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可靠性寿命高效分析方法及在涡轮轴中的应用OA

Efficient analysis method of reliability lifetime and its application in turbine shaft

中文摘要英文摘要

为保证航空结构的安全服役,有必要分析极小目标失效概率约束下的可靠性寿命.然而,现有分析方法的计算效率难以满足工程中高可靠性要求下寿命分析需求.为此,提出一种基于首次失效时刻的序列分层重要抽样可靠性寿命分析方法.首先,建立序列分层探索极小目标失效概率对应的稀有失效域的策略,将稀有失效域的探索问题转换为逐步探索一系列概率从大到小的失效域问题,降低获取稀有失效域信息的难度.然后,提出分层构建显式规则重要抽样密度函数的方法,降低稀有失效域内重要抽样样本获取的难度和计算量,提升可靠性寿命分析的计算效率.最后,为了减小时变功能函数的调用次数,将Kriging代理模型嵌入提出的序列分层重要抽样方法中,并设计首次失效时刻误判引导的自适应更新策略,增强序列分层重要抽样方法求解极小目标失效概率约束下的可靠性寿命的效率.结果表明:对于测试函数,所提方法与现有先进方法相比,功能函数调用次数和计算耗时分别最多减少了 45.4%和99.6%;对于某型航空发动机涡轮轴结构,所提方法与现有先进方法相比,功能函数调用次数和计算耗时分别最多减少了 40.2%和90.7%.

In order to ensure the safe service of aero structure,it is of great significance to evaluate the reliability life-time under the constraint of extremely small target failure probability.However,the computational efficiency of the ex-isting reliability lifetime analysis methods is difficult to meet the requirements of reliability lifetime analysis under high re-liability requirements in engineering effectively.For this issue,a sequential stratified importance sampling method based on the first failure instant is proposed to solve reliability lifetime.Firstly,a sequential stratified exploration strat-egy for the rare failure domain with the extremely small target failure probability is established,which transforms the exploration problem of the rare failure domain into a gradual exploration problem of a series of failure domains with large probabilities,and it can effectively reduce the difficulty of obtaining the rare failure domain information.Secondly,the method for hierarchically constructing the explicit rule importance sampling density function is proposed to reduce the difficulty and computational complexity of obtaining the importance sample in the rare failure domain,which im-proves the computational efficiency for solving the reliability lifetime.Finally,in order to reduce the number of model evaluations,the Kriging surrogate model is embedded into the proposed sequential stratified importance sampling method,and an adaptive update strategy guided by misjudgment of the first failure instant is designed,which improve the efficiency of the sequential stratified importance sampling method to solve the reliability lifetime under the constraint of the extremely small target failure probability.The results show that,for the test function,the proposed method re-duces the number of model evaluations and computational time by up to 45.4%and 99.6%,respectively,compared with the state-of-the-art methods.For a certain type of aero-engine turbine shaft structure,the proposed method re-duces the number of model evaluations and computational time by up to 40.2%and 90.7%,respectively,compared with the state-of-the-art methods.

陆艺鑫;吕震宙;李恒朝

西北工业大学航空学院,西安 710072清洁高效透平动力装备全国重点实验室,西安 710072飞行器基础布局全国重点实验室,西安 710072

航空航天

可靠性寿命可靠性分析重要抽样代理模型涡轮轴

reliability lifetimereliability analysisimportance samplingsurrogate modelturbine shaft

《航空学报》 2026 (2)

124-135,12

国家自然科学基金(12572141) National Natural Science Foundation of China(12572141)

10.7527/S1000-6893.2025.32111

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