Reliability estimation for aircraft hydraulic pump based on bivariate performance degradation analysis
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摘要:
飞机液压泵为飞机操纵、起落架收放和刹车提供高压能源,其安全性和可靠性至关重要。针对飞机液压泵二维退化可靠性评估问题,构建了基于液压泵微观表面混合润滑的转子-配流盘摩擦副和轴尾密封副的摩擦磨损退化模型,基于统一随机过程模型描述2个性能指标的退化规律,利用Copula函数表征二维性能退化的相关关系,使用贝叶斯马尔可夫链蒙特卡罗法得到其考虑二元相关退化模型的未知参数估计,进而对飞机液压泵进行了可靠性评估。通过液压泵回油流量及轴尾密封摩擦力矩2个性能退化指标的实际退化数据,验证了所提出的理论和方法。结果表明,考虑2个性能退化指标相关的退化模型有效提高了可靠性评估及寿命预测精度。
Abstract:An Aircraft hydraulic pump provides high-pressure energy for aircraft manipulation, landing gear retraction and braking. Maintaining its reliability and safety is critical. In this paper, we construct a mixed lubrication wear degradation model based on the micro topography for rotor-valve plate friction pairs and axial pump mechanical seals. The unified stochastic process model is used to describe the degradation process of these two degradation performance indicators, Copula functions are used to describe the dependent relationships between two performance indicators. Bayesian Markov chain Monte Carlo method is used to estimate unknown parameters in the degradation model considering two dependent performance indicators. The results of the estimation are then utilized to conduct reliability evaluations for aircraft hydraulic pumps. The proposed theory and method were verified through real degradation test data of return oil flow for hydraulic pumps and friction torque for mechanical seals. The results show that the degradation model considering two dependent performance indicators can increase the accuracy of reliability estimation and lifetime prediction.
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表 1 统一随机过程模型定义
Table 1. Definition of unified stochastic process model
模型 α(t) β(t) 维纳过程 μΛ(t) σ2Λ(t) 逆高斯过程 μΛ(t) 伽马过程 表 2 模型中未知参数估计结果
Table 2. Estimation results for unknown parameters in degradation model
性能指标 μ σ q X1 1.189 0.528 1.027 X2 1.098 0.171 9 1.069 注:相关系数θ=0.874 0。 -
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