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Simulation in Time-Invariant and Time-Variant Reliability Problems
As a class of techniques useful in the solution of structural reliability problem formulations, simulation methods have attracted considerable interest as viable alternatives to numerical integration or First Order Second Moment or First Order Reliability (FOSM/FOR) methods. Further, the various methods which have been proposed owe a considerable debt to the better understanding of the mathematical nature of structural reliability problems engendered by FOSM and FOR methods. This theme is explored herein, as part of an overview of simulation methods for so-called “time-invariant” and “time-variant” structural reliability problems.
The strategies which are reviewed include importance sampling, adaptive, or search-based sampling, multiple limit state problems, and conditional expectation in rectangular co-ordinate systems. Directional sampling in the hyper-polar co-ordinate space also is described briefly, together with its extension for determination of outcrossing rates for continuous and discrete processes. Throughout the emphasis is on the ideas inherent in the procedures and their possible development rather than on a detailed historical perspective.
Simulation in Time-Invariant and Time-Variant Reliability Problems
As a class of techniques useful in the solution of structural reliability problem formulations, simulation methods have attracted considerable interest as viable alternatives to numerical integration or First Order Second Moment or First Order Reliability (FOSM/FOR) methods. Further, the various methods which have been proposed owe a considerable debt to the better understanding of the mathematical nature of structural reliability problems engendered by FOSM and FOR methods. This theme is explored herein, as part of an overview of simulation methods for so-called “time-invariant” and “time-variant” structural reliability problems.
The strategies which are reviewed include importance sampling, adaptive, or search-based sampling, multiple limit state problems, and conditional expectation in rectangular co-ordinate systems. Directional sampling in the hyper-polar co-ordinate space also is described briefly, together with its extension for determination of outcrossing rates for continuous and discrete processes. Throughout the emphasis is on the ideas inherent in the procedures and their possible development rather than on a detailed historical perspective.
Simulation in Time-Invariant and Time-Variant Reliability Problems
Rackwitz, Rüdiger (editor) / Thoft-Christensen, Palle (editor) / Melchers, R. E. (author)
1992-01-01
44 pages
Article/Chapter (Book)
Electronic Resource
English
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