Directional methods for structural reliability analysis
By J. Nie, B. Ellingwood. 2000
260 citations recorded by the source corpus.
Subfields: Management Science and Operations Research, Mechanics of Materials, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/a793b0758fed53bc8c1be386d3b10f3d06574ec7
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In Management Science and Operations Research
In Mechanics of Materials
In Statistics and Probability
Citations in the corpus
- Decomposition methods for structural reliability analysis (2005, methodology): “Table 3 lists the system failure probabilities of the frame, which are calculated by first- and second-order bounds [3, 13], a large-scale directional simulation reported in Ref.”
- A sequential surrogate method for reliability analysis based on radial basis function (2017, methodology): “Since the response surface model evaluation time is far less than that of the original LSF, it is possible to use the approximate model for Mont Carlo Simulation (MCS) or Importance Sampling (IS) [17-19].”
- Structural reliability analysis by univariate decomposition and numerical integration (2007, background): “For non-asymptotic (finite βHL) applications involving a highly nonlinear performance function, its linear or quadratic approximation may not be adequate and therefore resultant FORM/SORM predictions must be interpreted with caution [9].”
- A combined reliability analysis approach with dimension reduction method and maximum entropy method (2011, methodology): “Direct Monte Carlo simulation (Rubinstein 1981) is the most widely used simulation method and there also involves quasi-Monte Carlo simulation (Niederreiter and Spanier 2000), importance sampling (Melchers 1989), directional simulation (Bjerager 1988; Nie and Ellingwood 2000) etc.”
- Design sensitivity and reliability-based structural optimization by univariate decomposition (2008, background): “For nonasymptotic applications involving a highly nonlinear performance function, its linear or quadratic approximation may not be adequate; therefore, resultant FORM/SORM predictions should be interpreted with caution (Bjerager 1988; Nie and Ellingwood 2000).”
- Rare event estimation with sequential directional importance sampling (2022, background): “Some suboptimal choices of h(a) are discussed in [31, 35, 36].”
- A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004, background): “As a result, researchers have developed or examined faster simulation methods, such as quasi-Monte Carlo simulation [22–24], importance sampling [25,26], directional simulation [27,28], and others [29–32].”