Topic

# First-order reliability method

About: First-order reliability method is a research topic. Over the lifetime, 862 publications have been published within this topic receiving 21783 citations.

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01 Jan 1987

TL;DR: Measures of Structural Reliability Assessment, including second-Moment and Transformation Methods, and Probabilistic Evaluation of Existing Structures.

Abstract: Measures of Structural Reliability. Structural Reliability Assessment. Integration and Simulation Methods. Second-Moment and Transformation Methods. Reliability of Structural Systems. Time Dependent Reliability. Load and Load Effect Modelling. Resistance Modelling. Codes and Structural Reliability. Probabilistic Evaluation of Existing Structures. Appendices. References. Index.

3,151 citations

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TL;DR: In this article, a fundamental analysis of the meaning of second-moment reliability in multivariate problems is presented, and the format described is entirely derived from one basic assumption concerning the measurement of reliability.

Abstract: A fundamental analysis of the meaning of second-moment reliability in multivariate problems is presented. The format described is entirely derived from one basic assumption concerning the measurement of reliability. All formulations are exact, and approximations involving the assumption of small variance are only introduced to simplify practical equations. The format is fully invariant under any change of formulation of the failure criteria consistent with the laws of algebra and mechanics.

2,702 citations

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TL;DR: In this paper, an algorithm for the calculation of structural reliability under combined loading is formulated, in which loads or any other actions upon structures are modelled as independent random sequences and the relevant limit state criterion is pointwise approximated by a tangent hyperplane.

Abstract: An algorithm for the calculation of structural reliability under combined loading is formulated. Loads or any other actions upon structures are modelled as independent random sequences. The relevant limit state criterion is pointwise approximated by a tangent hyperplane. The combination of time-variant actions then reduces to the calculation of the maximum of a sum of random variables which is facilitated through proper, discrete approximation of extreme value and other non-normal distribution functions by normal distributions. The iteration algorithm searches for an approximation point on the limit state criterion where the probability content of the failure domain limited by the tangent hyperplane reaches its maximum. Any type of continuous limit state criterion and any distribution type for the loads can be dealt with. The method is illustrated for a section of a wall without tensile strength loaded by a bending moment and a normal force.

1,988 citations

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DNV GL

^{1}TL;DR: Partial Safety Factor Method Probabilistic Information Simple Reliability Index Geometricreliability Index Generalized Reliability index Transformation Sensitivity Analysis Monte Carlo Methods Load Combinations Statistical and Model Uncertainty Decision Philosophy Reliability of Existing Structures System Reliability Analysis.

Abstract: Partial Safety Factor Method Probabilistic Information Simple Reliability Index Geometric Reliability Index Generalized Reliability Index Transformation Sensitivity Analysis Monte Carlo Methods Load Combinations Statistical and Model Uncertainty Decision Philosophy Reliability of Existing Structures System Reliability Analysis Introduction to Process Descriptions.

1,852 citations

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TL;DR: In this article, a method is developed to successively find the multiple design points of a component reliability problem, when they exist on the limit-state surface of the SORM or Formula-SORM approximations at each design point.

Abstract: A method is developed to successively find the multiple design points of a component reliability problem, when they exist on the limit-state surface FORM or SORM approximations at each design point followed by a series system reliability analysis is shown to lead to improved estimates of the failure probability Three example applications show the generality and robustness of the method

351 citations