Efficient Numerical Integration Algorithm of Probabilistic Risk Assessment for Aero-Engine Rotors Considering In-Service Inspection Uncertainties

Numerical integration methods have the characteristics of high efficiency and precision, making them attractive for aero-engine probabilistic risk assessment and design optimization of an inspection plan. One factor that makes the numerical integration method a suitable approach to in-service inspec...

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Vydáno v:Aerospace Ročník 9; číslo 9; s. 525
Hlavní autoři: Li, Guo, Liu, Junbo, Zhou, Huimin, Zuo, Liangliang, Ding, Shuiting
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.09.2022
Témata:
Accuracy
Aerospace engines
Aircraft reliability
Algorithms
Aviation
calculation efficiency
Computer simulation
Conservation
Crack propagation
Derivation
Design optimization
Domains
Efficiency
Engine components
Evolution
Failure analysis
Inspection
Methods
Monte Carlo method
Monte Carlo simulation
non-destructive inspection
Numerical integration
numerical integration method
Numerical methods
Probabilistic risk assessment
probabilistic risk assessment (PRA)
Probability
probability of failure calculation
Random variables
Risk assessment
Rotors
Sampling techniques
Software
Statistical analysis
Uncertainty
uncertainty analysis
ISSN:2226-4310, 2226-4310
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Shrnutí:Numerical integration methods have the characteristics of high efficiency and precision, making them attractive for aero-engine probabilistic risk assessment and design optimization of an inspection plan. One factor that makes the numerical integration method a suitable approach to in-service inspection uncertainties is the explicit derivation of the integration formula and integration domains. This explicit derivation ensures accurate characterization of a multivariable system’s failure risk evolution mechanism. This study develops an efficient numerical integration algorithm for probabilistic risk assessment considering in-service inspection uncertainties. The principle of probability conservation is applied to the transformation of the integration domain from the current flight cycle to the initial (N = 0) computational space. Consequently, the integration formula of failure probability is deduced, and a detailed mathematical demonstration of the proposed method is provided. An actual compressor disk is evaluated using the efficient numerical integration algorithm and the Monte Carlo simulation to validate the accuracy and efficiency of the proposed method. Results show that the time cost of the proposed algorithm is dozens of times lower than that of the Monte Carlo simulation, with a maximum relative error of 5%. Thus, the efficient numerical integration algorithm can be applied to failure analysis in the airworthiness design of commercial aero-engine components.
Bibliografie:ObjectType-Article-1
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ISSN:2226-4310
2226-4310
DOI:10.3390/aerospace9090525