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含局部缺陷的成对角接触球轴承接触载荷分析

许恩典 徐腾飞 杨利花 李子航 胡禧龙 王浩泽

许恩典, 徐腾飞, 杨利花, 等. 含局部缺陷的成对角接触球轴承接触载荷分析[J]. 航空动力学报, 2024, 39(9):20220443 doi: 10.13224/j.cnki.jasp.20220443
引用本文: 许恩典, 徐腾飞, 杨利花, 等. 含局部缺陷的成对角接触球轴承接触载荷分析[J]. 航空动力学报, 2024, 39(9):20220443 doi: 10.13224/j.cnki.jasp.20220443
XU Endian, XU Tengfei, YANG Lihua, et al. Contact load analysis of the duplex angular contact ball bearings with local defects[J]. Journal of Aerospace Power, 2024, 39(9):20220443 doi: 10.13224/j.cnki.jasp.20220443
Citation: XU Endian, XU Tengfei, YANG Lihua, et al. Contact load analysis of the duplex angular contact ball bearings with local defects[J]. Journal of Aerospace Power, 2024, 39(9):20220443 doi: 10.13224/j.cnki.jasp.20220443

含局部缺陷的成对角接触球轴承接触载荷分析

doi: 10.13224/j.cnki.jasp.20220443
基金项目: 航空发动机及燃气轮机重大专项(J2019-Ⅳ-0021-0089); 国家自然科学基金(11872288)
详细信息
    作者简介:

    许恩典(1997-),男,硕士生,主要从事航空发动机含局部故障滚动轴承研究

    通讯作者:

    杨利花(1975-),女,教授、博士生导师,博士,主要从事滑动轴承及转子动力学研究。E-mail:yanglihua_2@126.com

  • 中图分类号: V229+.2;TH133

Contact load analysis of the duplex angular contact ball bearings with local defects

  • 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。

     

  • 图 1  DACBBs受力及位移

    Figure 1.  Force and displacement of DACBBs

    图 2  DACBBs安装方式

    Figure 2.  DACBBs configurations

    图 3  DACBBs的局部缺陷位置

    Figure 3.  Local defect locations in DACBBs

    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 5  DACBBs内部几何约束关系

    Figure 5.  Internal geometric constraints of DACBBs

    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 7  $ k $个滚动体受力

    Figure 7.  Forces on the k-th rolling element

    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${d_{\rm{m}}}$/mm65
    左列和右列之间距离${d_{\rm{c}}}$/mm16
    定位预紧${\delta _{\rm{p}}}$/μm8
    滚动体直径$ D $/mm9
    初始接触角$ \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 $0.3
    弹性模量E/105 MPa2.06
    局部缺陷深度$ {h_0} $/um50
    下载: 导出CSV
  • [1] LIU Jing,SHAO Yimin. Overview of dynamic modelling and analysis of rolling element bearings with localized and distributed faults[J]. Nonlinear Dynamics,2018,93(4): 1765-1798. doi: 10.1007/s11071-018-4314-y
    [2] CAO Hongrui,NIU Linkai,XI Songtao,et al. Mechanical model development of rolling bearing-rotor systems: a review[J]. Mechanical Systems and Signal Processing,2018,102: 37-58. doi: 10.1016/j.ymssp.2017.09.023
    [3] TONG V C,HONG S W. Analysis of the stiffness and fatigue life of double-row angular contact ball bearings[J]. Journal of the Korean Society for Precision Engineering,2017,34(11): 813-821. doi: 10.7736/KSPE.2017.34.11.813
    [4] GUNDUZ A,SINGH R. Stiffness matrix formulation for double row angular contact ball bearings: analytical development and validation[J]. Journal of Sound and Vibration,2013,332(22): 5898-5916. doi: 10.1016/j.jsv.2013.04.049
    [5] JONES A B. A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions[J]. Journal of Basic Engineering,1960,82(2): 309-320. doi: 10.1115/1.3662587
    [6] HARRIS T A. Rolling bearing analysis: essential concepts of bearing technology[M]. New York: CRC, 2007.
    [7] CAO Yuzhong,ALTINTAS Y. A general method for the modeling of spindle-bearing systems[J]. Journal of Mechanical Design,2004,126(6): 1089-1104. doi: 10.1115/1.1802311
    [8] ZHANG Xuening,HAN Qinkai,PENG Zhike,et al. A new nonlinear dynamic model of the rotor-bearing system considering preload and varying contact angle of the bearing[J]. Communications in Nonlinear Science and Numerical Simulation,2015,22(1/2/3): 821-841.
    [9] SHENG Xia,LI Beizhi,WU Zhouping,et al. Calculation of ball bearing speed-varying stiffness[J]. Mechanism and Machine Theory,2014,81: 166-180. doi: 10.1016/j.mechmachtheory.2014.07.003
    [10] PETERSEN D,HOWARD C,PRIME Z. Varying stiffness and load distributions in defective ball bearings: Analytical formulation and application to defect size estimation[J]. Journal of Sound and Vibration,2015,337: 284-300. doi: 10.1016/j.jsv.2014.10.004
    [11] 丁为民,潘帅航,张执南. 含缺陷滚动轴承内部载荷分布[J]. 机械设计与研究,2016,32(4): 79-84. doi: 10.13952/j.cnki.jofmdr.2016.0146

