Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process

Lei Wang, Xiaojun Wang, Ruixing Wang and Xiao Chen

Mathematical Problems in Engineering, 2015, vol. 2015, 1-16

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:914893

DOI: 10.1155/2015/914893

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