Reliability analysis using object-oriented constrained optimization

By B. Low, Wilson Hon-Chung Tang. 2004

193 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Environmental Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/fb802e827b2ae70b92bb4d17d64ac79b0931e027

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In Computational Theory and Mathematics

In Environmental Engineering

In Statistics and Probability

Citations in the corpus

SYSTEM RELIABILITY OF SLOPES BY RFEM (2010, methodology): “The conceptual and implementation barriers surrounding the use of bHL for correlated normals and the FORM for correlated non-normals can largely be overcome, as was shown by Low and Tang (1997, 2004).”
Efficient reliability method for implicit limit state surface with correlated non‐Gaussian variables (2015, methodology): “An alternative formulation of β in x-space or in the space of standardized (correlated) normal variables (n-space) is presented by Low and Tang [1, 2]:”
Influence of spatial variability on slope reliability using 2-D random fields. (2009, methodology): “An alternative interpretation involving an equivalent hyperellipsoid was given in Low and Tang 2004 and Low 2005 as follows: = min g=0 Xi − iN i N TR−1 Xi − iN iN i = 1,2, . . . ,n 12 where Xi= ith random variable, i N=equivalent normal mean of the ith random variable, i N=equivalent normal…”
Response surface methods for slope reliability analysis: Review and comparison (2016, background): “Reliability analysis of soil slopes has gained considerable attention in the geotechnical reliability community over the past few decades (e.g., Baecher and Christian, 2003; Low and Tang, 2004; Cho, 2007, 2009, 2010, 2013; Fenton and Griffiths, 2008; Ching et al., 2009; Wang et al., 2010, 2011; Ji a”
Efficient Probabilistic Algorithm Illustrated for a Rock Slope (2008, methodology): “These mean values sometimes require separate calculations, for example when triangular, Weibull, gamma, beta or PERT distributions are involved, as explained in Fig. 3 of Low and Tang (2004) .”
Reliability analysis of shallow tunnels using the response surface methodology (2017, background): “1). bHL can then be expressed as (Low & Tang, 1997, 2004): bHL ¼ minx2F ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi x lNx rNx T ½R 1 x l N x rNx s ð2Þ in which [R] 1 is the inverse of the…”