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Mathematical model of flaw detection

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Mathematical model of flaw detection

Content Provider	Springer Nature Link
Author	Kurakin, A. L. Lobkovsky, L. I.
Copyright Year	2016
Abstract	Analyzing the efficiency of preventive measures based on probability relations of reliability theory demonstrates that these measures principally rank below nondestructive testing (defectoscopy, or flaw detection), which represents a direct diagnostic method for preventing failures and accidents. The proposed mathematical model rests on the interpretation of nondestructive testing as observations of the current state of the basic reliability parameter, namely, the failure rate. Analytical relations of the model are obtained using Kolmogorov’s equations for the limiting probabilities of the state graph of an item–defectoscope system. The model has the following parameters: the failure and restoration rates of an item, the probabilities of errors of the first and second kind of the faults' detection, and the frequency of item testing. The results demonstrate the technological and economic efficiency of flaw detection. Here, the frequency of testing is more important for economic efficiency than small probabilities of errors. The model can be used to optimize performance specifications for the design of flaw detection equipment. The numerical examples approximately correspond to conditions of offshore industry.
Starting Page	84
Ending Page	91
Page Count	8
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	8
Issue Number	1
e-ISSN	20700490
Language	English
Publisher	Pleiades Publishing
Publisher Date	2016-01-28
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	detection of defects of constructions reliability accidents gamma-percentile life failure and restoration rates Kolmogorov’s equation for state graph errors of the first and second kind economic efficiency earning/spending rates Mathematical Modeling and Industrial Mathematics Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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