    DING Weimin,PAN Shuaihang,ZHANG Zhinan. Load distribution of rolling bearing with localized defect[J]. Machine Design and Research,2016,32(4): 79-84. (in Chinese) doi: 10.13952/j.cnki.jofmdr.2016.0146
    [12] LI Xu,YU Kun,MA Hui,et al. Analysis of varying contact angles and load distributions in defective angular contact ball bearing[J]. Engineering Failure Analysis,2018,91: 449-464. doi: 10.1016/j.engfailanal.2018.04.050
    [13] CHENG Hongchuan,ZHANG Yimin,LU Wenjia,et al. Research on time-varying stiffness of bearing based on local defect and varying compliance coupling[J]. Measurement,2019,143(5): 155-179.
    [14] GAO Shuai,CHATTERTON S,PENNACCHI P,et al. Behaviour of an angular contact ball bearing with three-dimensional cubic-like defect: a comprehensive non-linear dynamic model for predicting vibration response[J]. Mechanism and Machine Theory,2021,163(9): 104376.1-104376.24.
    [15] BERCEA I,NELIAS D,CAVALLARO G. A unified and simplified treatment of the non-linear equilibrium problem of double-row rolling bearings: Part 1 rolling bearing model[J]. Journal of Engineering Tribology,2003,217(3): 205-212.
    [16] XU Tengfei,YANG Lihua,WANG Kai. Characteristics of duplex angular contact ball bearing with combined external loads and angular misalignment[J]. Applied Sciences,2020,10(17): 5756.1-5756.25.
    [17] XU Tengfei,YANG Lihua,WU Wei,et al. Effect of angular misalignment of inner ring on the contact characteristics and stiffness coefficients of duplex angular contact ball bearings[J]. Mechanism and Machine Theory,2021,157(2): 104178.1-104178.22.
    [18] LIN Shengye,JIANG Shuyun. Study of the stiffness matrix of preloaded duplex angular contact ball bearings[J]. Journal of Tribology,2019,141(3): 032204.1-032204.13.
    [19] LIN Shengye,JIANG Shuyun. Dynamic characteristics of motorized spindle with tandem duplex angular contact ball bearings[J]. Journal of Vibration and Acoustics,2019,141(6): 061004.1-061004.12.
    [20] PETERSEN D,HOWARD C,SAWALHI N,et al. Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects[J]. Mechanical Systems and Signal Processing,2015,50: 139-160.
    [21] PARMAR V,SARAN V H,HARSHA S P. Effect of dynamic misalignment on the vibration response, trajectory followed and defect-depth achieved by the rolling-elements in a double-row spherical rolling-element bearing[J]. Mechanism and Machine Theory,2021,162(8): 104366.1-104366.22.
    [22] ZHANG Jinhua,FANG Bin,HONG Jun,et al. A general model for preload calculation and stiffness analysis for combined angular contact ball bearings[J]. Journal of Sound and Vibration,2017,411: 435-449. doi: 10.1016/j.jsv.2017.09.019
    [23] ZHANG Jinhua,FANG Bin,HONG Jun,et al. Effect of preload on ball-raceway contact state and fatigue life of angular contact ball bearing[J]. Tribology International,2017,114: 365-372. doi: 10.1016/j.triboint.2017.04.029
    [24] XU Tengfei,YANG Lihua,WU Wei,et al. The stiffness characteristics analysis of the duplex angular contact ball bearings based on a comprehensive multi-degree-of-freedom mathematical model[J]. Applied Mathematical Modelling,2022,106: 601-626. doi: 10.1016/j.apm.2022.02.017
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  • 收稿日期:  2022-06-21
  • 网络出版日期:  2022-12-12

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