The effect of correlations among random member properties on structural reliability
| Autor: | Dimos C. Charmpis |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Multivariate statistics
Covariance matrix Monte Carlo method 0211 other engineering and technologies Univariate Sampling (statistics) 020101 civil engineering 02 engineering and technology Building and Construction 0201 civil engineering Joint probability distribution 021105 building & construction Architecture Probability distribution Statistical physics Safety Risk Reliability and Quality Randomness Civil and Structural Engineering Mathematics |
| Zdroj: | Structures. 19:463-475 |
| ISSN: | 2352-0124 |
| Popis: | This paper investigates the influence that correlations among random member properties have on structural reliability analysis results. The overall input uncertainty for a reliability analysis is jointly described with a multivariate probability distribution; each marginal of the joint distribution describes the randomness of a structural property for a member or group of members of a structure, while the correlation matrix specifies the degrees of interdependence among the random member properties. This type of joint uncertainty is effectively handled with a Monte Carlo (MC) simulation procedure, which is used to compute probabilities of partial/full collapse (failure probabilities) of elastoplastic structures without restrictions on how the marginal member properties are distributed and correlated. A specialized two-step heuristic sampling approach is employed to generate multivariate random samples and induce arbitrary intercorrelations for the MC simulations: first a univariate random sample from each marginal input distribution is independently generated; then a simulated annealing optimizer rearranges the univariate random samples, in order to induce the pre-specified correlations between them. The numerical results obtained for two elastoplastic steel frames reveal significant variations of structural reliability for various correlation values and patterns of random member properties. |
| Databáze: | OpenAIRE |
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