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Dynamic fuzzy reliability analysis method based on Copula function failure related system

A dynamic fuzzy and system dynamic technology, applied in probabilistic CAD, stochastic CAD, electrical digital data processing, etc., to improve the effect of prediction results

Pending Publication Date: 2020-03-27
XIDIAN UNIV
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Problems solved by technology

[0005] Copula function has been widely used in system static reliability analysis by many scholars in recent years because it can better deal with the correlation problems between structures or parts, and has achieved a lot of research results, but how to combine Copula function to the system Dynamic reliability and system dynamic fuzzy reliability analysis, there are still some technical problems and difficulties

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  • Dynamic fuzzy reliability analysis method based on Copula function failure related system
  • Dynamic fuzzy reliability analysis method based on Copula function failure related system
  • Dynamic fuzzy reliability analysis method based on Copula function failure related system

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Embodiment Construction

[0034] Attached below figure 1 The flow shown further illustrates the specific implementation of the invention.

[0035] The dynamic fuzzy reliability analysis method based on Copula function failure correlation system of the present invention comprises the following steps:

[0036] 1. Calculation of dynamic fuzzy reliability of a single part

[0037] 1.1 Two-state assumption fuzzy reliability calculation formula

[0038] Based on the theory of fuzzy mathematics, it is assumed that the fuzzy intensity and fuzzy stress The membership functions of and If the blur intensity is greater than the blur stress The structure is safe if the fuzzy intensity is less than the fuzzy stress then the structure fails. Given a cutoff level λ σ ,λ s All belong to the closed interval 0 to 1. According to the definition of the cut interval, the strength cut interval can be obtained as The stress cut-off interval is assume and , the probability density functions are and ...

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Abstract

The invention discloses a Copula function failure related system-based dynamic fuzzy reliability analysis method, which comprises the following steps of: 1) calculating the dynamic fuzzy reliability of a single part, and substituting the value of the dynamic fuzzy reliability into a Copula function series or parallel system-based dynamic fuzzy reliability calculation formula; (2) Copula function parameters are estimated, according to the method, kendall rank correlation coefficients between the parts are calculated firstly, and then parameter values of all Copula functions are calculated through the relation between the kendall rank correlation coefficients and the Copula function parameters; and 3) the dynamic fuzzy reliability value of the system can be obtained through the solved parameter value of the Copula function and the dynamic fuzzy reliability value of the single part.

Description

technical field [0001] The present invention relates to the analysis of system reliability, specifically using Copula function as a tool, considering the failure correlation between parts, including the reliability analysis of series system and parallel system. Background technique [0002] Reliability is a quality mark of a product with a time attribute, which is defined as the ability of a product to complete a specified function within a specified time under specified conditions. Product reliability is determined by many factors such as design, manufacture, use, and maintenance. Reliability issues were first raised by the United States because of failures in its aviation and marine electronic equipment. During World War II, when American aircraft were transported to the Far East to fight, more than 60% of the aircraft could not take off due to the failure of electronic tubes, and the failure rate of the electronic equipment of its naval ships reached 70%. This also prom...

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Application Information

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IPC IPC(8): G06F30/27G06F119/02G06F111/08
Inventor 周昌虎马娟姜浩李正文杨立成
Owner XIDIAN UNIV
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