High-speed rolling bearing lubrication reliability analysis based on probability box model基于概率盒模型的高速滚动轴承润滑可靠性分析
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Yao QS, Dai L, Tang JC, Wu HT, Liu T, 2024. High-speed rolling bearing lubrication reliability analysis based on probability box model. Probabilistic Engineering Mechanics, 76: 103612.DOI: 10.1016/j.probengmech.2024.103612
摘要 | Abstract
本文提出了一种基于概率盒 (probability box, p-box) 模型的高效高精度方法，用于分析和评估高速滚动轴承的润滑可靠性。该方法扩展了固有和认知混合不确定性分析在轴承润滑可靠性领域的应用。首先，方法建立了高速滚动轴承润滑的可靠性模型，并通过 Γубин 型入口区的解析解考虑了剪切热效应。随后，研究了高速情形下润滑参数的不确定性，并使用概率盒模型准确表征其固有和认知混合不确定性。此外，本文引入了一种基于概率盒模型的有效精确滚动轴承润滑可靠性分析方法，其中涉及的优化模型通过解耦方法高效求解。最后，对高速滚动轴承进行了润滑可靠性分析和参数不确定性水平的灵敏度分析。研究结果表明，所提方法在精度和效率方面具有更好的表现。关键词: 高速滚动轴承; 润滑; 混合不确定性; 可靠性分析; 概率盒An efficient and high-precision method is proposed for the analysis and evaluation of high-speed rolling bearing lubrication reliability based on a probability box (p-box) model. This method expands the application of mixed aleatory and epistemic uncertainties analysis within the realm of bearing lubrication reliability. Initially, the method establishes a reliability model for high-speed rolling bearing lubrication, taking into account the shear thermal effect through the analytical solution of a Γубин-type entrance zone. Subsequently, the uncertainty surrounding lubrication parameters under high-speed conditions is examined, with its mixed aleatory and epistemic uncertainties accurately depicted by using the p-box model. Furthermore, an effective and precise method for analyzing the reliability of rolling bearing lubrication is introduced based on the p-box model, in which the optimization model involved is efficiently solved using a decoupling method. Finally, lubrication reliability analysis and sensitivity analysis of parameter uncertainty levels are conducted for high-speed rolling bearings in this study. The research results demonstrate that the proposed method achieves higher accuracy and efficiency.Keywords: High-speed rolling bearing; Lubrication; Mixed uncertainties; Reliability analysis; Probability box (p-box)![]()
Fig. 1. Schematic diagram of Hertzian point contact for rolling bearings
图 2: Hertz 点接触区域的变形图与油膜形状Fig. 2. Deformation map and oil film shape in the zone at Hertzian points contact
Fig. 3. Variation of correction factor with thermal load factor
Fig. 4. Relationship between lubrication status and film thickness ratio
Fig. 5. Digital simulation of surface roughness
Fig. 6. Film thickness roughness interference curve
Fig. 7. P-box representation of the uncertainty variable P
Fig. 8. Schematic diagram of the limit state band
图 9: 不确定性变量的概率盒: (a) 初始动力黏度的概率盒; (b) 运动方向等效曲率半径的概率盒; (c) 最大接触荷载的概率盒Fig. 9. P-box for uncertain variables: (a) P-box of η; (b) P-box of R_x; (c) P-box of F_max
图 10: 初始动力黏度标准差参数对可靠性的影响: (a) 初始动力黏度标准差对最小可靠性指标的影响; (b) 初始动力黏度标准差对最大失效概率的影响Fig. 10. Influence of standard deviation parameters of η on reliability (σ_σ_0 = 0.1): (a) Influence of standard deviation of η on minimum reliability index; (b) Influence of standard deviation of η on maximum failure probability
图 11: 粗糙度均方根误差标准差参数对可靠性的影响: (a) 粗糙度均方根误差标准差对最小可靠性指标的影响; (b) 粗糙度均方根误差标准差对最大失效概率的影响Fig. 11. Influence of standard deviation parameters of σ_0 on reliability (σ_η = 0.005): (a) Influence of standard deviation of σ_0 on minimum reliability index; (b) Influence of standard deviation of σ_0 on maximum failure probability
作者信息 | Authors
湖南工业大学 (Hunan University of Technology) 机械工程学院
湖南工业大学 (Hunan University of Technology) 机械工程学院
唐嘉昌 Jia-Chang Tang, 通讯作者 (Corresp.) 湖南工业大学 (Hunan University of Technology) 机械工程学院Email: tangjiachang@hut.edu.cn
湖南工业大学 (Hunan University of Technology) 机械工程学院
湖南工业大学 (Hunan University of Technology) 机械工程学院
律梦泽 M.Z. Lyu | 编辑 (Ed)
P.D. Spanos | 审校 (Rev)
陈建兵 J.B. Chen | 审校 (Rev)
彭勇波 Y.B. Peng | 审校 (Rev)
