基于AK-IS法的航空齿轮泵滑动轴承可靠性分析

高宁; 李华聪; 洪林雄; 曹瑞; 符江锋

doi:10.13700/j.bh.1001-5965.2020.0713

基于AK-IS法的航空齿轮泵滑动轴承可靠性分析

doi: 10.13700/j.bh.1001-5965.2020.0713

西北工业大学动力与能源学院, 西安 710072

基金项目:

国家科技重大专项 2017-V-0013-0065

详细信息

通讯作者:
李华聪，E-mail: lihuacong@nwpu.edu.cn

中图分类号: TH113.2; TB115
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- 被引次数: 0
出版历程
- 收稿日期: 2020-12-26
- 录用日期: 2021-05-07
- 网络出版日期: 2022-06-20
- 整期出版日期: 2022-06-20

Reliability analysis of journal bearings inside aero-gear pump based on AK-IS method

College of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, China

Funds:

National Science and Technology Major Project 2017-V-0013-0065

More Information

Corresponding author: LI Huacong, E-mail: lihuacong@nwpu.edu.cn

摘要

摘要:
为研究高转速、低介质黏度运行的航空齿轮泵滑动轴承动压润滑可靠性，通过将Reylonds润滑方程与影响矩阵耦合，建立了考虑轴瓦弹性变形的航空齿轮泵滑动轴承弹流润滑(EHL)模型。考虑滑动轴承尺寸公差和运行工况等引起的不确定性，将与滑动轴承润滑特性密切相关的动压润滑的压力峰值作为可靠性判据，采用自适应Kriging和重要抽样法相结合的AK-IS法对滑动轴承动压润滑特性进行了可靠性及灵敏度计算。研究结果表明：考虑轴瓦弹性变形的压力峰值比刚性轴瓦压力峰值降低15.04%，表明滑动轴承弹流润滑对轴承动压润滑的影响不能忽略；基于AK-IS法的航空齿轮泵滑动轴承动压润滑可靠性分析具有准确性和高效性；各不确定因素对动压润滑可靠性的影响程度不同，其中轴承的半径间隙对可靠性最敏感，转速对可靠性最不敏感。
- 航空齿轮泵 /
- 滑动轴承 /
- 弹流润滑(EHL) /
- AK-IS法 /
- 可靠性分析
Abstract:
To study the hydrodynamic lubrication reliability of journal bearings inside aero-gear pumps running at high speed and with low medium viscosity, an elastohydrodynamic lubrication (EHL) model considering elastic deformation of bearing bush is established by coupling Reynolds lubrication equation with influence matrix. Considering the uncertainty caused by the size tolerance and operating conditions of journal bearings, the peak pressure of hydrodynamic lubrication, which is closely related to the lubrication characteristics of journal bearings, is taken as the reliability criterion. The AK-IS method combining adaptive Kriging and importance sampling is used to calculate the reliability and sensitivity of the hydrodynamic lubrication characteristics of journal bearings. The results show that considering bearing deformation, the pressure peak value of journal bearings is 15.04% lower than that of rigid bearings, and hence the influence of EHL on hydrodynamic lubrication of bearings cannot be neglected. The results also show the accuracy and efficiency of the AK-IS based reliability analysis of hydrodynamic lubrication of journal bearings. Moreover, the degree of the effect of various uncertainties on the reliability of hydrodynamic lubrication is different, with the radius clearance of bearings being the most sensitive to reliability, and the rotational speed the least.
- aero-gear pump /
- journal bearing /
- elastohydrodynamic lubrication (EHL) /
- AK-IS method /
- reliability analysis

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图 1 航空齿轮泵滑动轴承三维模型

Figure 1. 3D model of journal bearing of aero-gear pump

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图 2 单位力作用下节点的弹性变形

Figure 2. Elastic displacements of bearing loaded by 1 N

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图 3 AK-IS法计算可靠性流程

Figure 3. Reliability calculation process of AK-IS method

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图 4 构建h_X(x)的示意图

Figure 4. Schematic diagram of construction h_X(x)

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图 5 轴承变形

Figure 5. Bearing deformation

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图 6 弹流动压润滑压力分布及压力峰值

Figure 6. Pressure distribution and pressure peak value of EHL

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图 7 周向油膜压力分布对比

Figure 7. Comparison of circumferential oil film pressure distribution

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表 1 滑动轴承随机变量分布参数

Table 1. Random variable distribution parameters of journal bearing

参数	分布形式	平均值	标准差
轴承宽度B/mm	Normal	30	0.011
齿轮轴半径R/mm	Normal	9.97	0.01
半径间隙C/mm	Normal	0.03	0.005
转速n/(r·min^-1)	Normal	7 000	500
介质黏度η/(Pa·s)	Normal	9.66×10^-4	0.1
偏心率ε	Normal	0.8	0.01

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表 2 滑动轴承可靠度计算结果

Table 2. Calculation resucts of reliability of sliding bearing

方法	N_call	N	/10^-4	ξ/%
MCS	10⁷		3.22	0
IS	10³		3.230 2	0.317
AK-MCS	200	1 290 000	3.233 2	0.41
AK-IS	49	11 000	3.233 9	0.432

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表 3 滑动轴承灵敏度计算结果

Table 3. Calculation of results of sensitivity analysis of sliding bearing

参数	数值	参数	数值
∂P_f/∂μ_B	1.55×10^-2	∂P_f/∂σ_B	7.68×10^-6
∂P_f/∂μ_R	0.261	∂P_f/∂σ_R	1.97×10^-3
∂P_f/∂μ_C	-2.32×10²	∂P_f/∂σ_C	7.78×10²
∂P_f/∂μ_n	2.15×10^-7	∂P_f/∂σ_n	6.66×10^-8
∂P_f/∂μ_η	1.422 476	∂P_f/∂σ_η	0.625
∂P_f/∂μ_ε	0.012 163	∂P_f/∂σ_ε	3.57×10^-3

下载: 导出CSV

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