Reliability analysis and updating of deteriorating systems with subset simulation

Schneider, Ronald; Thöns, Sebastian; Straub, Daniel

doi:10.1016/j.strusafe.2016.09.002

Cited by 62 publications

(28 citation statements)

References 52 publications

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“…In addition, current simulation-based methods (e.g. MCMC) are not well suited to estimate small probabilities of failure, even if recent developments are improving this [60,49]. The limitations of the proposed approach are related to the discretization of the continuous random variables.…”

Section: Discussionmentioning

confidence: 99%

“…The structure is loaded in horizontal direction by a concentrated force L at the upper left node of the structure and by gravity load. The details of the geometrical and material properties of the structure are described in [49].…”

Section: Steel Framementioning

confidence: 99%

“…Only a few publications consider the updating of the reliability at the structural system level. Therein, the dependence among component deterioration states is modeled either through the correlation among the deterioration limit states [40,22,28] or through a hierarchical model [34,8,32,53,49]. More recently, a number of researchers have considered the planning and optimization of inspection and maintenance actions in structural systems with dependent component deterioration [59,44,43,38].…”

Section: Introductionmentioning

confidence: 99%

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Reliability analysis and updating of deteriorating systems with dynamic Bayesian networks

2016

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Section: Discussionmentioning

confidence: 99%

Section: Steel Framementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reliability analysis and updating of deteriorating systems with dynamic Bayesian networks

2016

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“…The judgment matrix is constructed based on the scores of peer experts for each index. Equation (13) shows the definition of the element ij a in the judgment matrix A , in which ij a indicates the relative importance of the ith index over the jth index. (2) Construct the judgment matrix A.…”

Section: Ahp(analytic Hierarchy Process) Methodsmentioning

confidence: 99%

“…In recent years, algorithmic and mathematical methods have been widely used in structural damage detection, such as the Kalman filter and eigen perturbation theories [10,11]. However, there are many random factors in the performance evaluation of a bridge structure, such as resistance and load effects [12,13]. Therefore, probabilistic methods are often used to evaluate the performance of a bridge structure, such as reliability and fragility models [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

System Reliability Evaluation of a Bridge Structure Based on Multivariate Copulas and the AHP–EW Method That Considers Multiple Failure Criteria

et al. 2020

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The system reliability evaluation of a bridge structure is a complicated problem. Previous studies have commonly used approximate estimation methods, such as the wide bounds method and the narrow bounds method, but neither could obtain an accurate result. In recent years, the copula theory has been introduced into the system reliability evaluation, which can obtain more accurate results than the approximate methods. However, most studies simply construct binary copula functions to consider the joint failure of two failure modes. For a complex bridge structure composed of multiple components and failure modes, the joint failure of multiple failure modes needs to be considered. Before evaluating the system reliability, it is necessary to determine the failure criteria of the system. Different failure criteria for simply supported beam bridges have been proposed. However, there is no standard available to determine which failure criterion to choose, and the selection of failure criteria is ambiguous. In this paper, a novel method is proposed to evaluate the system reliability of a simply supported beam bridge by considering multiple failure criteria based on multivariate copulas and the analytic hierarchy process entropy weight (AHP–EW) method. The method first considers multiple failure criteria comprehensively and constructs multivariate copulas for the joint failure of multiple components in a bridge system reliability evaluation. The AHP–EW method is a comprehensive weighting method combining the analytic hierarchy process and entropy weight methods, which is used to establish the hierarchical analysis model between system reliability and multiple failure criteria. By considering the joint failure of multiple failure modes in the system reliability evaluation under a single failure criterion, multivariate copula functions were constructed. In order to verify the applicability of the proposed bridge system reliability method, a simply supported reinforced concrete (RC) hollow slab bridge composed of nine slab segments was selected as the numerical example. The results indicate that the method proposed in this paper could evaluate the bridge system reliability more comprehensively and reasonably.

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Sensorbasierte Identifikation der Struktursteifigkeit zur Bemessung von Stahltragwerken

Kraus

Chowdhury

2022

Stahlbau

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Der Entwurfsprozess von Stahlkonstruktionen erfolgt unter Berücksichtigung verschiedener probabilistischer Annahmen, wie bspw. für die zu erwartenden Belastungen, das Materialverhalten oder die Strukturgeometrie. Der Bemessung liegt ein Sicherheitskonzept zugrunde, das sich auf die Formulierung einer Versagenswahrscheinlichkeit stützt. Dabei müssen die verschiedenen im Bereich des Bauwesens auftretenden Unsicherheiten sachgerecht erfasst und berücksichtigt werden [1], um im Ergebnis eine robuste Konstruktion zu gewährleisten und den gewünschten Sicherheitsanforderungen im Lebenszyklus des Bauwerks zu genügen. Gemäß DIN EN 1990 [2] ist ein Tragwerk so zu planen und auszuführen, dass es während der Errichtung und in der vorgesehenen Nutzungsdauer mit angemessener Zuverlässigkeit und Wirtschaftlichkeit den möglichen Einwirkungen und Einflüssen standhält und die geforderten Anforderungen an die Gebrauchstauglichkeit erfüllt.

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Reliability analysis and updating of deteriorating systems with subset simulation

Cited by 62 publications

References 52 publications

Reliability analysis and updating of deteriorating systems with dynamic Bayesian networks

Reliability analysis and updating of deteriorating systems with dynamic Bayesian networks

System Reliability Evaluation of a Bridge Structure Based on Multivariate Copulas and the AHP–EW Method That Considers Multiple Failure Criteria

Sensorbasierte Identifikation der Struktursteifigkeit zur Bemessung von Stahltragwerken

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