Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process
Joint Authors
Wang, Lei
Wang, Ruixing
Chen, Xiao
Wang, Xiaojun
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The objective of the present study is to evaluate the time-dependent reliability for dynamic mechanics with insufficient time-varying uncertainty information.
In this paper, the nonprobabilistic convex process model, which contains autocorrelation and cross-correlation, is firstly employed for the quantitative assessment of the time-variant uncertainty in structural performance characteristics.
By combination of the set-theory method and the regularization treatment, the time-varying properties of structural limit state are determined and a standard convex process with autocorrelation for describing the limit state is formulated.
By virtue of the classical first-passage method in random process theory, a new nonprobabilistic measure index of time-dependent reliability is proposed and its solution strategy is mathematically conducted.
Furthermore, the Monte-Carlo simulation method is also discussed to illustrate the feasibility and accuracy of the developed approach.
Three engineering cases clearly demonstrate that the proposed method may provide a reasonable and more efficient way to estimate structural safety than Monte-Carlo simulations throughout a product life-cycle.
American Psychological Association (APA)
Wang, Lei& Wang, Xiaojun& Wang, Ruixing& Chen, Xiao. 2015. Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1075040
Modern Language Association (MLA)
Wang, Lei…[et al.]. Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process. Mathematical Problems in Engineering No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1075040
American Medical Association (AMA)
Wang, Lei& Wang, Xiaojun& Wang, Ruixing& Chen, Xiao. Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1075040
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075040