Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features

Anomaly distribution is an essential input for the probabilistic damage tolerance assessment, which is required by the airworthiness certification criteria Federal Aviation Regulation (FAR) 33.70. The default anomaly distribution of hole features has been established and published in airworthiness a...

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Main Authors: Guo Li, Huimin Zhou, Junbo Liu, Shuyang Xia, Shuiting Ding
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2024-12-01
Series:Propulsion and Power Research
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Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X24000026
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author Guo Li
Huimin Zhou
Junbo Liu
Shuyang Xia
Shuiting Ding
author_facet Guo Li
Huimin Zhou
Junbo Liu
Shuyang Xia
Shuiting Ding
author_sort Guo Li
collection DOAJ
description Anomaly distribution is an essential input for the probabilistic damage tolerance assessment, which is required by the airworthiness certification criteria Federal Aviation Regulation (FAR) 33.70. The default anomaly distribution of hole features has been established and published in airworthiness advisory circular 33.70-2 based on historical anomaly data collected from cracked or ruptured parts recorded in laboratory analysis reports of the special industries before 2005. However, for other industries, this default anomaly distribution fails to reflect the machining level of these industries. Besides, insufficient historical maintenance anomaly data makes the mathematical model of the default distribution inapplicable, and few models can deal with the production data. Therefore, this paper proposes a model for achieving the anomaly distribution of hole features induced by machine or maintenance process, including collecting anomaly data, deriving the exceedance number by the probability of detection (POD), conducting the curve fitting process, and calibrating and modifying the anomaly distribution. The anomaly distribution and the probability of failure (POF) are dependent on defect numbers as well as confidence levels. To recommend the number of collected data and the correction factor for the POFs with different sample numbers and confidence levels, the sensitivity analysis is conducted by quantifying the influence of the anomaly distributions of different anomaly numbers on the POFs. Results show that when the anomaly number is 25, the differences between the POFs are less than 32.9%, and a 1.329 correction factor zP is supposed to modify the POF. When the anomaly number is larger than 50, a 1.2 correction factor zP is supposed to obtain the most conservative risk value with a 95% confidence level.
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spelling doaj-art-db37f6c7585c4bfabcce872ead2df9b82025-08-20T02:49:27ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2024-12-0113450352210.1016/j.jppr.2023.07.003Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole featuresGuo Li0Huimin Zhou1Junbo Liu2Shuyang Xia3Shuiting Ding4Aircraft/Engine Integrated System Safety Beijing Key Laboratory, School of Energy and Power Engineering, Beihang University, Beijing 100191, China; Tianmushan Laboratory, Zhejiang 311100, ChinaAircraft/Engine Integrated System Safety Beijing Key Laboratory, School of Energy and Power Engineering, Beihang University, Beijing 100191, China; Corresponding author.Aircraft/Engine Integrated System Safety Beijing Key Laboratory, School of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaAircraft/Engine Integrated System Safety Beijing Key Laboratory, School of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaAircraft/Engine Integrated System Safety Beijing Key Laboratory, School of Energy and Power Engineering, Beihang University, Beijing 100191, China; Civil Aviation University of China, Tianjin 300300, ChinaAnomaly distribution is an essential input for the probabilistic damage tolerance assessment, which is required by the airworthiness certification criteria Federal Aviation Regulation (FAR) 33.70. The default anomaly distribution of hole features has been established and published in airworthiness advisory circular 33.70-2 based on historical anomaly data collected from cracked or ruptured parts recorded in laboratory analysis reports of the special industries before 2005. However, for other industries, this default anomaly distribution fails to reflect the machining level of these industries. Besides, insufficient historical maintenance anomaly data makes the mathematical model of the default distribution inapplicable, and few models can deal with the production data. Therefore, this paper proposes a model for achieving the anomaly distribution of hole features induced by machine or maintenance process, including collecting anomaly data, deriving the exceedance number by the probability of detection (POD), conducting the curve fitting process, and calibrating and modifying the anomaly distribution. The anomaly distribution and the probability of failure (POF) are dependent on defect numbers as well as confidence levels. To recommend the number of collected data and the correction factor for the POFs with different sample numbers and confidence levels, the sensitivity analysis is conducted by quantifying the influence of the anomaly distributions of different anomaly numbers on the POFs. Results show that when the anomaly number is 25, the differences between the POFs are less than 32.9%, and a 1.329 correction factor zP is supposed to modify the POF. When the anomaly number is larger than 50, a 1.2 correction factor zP is supposed to obtain the most conservative risk value with a 95% confidence level.http://www.sciencedirect.com/science/article/pii/S2212540X24000026Anomaly distributionProbability of detection (POD)Probabilistic damage tolerance assessmentHole featureProbability of failure (POF)Confidence level
spellingShingle Guo Li
Huimin Zhou
Junbo Liu
Shuyang Xia
Shuiting Ding
Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
Propulsion and Power Research
Anomaly distribution
Probability of detection (POD)
Probabilistic damage tolerance assessment
Hole feature
Probability of failure (POF)
Confidence level
title Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
title_full Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
title_fullStr Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
title_full_unstemmed Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
title_short Anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
title_sort anomaly distribution acquisition method for probabilistic damage tolerance assessment of hole features
topic Anomaly distribution
Probability of detection (POD)
Probabilistic damage tolerance assessment
Hole feature
Probability of failure (POF)
Confidence level
url http://www.sciencedirect.com/science/article/pii/S2212540X24000026
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AT junboliu anomalydistributionacquisitionmethodforprobabilisticdamagetoleranceassessmentofholefeatures
AT shuyangxia anomalydistributionacquisitionmethodforprobabilisticdamagetoleranceassessmentofholefeatures
AT shuitingding anomalydistributionacquisitionmethodforprobabilisticdamagetoleranceassessmentofholefeatures