Analysis and Application of Mechanical System Reliability Model Based on Copula Function

There is complicated correlations in mechanical system. By using the advantages of copula function to solve the related issues, this paper proposes the mechanical system reliability model based on copula function. And makes a detailed research for the serial and parallel mechanical system model and...

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Main Authors: An Hai, Yin Hang, He Fukai
Format: Article
Language:English
Published: Sciendo 2016-10-01
Series:Polish Maritime Research
Subjects:
Online Access:https://doi.org/10.1515/pomr-2016-0064
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spelling doaj-0a312dc8d30a417cb549905155654be52021-09-05T13:59:49ZengSciendoPolish Maritime Research2083-74292016-10-0123s118719110.1515/pomr-2016-0064pomr-2016-0064Analysis and Application of Mechanical System Reliability Model Based on Copula FunctionAn Hai0Yin Hang1He Fukai2School of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, ChinaSchool of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, ChinaSchool of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, ChinaThere is complicated correlations in mechanical system. By using the advantages of copula function to solve the related issues, this paper proposes the mechanical system reliability model based on copula function. And makes a detailed research for the serial and parallel mechanical system model and gets their reliability function respectively. Finally, the application research is carried out for serial mechanical system reliability model to prove its validity by example. Using Copula theory to make mechanical system reliability modeling and its expectation, studying the distribution of the random variables (marginal distribution) of the mechanical product’ life and associated structure of variables separately, can reduce the difficulty of multivariate probabilistic modeling and analysis to make the modeling and analysis process more clearly.https://doi.org/10.1515/pomr-2016-0064copula functionmechanical system reliabilitymodel
collection DOAJ
language English
format Article
sources DOAJ
author An Hai
Yin Hang
He Fukai
spellingShingle An Hai
Yin Hang
He Fukai
Analysis and Application of Mechanical System Reliability Model Based on Copula Function
Polish Maritime Research
copula function
mechanical system reliability
model
author_facet An Hai
Yin Hang
He Fukai
author_sort An Hai
title Analysis and Application of Mechanical System Reliability Model Based on Copula Function
title_short Analysis and Application of Mechanical System Reliability Model Based on Copula Function
title_full Analysis and Application of Mechanical System Reliability Model Based on Copula Function
title_fullStr Analysis and Application of Mechanical System Reliability Model Based on Copula Function
title_full_unstemmed Analysis and Application of Mechanical System Reliability Model Based on Copula Function
title_sort analysis and application of mechanical system reliability model based on copula function
publisher Sciendo
series Polish Maritime Research
issn 2083-7429
publishDate 2016-10-01
description There is complicated correlations in mechanical system. By using the advantages of copula function to solve the related issues, this paper proposes the mechanical system reliability model based on copula function. And makes a detailed research for the serial and parallel mechanical system model and gets their reliability function respectively. Finally, the application research is carried out for serial mechanical system reliability model to prove its validity by example. Using Copula theory to make mechanical system reliability modeling and its expectation, studying the distribution of the random variables (marginal distribution) of the mechanical product’ life and associated structure of variables separately, can reduce the difficulty of multivariate probabilistic modeling and analysis to make the modeling and analysis process more clearly.
topic copula function
mechanical system reliability
model
url https://doi.org/10.1515/pomr-2016-0064
work_keys_str_mv AT anhai analysisandapplicationofmechanicalsystemreliabilitymodelbasedoncopulafunction
AT yinhang analysisandapplicationofmechanicalsystemreliabilitymodelbasedoncopulafunction
AT hefukai analysisandapplicationofmechanicalsystemreliabilitymodelbasedoncopulafunction
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