承的时变特性。在此基础上，对纯径向和联合载荷两种工况下局部缺陷的尺寸和位置对DACBBs内部接触载荷的影响进行了系统研究。结果表明：接触载荷对缺陷非常敏感，当左右列轴承分别或共同含局部缺陷时，轴承两列的载荷分布有较大差异。含缺陷的那列轴承载荷分布会产生局部突变现象，突变的幅值和宽度随缺陷尺寸的增大而增大，而不含缺陷的另一列轴承突变很小。另外，成对轴承应视为整体进行研究分析，不同安装方式下，缺陷产生的影响也有较大差异。当前研究对揭示DACBBs的失效机制、可靠性分析以及设计具有重要意义。
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关键词:
- 成对角接触球轴承（DACBBs） /
- 局部缺陷 /
- 接触载荷分布 /
- 接触角分布 /
- 安装方式
Abstract:A quasi-static mechanical model of the duplex angular contact ball bearings (DACBBs) with local defects on the outer raceway was established. The defect depth, circumferential extent and the time-varying characteristic of the bearing were considered. On this basis, the influences of the size and location of local defects on the internal contact load of DACBBs were systematically investigated under pure radial and combined loads. The results showed that the contact load was very sensitive to the local defect. When the left or the right row contained defect or both of them had defects, the load distribution of the two rows was quite different. The load distribution of the row with defect produced a local mutation, and the amplitude and width of the mutation increased with the increase in the defect size. However, the mutation of the other row without defects was very small. In addition, the DACBBs should be considered as a whole for research and analysis. Under different arrangements, the impact of defects was also quite different. The current study has important implications for revealing the failure mechanism, reliability analysis and design of DACBBs.
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图 4 滚动体通过外滚道缺陷的位移分析
Figure 4. Displacement analysis of rolling elements passing through the outer raceway defects
图 6 轴承左列第
$ k $ 个滚动体中心与滚道曲率中心之间的几何关系Figure 6. Geometric relationship between the center of the k-th rolling element in the left column of the bearing and the center of curvature of the raceway
图 8 求解含局部缺陷DACBBs力学模型的算法流程图
Figure 8. Numerical algorithm flow chart for solving the mechanical model of DACBBs with local defects
图 9 左列轴承含缺陷时DB安装DACBBs接触载荷分布
Figure 9. Contact load distribution of the DACBBs with DB configuration when the left row has defect
图 10 左列轴承含缺陷
$\Delta {\psi _{\rm{f}}}$ =5°时DB安装DACBBs接触载荷分布对比Figure 10. Comparison of the contact load distribution of the DACBBs with DB configuration when the left row has defect of
$\Delta {\psi _{\rm{f}}}$ =5°
图 11 左列轴承含缺陷时DF安装DACBBs接触载荷分布
Figure 11. Contact load distribution of the DACBBs with DF configuration when the left row has defect
图 12 右列轴承含缺陷时DB安装DACBBs接触载荷分布
Figure 12. Contact load distribution of the DACBBs with DB configuration when the right row has defect
图 13 右列轴承含缺陷时DF安装DACBBs接触载荷分布
Figure 13. Contact load distribution of the DACBBs with DF configuration when the right row has defect
图 14 左右列轴承均含缺陷时DB安装DACBBs接触载荷分布
Figure 14. Contact load distribution of the DACBBs with DB configuration when the left and the right row have defect
图 15 左右列轴承均含缺陷时DF安装DACBBs接触载荷分布
Figure 15. Contact load distribution of the DACBBs with DF configuration when the left and the right row have defect
图 16 左列轴承含缺陷时DB安装DACBBs接触载荷分布
Figure 16. Contact load distribution of the DACBBs with DB configuration when the left row has defect
图 17 左列轴承含缺陷
$\Delta {\psi _{\rm{f}}}$ =5°时DB安装DACBBs接触载荷分布对比Figure 17. Comparison of the contact load distribution of the DACBBs with DB configuration when the left row has defect of
$\Delta {\psi _{\rm{f}}}$ =5°
图 18 左列轴承含缺陷时DF安装DACBBs接触载荷分布
Figure 18. Contact load distribution of the DACBBs with DF configuration when the left row has defect
图 19 左列轴承含缺陷
$\Delta {\psi _{\rm{f}}}$ =5°时DF安装DACBBs接触载荷分布对比Figure 19. Comparison of the contact load distribution of the DACBBs with DF configuration when the left row has defect of
$\Delta {\psi _{\rm{f}}}$ =5°
图 20 右列轴承含缺陷时DB安装DACBBs接触载荷分布
Figure 20. Contact load distribution of the DACBBs with DF configuration when the right row has defect
图 21 右列轴承含缺陷
$\Delta {\psi _{\rm{f}}}$ =5°时DB安装DACBBs接触载荷分布对比Figure 21. Comparison of the contact load distribution of the DACBBs with DB configuration when the right row has defect of
$\Delta {\psi _{\rm{f}}}$ =5°
图 22 右列轴承含缺陷时DF安装DACBBs接触载荷分布
Figure 22. Contact load distribution of the DACBBs with DF configuration when the right row has defect
图 23 右列轴承含缺陷
$\Delta {\psi _{\rm{f}}}$ =5°时DF安装DACBBs接触载荷分布对比Figure 23. Comparison of the contact load distribution of the DACBBs with DF configuration when the right row has defect of
$\Delta {\psi _{\rm{f}}}$ =5°
图 24 左右列轴承均含缺陷时DB安装DACBBs接触载荷分布
Figure 24. Contact load distribution of the DACBBs with DB configuration when the left and the right row have defect
图 25 左右列轴承均含缺陷时DF安装DACBBs接触载荷分布
Figure 25. Contact load distribution of the DACBBs with DF configuration when the left and the right row have defect
图 26 左右列轴承均含缺陷时DB安装DACBBs的接触角分布
Figure 26. Contact angle distribution of the DACBBs with DB configuration when the left and the right row have defect
图 27 左右列轴承均含缺陷时DF安装DACBBs的接触角分布
Figure 27. Contact angle distribution of the DACBBs with DF configuration when the left and the right row have defect
表 1 7010 AC/DB轴承参数
Table 1. Structural parameters of 7010 AC/DB
参数 数值 节圆直径${d_{\rm{m}}}$/mm 65 左列和右列之间距离${d_{\rm{c}}}$/mm 16 定位预紧${\delta _{\rm{p}}}$/μm 8 滚动体直径$ D $/mm 9 初始接触角$ \alpha $/（°） 25 每列滚动体个数$ Z $ 18 外滚道曲率半径系数${f_{\rm{e}}}$ 0.525 内滚道曲率半径系数${f_{\rm{i}}}$ 0.515 泊松比$ v $ 0.3 弹性模量E/105 MPa 2.06 局部缺陷深度$ {h_0} $/μm 50 
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