Reliability updating with equality information

By Daniel Straub. 2011

145 citations recorded by the source corpus.

In many instances, information on engineering systems can be obtained through measurements, monitoring or direct observations of system performances and can be used to update the system reliability estimate. In structural reliability analysis, such information is expressed either by inequalities (e.g. for the observation that no defect is present) or by equalities (e.g. for quantitative measurements of system characteristics). When information Z is of the equality type, the a-priori probability of Z is zero and most structural reliability methods (SRM) are not directly applicable to the computation of the updated reliability. Hitherto, the computation of the reliability of engineering systems conditional on equality information was performed through first- and second order approximations. In this paper, it is shown how equality information can be transformed into inequality information, which enables reliability updating by solving a standard structural system reliability problem. This approach enables the use of any SRM, including those based on simulation, for reliability updating with equality information. It is demonstrated on three numerical examples, including an application to fatigue reliability.

Subfields: Civil and Structural Engineering, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d7558946b5834c75cc8db29f228fcbed4cd049fb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Iason Papaioannou
2. Daniel Straub
3. Yiannis Papadopoulos
4. Sohag Kabir

In Mechanics of Materials

1. Iason Papaioannou
2. Daniel Straub

In Statistics and Probability

1. Iason Papaioannou
2. Daniel Straub
3. Kai Cheng
4. Xiaobo Zhang
5. Yanping Wang
6. Zhenzhou Lu
7. Yiannis Papadopoulos
8. Sohag Kabir

Citations in the corpus

• Learning soil parameters and updating geotechnical reliability estimates under spatial variability – theory and application to shallow foundations (2017, methodology): “Discussions on the determination of prior distributions for Bayesian analysis of geotechnical properties can be found in Straub and Papaioannou (2015) and Cao, Wang, and Li (2016). In the case where prior information is vague, a so-called non-informative or weakly informative prior is to be chosen.”
• Bayesian Updating with Structural Reliability Methods (2015, methodology): “Bayesian updating with structural reliability methods 4/34 described in (Straub 2011) for Bayesian updating of the reliability of engineering systems.”