Reliability calculation method based on the Copula function for mechanical systems with dependent failure

Ying-Kui Gu (), Chao-Jun Fan, Ling-Qiang Liang and Jun Zhang
Additional contact information
Ying-Kui Gu: Jiangxi University of Science and Technology
Chao-Jun Fan: Jiangxi University of Science and Technology
Ling-Qiang Liang: Jiangxi University of Science and Technology
Jun Zhang: Jiangxi University of Science and Technology

Annals of Operations Research, 2022, vol. 311, issue 1, No 8, 99-116

Abstract: Abstract In order to accurately calculate the reliability of mechanical components and systems with multiple correlated failure modes and to reduce the computational complexity of these calculations, the Copula function is used to represent related structures among failure modes. Based on a correlation analysis of the failure modes of parts of a system, a life distribution model of components is constructed using the Copula function. The type of Copula model was initially selected using a binary frequency histogram of the life empirical distribution between the two components. The unknown parameters in the Copula model were estimated using the maximum likelihood estimation method and the most suitable Copula model was determined by calculating the square Euclidean distance. The reliability of series, parallel, and series–parallel systems was analyzed based on the Copula function, where life was used as a variable to measure the correlation between components. Thus, a reliability model of a system with life correlations was established. Reliability calculation of a particular diesel crank and connecting rod mechanism was taken as a practical example to illustrate the feasibility of the proposed method.

Keywords: Reliability; Life distribution; Copula function; Multiple failure modes; Parameter estimation; Crank and connecting rod mechanism (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://link.springer.com/10.1007/s10479-019-03202-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:311:y:2022:i:1:d:10.1007_s10479-019-03202-5

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-019-03202-5

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().