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三点接触球轴承拟动力学模型分析及验证

唐瑞 高利霞 余丹 李炎军 李贵林

唐瑞, 高利霞, 余丹, 等. 三点接触球轴承拟动力学模型分析及验证[J]. 航空动力学报, 2024, 39(8):20230068 doi: 10.13224/j.cnki.jasp.20230068
引用本文: 唐瑞, 高利霞, 余丹, 等. 三点接触球轴承拟动力学模型分析及验证[J]. 航空动力学报, 2024, 39(8):20230068 doi: 10.13224/j.cnki.jasp.20230068
TANG Rui, GAO Lixia, YU Dan, et al. Analysis and verification of the quasi-dynamic model for the three-point contact ball bearing[J]. Journal of Aerospace Power, 2024, 39(8):20230068 doi: 10.13224/j.cnki.jasp.20230068
Citation: TANG Rui, GAO Lixia, YU Dan, et al. Analysis and verification of the quasi-dynamic model for the three-point contact ball bearing[J]. Journal of Aerospace Power, 2024, 39(8):20230068 doi: 10.13224/j.cnki.jasp.20230068

三点接触球轴承拟动力学模型分析及验证

doi: 10.13224/j.cnki.jasp.20230068
详细信息
    作者简介:

    唐瑞(1992-),男,工程师,硕士,主要从事轴承腔热 -转子系统热-流-固-运动耦合分析研究

  • 中图分类号: V232

Analysis and verification of the quasi-dynamic model for the three-point contact ball bearing

  • 摘要:

    为定量预测与规避双半内圈角接触球轴承三点接触现象,降低轴承异常磨损风险,采用牛顿-欧拉矢量力学方法,结合该轴承结构与受载特点,对双半内圈角接触球轴承内部元件相对位置与速度关系进行了描述,综合考虑轴承各元件相互作用力、运动惯性力、陀螺力矩以及润滑油对轴承元件施加的流体拖动力与挤压力,建立了考虑三点接触情况的双半内圈角接触球轴承拟动态性能分析模型,并完成轴承非线性方程组求解算法优化,且通过与国外成熟软件计算结果和保持架转速试验结果对比,验证了所建立模型的准确性,研究表明,所建立的双半内圈角接触球轴承分析方法对内部接触角分布和应力分布的预测误差小于12%,对于最大接触应力的预测误差小于2%,且对接触痕迹的预测较为准确,对于保持架实际转速的预测误差小于10%,可用于双半内圈角接触球轴承设计优化。

     

  • 图 1  结构几何关系分析

    Figure 1.  Analysis of bearing structure

    图 2  坐标系示意图

    Figure 2.  Schematic diagram of coordinate system

    图 3  滚珠与内圈相对位置

    Figure 3.  Ball location relative to inner race

    图 4  滚珠与内圈相对速度

    Figure 4.  Ball velocity relative to inner race

    图 5  滚珠受力分析

    Figure 5.  Force analysis of ball

    图 6  左内半圈接触角示意图

    Figure 6.  Diagram of contact angle of the left inner ring

    图 7  左内半圈接触应力示意图

    Figure 7.  Diagram of contact stress of the left inner ring

    图 8  右内半圈接触角示意图

    Figure 8.  Diagram of contact angle of the right inner ring

    图 9  右内半圈接触应力示意图

    Figure 9.  Diagram of contact stress of the right inner ring

    图 10  外圈接触角示意图

    Figure 10.  Diagram of contact angle of the outer ring

    图 11  外圈接触应力示意图

    Figure 11.  Diagram of contact stress of the outer ring

    图 12  通过Masta计算的内圈接触痕迹图

    Figure 12.  Diagram of contact traces of the inner ring by Masta

    图 13  通过本文模型计算的内圈接触痕迹图

    Figure 13.  Diagram of contact traces of the inner ring by the model in this paper

    图 14  通过Masta计算的外圈接触痕迹图

    Figure 14.  Diagram of contact traces of the outer ring by Masta

    图 15  通过本文模型计算的外圈接触痕迹图

    Figure 15.  Diagram of contact traces of the outer ring by the model in this paper

    图 16  转速为20000 r/min时接触应力计算结果图

    Figure 16.  Diagram of calculation result of contact stress at rotational speed 20000 r/min

    图 17  转速为20000 r/min时接触应力计算相对误差图

    Figure 17.  Diagram of the relative error of contact stress calculation at rotational speed 20000 r/min

    图 18  转速为10000 r/min时接触应力计算结果图

    Figure 18.  Diagram of calculation result of contact stress at 10000 r/min

    图 19  转速为10000 r/min时接触应力计算相对误差图

    Figure 19.  Diagram of the relative error of contact stress calculation at rotational speed 10000 r/min

    图 20  试验原理图

    Figure 20.  Diagram of test theory

    图 21  当内圈转速为15500 r/min时保持架转速对比图

    Figure 21.  Diagram of cage rotational speed comparison when inner ring rotational speed is 15500 r/min

    图 22  当内圈转速为14400 r/min时保持架转速对比图

    Figure 22.  Diagram of cage rotational speed comparison when inner ring rotational speed is 14400 r/min

    表  1  轴承主要参数

    Table  1.   Main design parameters of bearing

    参数 数值
    节圆直径/mm 140
    轴承内径/mm 100
    轴承外径/mm 180
    滚珠直径/mm 19.05
    滚珠数目 18
    垫片角/(°) 20
    初始接触角/(°) 25
    内圈沟曲率系数 0.54
    外圈沟曲率系数 0.52
    保持架内径/mm 130.1
    保持架外径/mm 146.3
    下载: 导出CSV

    表  2  轴承材料参数

    Table  2.   Material parameters of bearing

    参数 数值
    密度/(kg/m3 7800
    泊松比 0.3
    弹性模量/GPa 209
    下载: 导出CSV

    表  3  轴承工况

    Table  3.   Working condition of bearing

    参数 数值
    内圈转速/(r/min) 20000
    径向载荷/N 6000
    轴向载荷/N 1112
    下载: 导出CSV

    表  4  试验轴承结构参数

    Table  4.   Main parameters of tested bearing

    参数 数值
    节圆直径/mm 165
    轴承内径/mm 130
    轴承外径/mm 200
    滚珠直径/mm 24.606
    滚珠个数 17
    垫片角/(°) 25
    初始接触角/(°) 25
    内圈沟曲率系数 0.525
    外圈沟曲率系数 0.515
    引导间隙/mm 0.6
    兜孔间隙/mm 1.594
    引导方式 外引导
    下载: 导出CSV
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  • 收稿日期:  2023-04-07
  • 网络出版日期:  2024-03-08

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