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基于系统PSN曲线的齿轮箱疲劳可靠度评估

马洪义 谢里阳

马洪义, 谢里阳. 基于系统PSN曲线的齿轮箱疲劳可靠度评估[J]. 北京航空航天大学学报, 2018, 44(5): 975-981. doi: 10.13700/j.bh.1001-5965.2017.0378
引用本文: 马洪义, 谢里阳. 基于系统PSN曲线的齿轮箱疲劳可靠度评估[J]. 北京航空航天大学学报, 2018, 44(5): 975-981. doi: 10.13700/j.bh.1001-5965.2017.0378
MA Hongyi, XIE Liyang. Assessment of gearbox fatigue reliability based on system PSN curve[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(5): 975-981. doi: 10.13700/j.bh.1001-5965.2017.0378(in Chinese)
Citation: MA Hongyi, XIE Liyang. Assessment of gearbox fatigue reliability based on system PSN curve[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(5): 975-981. doi: 10.13700/j.bh.1001-5965.2017.0378(in Chinese)

基于系统PSN曲线的齿轮箱疲劳可靠度评估

doi: 10.13700/j.bh.1001-5965.2017.0378
基金项目: 

国家自然科学基金 51335003

详细信息
    作者简介:

    马洪义 男, 博士研究生。主要研究方向:机械系统可靠度评估

    谢里阳 男, 博士, 教授, 博士生导师。主要研究方向:机械系统可靠度评估、疲劳与断裂失效分析

    通讯作者:

    谢里阳, E-mail: lyxie@mail.neu.edu.cn

  • 中图分类号: V215.5+2;TH132.4

Assessment of gearbox fatigue reliability based on system PSN curve

Funds: 

National Natural Science Foundation of China 51335003

More Information
  • 摘要:

    蒙特卡罗方法可以准确评估复杂机械系统疲劳共因失效概率,但效率偏低,因此提出系统PSN曲线的概念和基于此概念的系统可靠度蒙特卡罗评估方法。在给定的恒幅载荷下,基于同一零件的疲劳寿命在不同应力水平下的概率分位点具有一致性的原则,对系统中零件PSN曲线进行随机抽取;根据线性累积损伤法则和相应的系统可靠度模型,得到齿轮传动的恒幅载荷下的疲劳寿命分布,拟合恒幅载荷与寿命分布之间的关系得到系统PSN曲线。将系统视为一个零件,完成"零件"-"系统"-"零件"的寿命分析过程。通过损伤等效原则,将随机载荷下的复杂串联系统可靠度评估问题转化为恒幅载荷下零件的可靠度评估问题。

     

  • 图 1  齿轮箱传动原理图

    Figure 1.  Schematic of gearbox transmission

    图 2  零件PSN曲线

    Figure 2.  PSN curves of components

    图 3  齿轮传动系统可靠度仿真流程

    Figure 3.  Gear transmission system reliability simulation process

    图 4  基于零件PSN,随机载荷下齿轮系统寿命概率分布

    Figure 4.  Gear system life probability distribution under random load based on component PSN

    图 5  各级恒幅扭矩下齿轮系统寿命及统计矩

    Figure 5.  Gear system life and statistical moment under various constant torque

    图 6  齿轮系统各级扭矩下对数寿命分布正态拟合

    Figure 6.  Normal fitting of gear system logarithmic life distribution under various torque

    图 7  齿轮系统PSN曲线

    Figure 7.  Gear system PSN curves

    图 8  齿轮串联系统寿命分布

    Figure 8.  Life distribution of gear series system

    表  1  齿轮箱零件参数

    Table  1.   Gearbox component parameters

    参数 太阳轮 行星轮 内齿圈 齿轮4 齿轮5 齿轮6 齿轮7
    Z 21 38 99 84 23 92 24
    Mn 10 10 10 8 8 5 5
    αn/(°) 20 20 20 20 20 20 20
    β/(°) 7.5 7.5 7.5 14 14 14 14
    αt′/(°) 22.6 22.6 22.6 21.5 21.5 21.5 21.5
    下载: 导出CSV

    表  2  齿面接触应力

    Table  2.   Gear surface contact stress

    啮合齿轮 太阳轮/行星轮 行星轮/内齿圈 齿轮1/齿轮2 齿轮3/齿轮4
    σH/MPa 0.052 1 0.022 5 0.030 9 0.031 6
    下载: 导出CSV

    表  3  各级恒幅扭矩下齿轮系统寿命统计及统计矩

    Table  3.   Gear system life andstatistics moment under various constant torque

    输入轴扭矩/(108 N·mm) 寿命标准差/cycle 寿命均值/cycle
    2 3.3×105 6.6×105
    3 6.2×104 1.1×105
    5 4.2×103 1.2×104
    6 2.2×103 5.9×103
    下载: 导出CSV

    表  4  3种方法寿命特征值比较

    Table  4.   Comparison of characteristic life of three methods

    方法 系统寿命均值/(104cycle) 系统寿命标准差/(104cycle) 以a为参照的均值相对误差/% 以a为参照的标准差相对误差/%
    a 9.8 4.0 0 0
    b 9.5 3.5 3.1 12.5
    c 11 5.3 12.2 32.5
    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-06-05
  • 录用日期:  2017-07-07
  • 网络出版日期:  2018-05-20

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